1. A sole trader keeps no double-entry records but can establish: net assets at the start of the year were CU60,000, and net assets at the end of the year were CU85,000. During the year, the trader introduced additional capital of CU10,000 (a personal cash injection into the business) and withdrew drawings of CU18,000 (cash and goods taken for personal use). Using the accounting equation (net assets) method, a trainee calculates profit for the year simply as closing net assets minus opening net assets: CU85,000 - CU60,000 = CU25,000, with no further adjustment. Assess this calculation.

A) The calculation is incorrect; the increase in net assets (CU25,000) reflects the combined effect of THREE things: profit for the year, ADDITIONAL CAPITAL introduced (which increases net assets for a reason unrelated to trading profit), and DRAWINGS (which decrease net assets for a reason unrelated to trading losses) -- the correct formula is: profit = increase in net assets - capital introduced + drawings = CU25,000 - CU10,000 + CU18,000 = CU33,000 -- the trainee's CU25,000 figure understates the true trading profit, because it fails to add back the CU18,000 drawings (which reduced net assets without being a trading loss) and fails to remove the CU10,000 capital introduced (which increased net assets without being trading profit)
B) The calculation is incorrect, but only because capital introduced should be treated as revenue, increasing profit rather than being excluded from it
C) The calculation is incorrect, but only because drawings should be added to opening net assets rather than adjusted against the profit figure
D) The calculation is correct; profit is always simply the increase in net assets over the period, with no need to adjust for capital introduced or drawings

Correct: A difficult Incomplete records - net assets/accounting equation method

Under the net assets (accounting equation) method used to reconstruct profit from incomplete records, the movement in net assets over a period reflects not only trading profit or loss but also any owner transactions with the business -- specifically capital introduced (which increases net assets but is not trading profit) and drawings (which decrease net assets but do not represent a trading loss). The correct formula is: Profit for the year = (Closing net assets - Opening net assets) - Capital introduced + Drawings. Applying this: (CU85,000 - CU60,000) - CU10,000 + CU18,000 = CU25,000 - CU10,000 + CU18,000 = CU33,000. The trainee's unadjusted figure of CU25,000 conflates genuine trading performance with the owner's personal capital movements, materially understating the true profit for the year by failing to add back drawings and remove capital introduced.

2. A sole trader's records were destroyed, but it is known that sales for the year were CU240,000, and that the trader consistently prices goods to achieve a 25% MARK-UP on cost (ie gross profit equals 25% of cost of sales, not 25% of sales). An assistant calculates gross profit as 25% of sales (CU240,000 x 25% = CU60,000) and cost of sales as the remaining CU180,000, treating the 25% figure as if it were a MARGIN (gross profit as a percentage of sales) rather than a mark-up (gross profit as a percentage of cost). Identify the correct cost of sales and gross profit figures, and explain the assistant's error.

A) The assistant is incorrect, but mark-up and margin percentages are never used to estimate missing figures in incomplete records, only actual invoices can be used
B) The assistant has confused mark-up with margin, which are NOT interchangeable: a 25% MARK-UP means gross profit = 25% of COST OF SALES, so if cost of sales = C, then sales = C + 0.25C = 1.25C; here, sales of CU240,000 = 1.25C, so cost of sales C = CU240,000 / 1.25 = CU192,000, and gross profit = CU240,000 - CU192,000 = CU48,000 (which, expressed as a percentage of cost of sales, is indeed 25%: CU48,000/CU192,000 = 25%) -- this differs substantially from the assistant's incorrect CU180,000 cost of sales and CU60,000 gross profit, which would actually represent a 33.3% mark-up on cost (CU60,000/CU180,000), not the 25% mark-up actually used by the trader
C) The assistant is correct; a mark-up and a margin are simply two different names for the same calculation, both always expressed as a percentage of sales
D) The assistant is incorrect, but the correct cost of sales is CU300,000, with a resulting gross LOSS of CU60,000

Correct: B difficult Incomplete records - mark-up and margin calculations

Mark-up and margin are related but distinct ways of expressing gross profit as a percentage, and confusing them is a classic error in incomplete records questions. Mark-up expresses gross profit as a percentage of COST OF SALES (gross profit / cost of sales), while margin expresses gross profit as a percentage of SALES (gross profit / sales). For a 25% mark-up: if cost of sales = C, then gross profit = 0.25C, and sales = C + 0.25C = 1.25C. Given sales of CU240,000: 1.25C = CU240,000, so C (cost of sales) = CU192,000, and gross profit = CU240,000 - CU192,000 = CU48,000. Checking: CU48,000 / CU192,000 = 25%, confirming this is indeed a 25% mark-up on cost. The assistant incorrectly treated the 25% as a margin (25% of sales = CU60,000 gross profit, CU180,000 cost of sales), which actually corresponds to a mark-up of CU60,000/CU180,000 = 33.3%, not the 25% mark-up actually specified -- a materially different (and incorrect) result.

3. A shopkeeper who banks takings irregularly suspects an employee has been stealing cash from the till. From available records: total cash sales for the period (per till records) were CU45,000; cash payments made directly out of the till for sundry shop expenses were CU3,000; cash banked during the period was CU38,000; and the cash float at the till was unchanged from the start to the end of the period (so no opening/closing till balance adjustment is needed). Using a reconstructed cash (till) account, calculate the amount of cash apparently stolen or missing, and identify the correct reconstruction approach.

A) No cash is missing; the shopkeeper should simply compare closing inventory to opening inventory to identify any theft, since cash records are not relevant to detecting cash theft
B) The missing cash cannot be calculated at all without knowing the exact days on which theft occurred
C) Reconstructing the till account: cash sales (receipts) of CU45,000 should be fully accounted for by cash payments out of the till (CU3,000) plus cash banked (CU38,000), totalling CU41,000 -- leaving a shortfall (cash missing/stolen) of CU45,000 - CU41,000 = CU4,000; this CU4,000 represents cash that was received into the till but neither spent on legitimate expenses nor banked, and (with the till float unchanged) cannot be explained by any other legitimate movement, indicating it was most likely stolen or otherwise gone missing
D) The missing cash is CU7,000, calculated as cash banked (CU38,000) minus cash payments (CU3,000), ignoring total cash sales entirely

Correct: C difficult Incomplete records - cash account reconstruction, identifying missing cash

To identify cash missing from till takings, a cash (till) account is reconstructed: the receipts side records cash sales (CU45,000, the total cash that should have entered the till), and the payments side records all EXPLAINED outflows -- here, cash payments for sundry expenses (CU3,000) and cash banked (CU38,000), totalling CU41,000. If the till float (opening and closing) is unchanged, the receipts should exactly equal the explained payments; any shortfall between the two represents cash that entered the till but cannot be traced to a legitimate use -- ie missing or stolen cash. Here: CU45,000 (cash sales received) - CU41,000 (explained outflows: CU3,000 expenses + CU38,000 banked) = CU4,000 unexplained shortfall, which is treated as cash stolen or otherwise missing. This reconstruction technique (a cash/till account working from known receipts and identified legitimate payments to isolate an unexplained balancing figure) is a standard incomplete records technique for identifying cash defalcations, distinct from techniques used to identify inventory shortages (which instead reconstruct a memorandum trading account comparing expected closing inventory, based on sales and margin, against actual physical inventory counted).

4. A sole trader does not keep full double-entry records, but the following information is available for the year: payments to suppliers during the year (per the cash book) $180,000; opening trade payables $25,000; closing trade payables $32,000; and there were no discounts received, returns, or contra entries with suppliers during the year. Using a payables control account reconstruction, calculate the figure for PURCHASES (on credit) for the year.

A) $205,000 (calculated by adding both opening and closing payables to the cash paid figure)
B) $173,000 (calculated by deducting the increase in payables from cash paid, the reverse of the correct adjustment)
C) $180,000 (simply the cash paid to suppliers during the year, with no adjustment for the change in payables)
D) $187,000 -- reconstructing the payables control account: closing payables = opening payables + purchases (on credit) - payments made to suppliers (assuming no discounts, returns, or contras); rearranging to solve for purchases: purchases = closing payables - opening payables + payments made = $32,000 - $25,000 + $180,000 = $187,000, reflecting that payables INCREASED by $7,000 during the year, meaning purchases must have exceeded cash payments by that same $7,000 for the payables balance to have grown as it did

Correct: D difficult Incomplete records - control account reconstruction for purchases

When full purchases records are not kept (as is typical in incomplete records situations), the purchases figure for the year can be derived by reconstructing the payables control account, using the relationship: opening payables + purchases (on credit) - payments to suppliers (- discounts received - returns, if any) = closing payables. Rearranging to solve for the unknown purchases figure: purchases = closing payables - opening payables + payments made to suppliers = $32,000 - $25,000 + $180,000 = $187,000. This makes intuitive sense: since payables INCREASED by $7,000 over the year (from $25,000 to $32,000), the business must have purchased $7,000 MORE on credit than it paid out in cash during the year, for the outstanding balance owed to suppliers to have grown by that amount -- simply using the cash paid figure alone (as in option C) would understate the true purchases figure by ignoring this net increase in the amount still owed at the year end.

5. A retailer's warehouse is destroyed by fire, along with all inventory held there, three months before the year end. No physical inventory count is possible since everything was destroyed, so the retailer needs to ESTIMATE the value of the inventory lost for insurance claim purposes. The following information is available for the period from the start of the year to the date of the fire: sales $150,000; opening inventory (at the start of the year) $20,000; purchases during this period $110,000; and the business's gross profit margin (gross profit as a percentage of sales) is known from previous years to be consistently 40%. Estimate the value of the inventory destroyed in the fire.

A) $20,000 (simply the opening inventory figure, ignoring all activity during the period)
B) $60,000 (using the gross profit figure itself as the estimate of inventory destroyed, without deriving cost of sales)
C) $40,000 -- using the known gross profit margin to estimate cost of sales, then working back to the inventory destroyed: gross profit = 40% x $150,000 sales = $60,000, so cost of sales = sales - gross profit = $150,000 - $60,000 = $90,000; then, since cost of sales = opening inventory + purchases - closing inventory, closing inventory (immediately before the fire, i.e. the inventory destroyed) = opening inventory + purchases - cost of sales = $20,000 + $110,000 - $90,000 = $40,000, giving an estimated $40,000 of inventory destroyed in the fire, which forms the basis for the insurance claim
D) $90,000 (using the estimated cost of sales figure directly as the value of inventory destroyed)

Correct: C difficult Incomplete records - gross profit margin method for inventory loss estimation

When inventory is destroyed and no physical count is possible, the GROSS PROFIT MARGIN method is a standard technique for estimating the value of inventory lost, using known historical gross profit percentages as a reasonable basis for estimation. The method works by first estimating gross profit using the known margin (40% x $150,000 sales = $60,000 gross profit), then deriving cost of sales as sales minus this estimated gross profit ($150,000 - $60,000 = $90,000). Since cost of sales is, by definition, opening inventory plus purchases minus closing inventory, rearranging gives: closing inventory (i.e. the inventory that existed immediately before the fire and was therefore destroyed) = opening inventory + purchases - cost of sales = $20,000 + $110,000 - $90,000 = $40,000. This $40,000 represents the best available estimate of the inventory destroyed, and would typically form the basis of the insurance claim submitted, in the absence of any way to physically verify the actual inventory level at the date of the fire.

6. A sole trader operating a shop takes goods from the shop's inventory for personal/family use during the year, without paying for them and without recording any transaction in the accounting records at all. The goods taken had a cost to the business of $3,000. A trainee, aware that this needs correcting somehow, is unsure how it affects the financial statements. Explain the correct treatment of these goods taken for personal use (drawings in kind).

A) No adjustment is needed, since no cash changed hands and the goods were simply removed informally
B) The $3,000 (at COST, not selling price) should be treated as DRAWINGS -- reducing the owner's capital account (since this is a withdrawal of business resources by the owner for personal use, exactly as if cash had been withdrawn) -- and should also be DEDUCTED from purchases (or added to closing inventory / removed from cost of sales), since these goods were never actually sold to a third-party customer and therefore should not be included in the cost of goods sold to external customers; failing to make this adjustment would overstate cost of sales (and understate profit) by including goods that left the business for the owner's personal benefit rather than through an actual sale, while also understating the owner's drawings and overstating closing capital if the capital account adjustment is also omitted
C) The $3,000 should be recorded as a SALE at normal selling price, since goods leaving the business should always be treated as being sold
D) The $3,000 should be added to purchases, increasing cost of sales, since the goods still need to be accounted for as an expense

Correct: B difficult Incomplete records - drawings in kind

Goods taken by the owner of a sole trader business for personal use, without payment, are known as DRAWINGS IN KIND, and must be accounted for at the COST of the goods to the business (not their normal selling price, since no actual sale to a third party occurred). The correct treatment has two aspects: first, the goods must be treated as DRAWINGS, reducing the owner's capital account, exactly as cash drawings would (since the owner has withdrawn business resources for personal benefit); second, the cost of these goods must be REMOVED from the cost of sales calculation (either by deducting them directly from purchases, or by treating them as if they remained in inventory and were never sold to a customer), since including them within cost of sales would incorrectly suggest they were sold to generate the reported sales revenue, when in fact no sale to an external customer took place at all. Failing to make both adjustments would overstate cost of sales (understating gross profit and net profit) while also failing to correctly reduce the owner's capital account for the value of goods withdrawn for personal use.

7. A sole trader's receivables balance was $42,000 at the start of the year and $51,000 at the end of the year. During the year, $380,000 was received in cash from credit customers, discounts allowed to credit customers totalled $6,000, and irrecoverable debts of $3,000 were written off. Using the receivables control account reconstruction technique, calculate the CREDIT SALES for the year.

A) Credit sales = closing receivables + cash received + discounts allowed + irrecoverable debts written off - opening receivables = $51,000 + $380,000 + $6,000 + $3,000 - $42,000 = $398,000. This is derived by reconstructing the receivables control account: the opening balance (debit) plus credit sales (debit, the unknown) must equal cash received, discounts allowed and irrecoverable debts written off (all credits, reducing receivables) plus the closing balance (debit, carried down); rearranging this equality isolates credit sales as the balancing figure
B) Credit sales = cash received from customers = $380,000, since receivables always equal cash collected from customers during the period
C) Credit sales = closing receivables minus opening receivables = $51,000 - $42,000 = $9,000
D) Credit sales = cash received minus discounts allowed and irrecoverable debts = $380,000 - $6,000 - $3,000 = $371,000

Correct: A difficult Incomplete records - receivables control account reconstruction for credit sales

When a business has not maintained a complete sales day book or has otherwise lost track of its credit sales figure, the receivables (sales ledger) control account can be reconstructed to derive it as a balancing figure. The control account works as follows: the opening receivables balance ($42,000, debit) plus credit sales during the year (debit, being the amount owed by customers arising from new credit sales) must together account for everything that reduced receivables during the year -- cash received from customers ($380,000, credit), discounts allowed to encourage prompt payment ($6,000, credit), and irrecoverable debts written off ($3,000, credit) -- plus whatever remains owing at the year end (the closing receivables balance of $51,000, carried down as a debit). Rearranging this relationship, credit sales = closing receivables + cash received + discounts allowed + irrecoverable debts written off - opening receivables = $51,000 + $380,000 + $6,000 + $3,000 - $42,000 = $398,000. This control account balancing-figure technique is a core incomplete records skill, distinct from simply looking at how much the receivables balance itself has changed over the year (which by itself only reflects the net movement, not the gross sales figure).

8. A sole trader has not maintained double-entry accounting records and cannot state their capital at the start of the year directly. At the start of the year, the trader's identifiable assets were: non-current assets $95,000, inventory $18,000, receivables $22,000, and cash at bank $7,000; identifiable liabilities were: payables $14,000 and a bank loan $20,000. How is the trader's OPENING capital determined in this situation, and what is the resulting amount?

A) Opening capital is simply total assets alone, $142,000, since liabilities are not relevant to a statement of affairs
B) Opening capital is assumed to be zero whenever records are incomplete, since only the closing financial position can ever be reliably calculated
C) Opening capital cannot be determined at all without a full, formal set of double-entry books, so no incomplete records technique can be applied in this situation
D) In the absence of a formal opening balance sheet, opening capital is determined by preparing a STATEMENT OF AFFAIRS at the start of the year -- an opening balance sheet constructed by listing all identifiable assets and liabilities at that date and applying the accounting equation, Capital = Assets - Liabilities. Here, total assets = $95,000 + $18,000 + $22,000 + $7,000 = $142,000; total liabilities = $14,000 + $20,000 = $34,000; opening capital = $142,000 - $34,000 = $108,000. This opening capital figure provides the essential starting point for the net assets method of deriving profit for the year, by comparison with closing capital, adjusted for capital introduced and drawings

Correct: D difficult Incomplete records - statement of affairs technique for determining opening capital

Where a business has not kept formal double-entry records, there is no ledger-based trial balance or balance sheet from which opening capital can simply be read off. Instead, accountants construct a STATEMENT OF AFFAIRS -- in substance, an opening balance sheet built up from scratch by identifying and listing all of the business's assets (non-current assets, inventory, receivables, cash) and liabilities (payables, loans) as at the relevant date, then applying the fundamental accounting equation, Capital = Assets - Liabilities, to derive the capital figure that must exist to make the equation balance. Here, total assets of $142,000 less total liabilities of $34,000 gives an opening capital of $108,000. This technique is foundational to incomplete records work generally: the resulting opening capital figure is typically then compared against a similarly derived CLOSING capital figure (via a statement of affairs at the year end), with the difference between the two, after adjusting for any capital introduced by the owner during the year and drawings taken out, used to derive the profit for the year under the net assets (accounting equation) method.

9. A sole trader's bank summary for the year shows total payments out of the bank of $214,000, of which $180,000 relates to identified categories (purchases, rent, and other recorded expenses); the trader kept no separate record of wages paid, and it is established that the residual (unidentified) bank payments of $34,000 relate entirely to wages paid in cash from the bank during the year. The wages accrual (amount owed to employees for work done but not yet paid) was $2,000 at the start of the year and $3,500 at the end of the year. Calculate the wages EXPENSE to be charged in the statement of profit or loss for the year, on an accruals basis.

A) Wages expense = opening wages accrual plus closing wages accrual = $2,000 + $3,500 = $5,500, with the cash paid figure disregarded entirely
B) Wages expense = wages paid minus closing wages accrual = $34,000 - $3,500 = $30,500
C) Wages expense = wages paid during the year + closing wages accrual - opening wages accrual = $34,000 + $3,500 - $2,000 = $35,500. This adjusts the cash paid figure (itself derived as the residual/balancing figure from the bank payments summary) for the wages accrued (earned by employees but not yet paid) at each year end, so that the profit or loss charge reflects wages actually EARNED during the year, consistent with the accruals concept, rather than merely the cash that happened to be paid
D) Wages expense = wages paid during the year = $34,000, since the amount paid in cash always equals the accruals-basis expense for the period

Correct: C difficult Incomplete records - bank summary reconstruction combined with accruals-basis expense matching

This question combines two incomplete records skills. First, the cash actually paid for wages during the year ($34,000) must itself be derived as a residual/balancing figure from the overall bank payments summary, once all other identified categories of payment have been accounted for -- a standard technique when a business has not kept a dedicated wages record. Second, and separately, the cash paid figure cannot simply be used as the profit or loss wages EXPENSE, because the accruals concept requires that wages expense be recognised in line with work actually performed by employees, not merely when cash happens to be paid. Since $2,000 of wages was owed (accrued) at the start of the year (relating to work done in the prior year but paid in this year) and $3,500 was owed (accrued) at the end of the year (relating to work done in this year but not yet paid), the accruals-basis wages expense for the year is: cash paid + closing accrual - opening accrual = $34,000 + $3,500 - $2,000 = $35,500. The closing accrual is added because it represents wages earned this year that have not yet been paid (and so are not included in the $34,000 cash figure but should be part of this year's expense), while the opening accrual is deducted because it represents wages paid this year that were actually earned, and therefore expensed, in the prior year.

10. A sole trader operates a small office and reimburses her petty cash tin under an IMPREST system: the fund is always topped back up to a fixed float of $200 at the start of each month. At the start of March, the tin held the full $200 float. At the end of March, before topping up, only $35 remained in the tin, supported by petty cash vouchers for stationery, tea/coffee supplies, and minor postage. How much petty cash expenditure was incurred during March, and how much must be reimbursed to restore the imprest float?

A) Expenditure during March was $35 (the amount remaining in the tin), and no further reimbursement is needed since the tin still holds a positive balance
B) Expenditure during March was $200, the full original float amount, regardless of how much cash remains in the tin at the end of the month
C) No expenditure figure can be determined without a separate day book recording every individual petty cash transaction as it occurs
D) Under the IMPREST system, the float is always restored to its fixed original amount ($200) at each reimbursement -- the AMOUNT SPENT during the period is therefore the difference between the float and what remains: $200 minus $35 = $165 of expenditure incurred during March (supported by the vouchers retained). The reimbursement needed to restore the float to $200 for April is therefore also $165 -- topping the $35 remaining back up to the full $200 float. The KEY feature of the imprest system is that the amount reimbursed each period automatically equals the amount actually spent, since the float itself never changes in size, only its composition (cash plus vouchers) between reimbursements

Correct: D difficult Incomplete records - reconstructing expenditure under an imprest petty cash system

Under an IMPREST petty cash system, a FIXED FLOAT is established (here, $200), and at each reimbursement point, the fund is topped back up to that SAME fixed amount, based on the vouchers presented for expenditure incurred since the last reimbursement. This means that, at any point before reimbursement, the imprest float is always represented by CASH REMAINING plus the TOTAL VALUE OF VOUCHERS for expenditure already incurred, which together should always equal the original float amount. Here, with $35 cash remaining and the float set at $200, the vouchers (and hence the expenditure incurred during March) must total $200 minus $35 = $165. This is precisely why the imprest system is useful for incomplete-records-style reconstruction: the amount needed to reimburse the fund back to its fixed float automatically reveals the exact amount spent during the period, without requiring a separate, continuously updated cash book for petty cash transactions.

11. A sole trader keeps no purchases day book. To reconstruct total purchases on credit for the year, the accountant uses the payables control account, with opening payables of $18,000, closing payables of $22,000, and cash paid to suppliers during the year of $95,000. The accountant also discovers that $2,500 of the amount owed to one supplier, Kappa Ltd, was settled not by cash but by a CONTRA/set-off against an amount Kappa Ltd separately owed the business as a customer. How should this contra be incorporated into the reconstruction of total credit purchases for the year?

A) The payables control account must be balanced using ALL the ways in which payables were reduced during the year, not cash payments alone -- the contra/set-off of $2,500 reduced payables in exactly the same way a cash payment would have, so it must be included as a further reduction alongside the $95,000 cash paid. Reconstructing the account: opening payables $18,000, plus purchases (the balancing figure, X), minus cash paid $95,000, minus contra $2,500, equals closing payables $22,000. Solving for X: 18,000 + X - 95,000 - 2,500 = 22,000, so X = $101,500 of credit purchases during the year -- omitting the contra entry would have understated reconstructed purchases by $2,500
B) The contra entry should be added to, rather than deducted from, the payables control account when reconstructing purchases, since it represents an increase in what the business owed
C) The contra entry is ignored entirely, since only actual cash payments should be included when reconstructing purchases via the payables control account
D) The existence of a contra entry means the payables control account method cannot be used at all, and purchases must instead be estimated using a mark-up percentage

Correct: A difficult Incomplete records - payables control account reconstruction incorporating a contra entry

When reconstructing total credit purchases via a payables control account in an incomplete records scenario, EVERY item that reduces the payables balance during the year must be accounted for, not merely cash payments -- otherwise the reconstructed purchases figure will be understated by the value of any non-cash reductions. A CONTRA (set-off) entry, where an amount owed to a supplier is settled by offsetting it against an amount that same party separately owes the business as a customer, reduces the payables balance in exactly the same way a cash payment would, even though no cash actually changes hands. The payables control account reconstruction must therefore include BOTH the $95,000 cash paid AND the $2,500 contra as reductions from the account: opening payables ($18,000) plus purchases (the unknown, balancing figure) minus cash paid ($95,000) minus the contra ($2,500) equals closing payables ($22,000), giving purchases of $101,500. Failing to include the contra would have produced an understated purchases figure of only $99,000, missing the $2,500 that was genuinely purchased on credit and genuinely settled, just not for cash.

12. A fire partially destroys a trader's warehouse. The trader's records (which survived the fire) show that sales are always made at a mark-up of 25% on cost. Sales for the period up to the fire were $60,000, opening inventory was $15,000, and purchases during the period were $42,000. After the fire, a physical count of the SURVIVING (undamaged) inventory shows it is worth $3,000 at net realisable value. Calculate the value of the inventory destroyed by the fire, for the purposes of an insurance claim.

A) The inventory destroyed cannot be estimated at all without a full physical stocktake having been performed immediately before the fire occurred
B) Cost of sales is first derived from the 25% mark-up on cost: since sales = cost of sales x 1.25, cost of sales = $60,000 / 1.25 = $48,000. Expected closing inventory (before considering the fire) is then: opening inventory $15,000 plus purchases $42,000 minus cost of sales $48,000 = $9,000. Since some inventory SURVIVED the fire (worth $3,000 at net realisable value), the value of inventory actually DESTROYED is the expected closing inventory LESS the surviving stock: $9,000 minus $3,000 = $6,000 -- this is the amount that should form the basis of the insurance claim, since the surviving stock is still available to the business and should not also be claimed for as if it had been lost
C) The inventory destroyed is $9,000, being the full expected closing inventory figure, with the $3,000 of surviving stock simply added on top as a separate additional claim
D) The inventory destroyed is simply the closing inventory implied by the gross margin method, calculated without any adjustment for the surviving stock: $15,000 + $42,000 - ($60,000 / 1.25) = $9,000

Correct: B difficult Incomplete records - gross margin method for inventory loss, adjusted for surviving stock

The gross margin (or gross profit percentage) method is a standard technique for estimating inventory losses in incomplete records situations, such as after a fire or theft, where a physical count of the LOST inventory is obviously impossible. The method first uses the known mark-up (or margin) percentage to derive cost of sales from sales revenue, then uses the standard inventory equation (opening inventory plus purchases minus cost of sales equals expected closing inventory) to estimate what closing inventory SHOULD have been, had none of it been destroyed. Critically, where SOME inventory survives the loss event (as here, with $3,000 of stock still intact after the fire), that surviving stock must be DEDUCTED from the expected closing inventory figure to arrive at the true value of what was actually LOST -- otherwise the insurance claim would effectively double-count the surviving stock, once implicitly within the expected closing inventory calculation, and again by ignoring that it was never actually destroyed. Here, this gives inventory destroyed of $9,000 minus $3,000 = $6,000, the figure that should properly form the basis of the insurance claim.

13. A sole trader does not keep a record of additions to non-current assets during the year but does know the following: the cost of non-current assets at the start of the year was CU340,000; one asset originally costing CU25,000 was sold during the year (with no other disposals); and the cost of non-current assets at the end of the year, per a physical count and review of remaining assets, was CU410,000. What is the cost of new non-current asset additions during the year, and how is this figure derived?

A) CU95,000, derived as the balancing figure in the non-current asset cost account: opening cost of CU340,000, less the CU25,000 original cost of the asset disposed of, plus additions (the unknown, balancing figure), equals the closing cost of CU410,000 -- rearranging, additions equal CU410,000 minus CU340,000 plus CU25,000, that is, CU95,000, since the cost of the disposed asset must first be removed from the account before the balancing additions figure can be correctly derived
B) CU25,000, being simply the cost of the asset that was disposed of during the year, with no other calculation required
C) CU70,000, calculated simply as the closing cost of CU410,000 less the opening cost of CU340,000, ignoring the disposal entirely, because disposals are assumed to have no effect on the cost figure
D) CU365,000, calculated by adding the disposal's cost to the opening balance without any reference at all to the closing balance

Correct: A difficult Incomplete records reconstruction technique - non-current asset cost account balancing figure

Where additions to non-current assets during the year are not directly recorded, they can be derived as the balancing figure in a reconstructed non-current asset cost account (a T-account approach commonly used in incomplete records questions). The account begins with the opening cost balance, is reduced by the original cost of any assets disposed of during the year (since disposals remove that asset's cost from the account, regardless of the proceeds received or profit or loss on disposal), and increased by additions (the item to be found), before being reconciled to the known closing cost balance: CU340,000 minus CU25,000 plus additions equals CU410,000, so additions equal CU95,000. This mirrors the same balancing-figure logic used elsewhere in incomplete records to reconstruct purchases, credit sales, wages or capital introduced from other known account balances.

14. A sole trader keeps no formal double-entry records but is able to establish, from an opening statement of affairs, that her capital at the start of the year was CU82,000, and, from a closing statement of affairs (net assets at the year end), that her capital at the end of the year was CU101,000. Her drawings for the year, evidenced by till withdrawals and personal expenses paid from the business bank account, totalled CU36,000, and her net profit for the year, calculated separately from a reconstructed trading and profit or loss account, was CU40,000. She cannot recall whether, or how much, she introduced as additional capital during the year. How is the amount of capital introduced during the year determined?

A) Capital introduced is simply the difference between closing and opening capital, CU19,000, with no adjustment for either net profit or drawings
B) Capital introduced is assumed to be zero, because incomplete records calculations never allow for the possibility of additional capital introduced during the year unless it is separately and directly recorded
C) Capital introduced is derived as the balancing figure in the capital account reconciliation: opening capital of CU82,000, plus capital introduced (the unknown, to be found), plus net profit of CU40,000, less drawings of CU36,000, equals closing capital of CU101,000 -- rearranging, capital introduced equals CU101,000 minus CU82,000 minus CU40,000 plus CU36,000, that is, CU15,000
D) Capital introduced cannot be calculated at all unless it is independently confirmed by a bank statement showing a matching deposit

Correct: C difficult Incomplete records reconstruction technique - capital account reconciliation, capital introduced as the balancing figure

The capital account reconciliation links opening capital, capital introduced, profit for the year, drawings and closing capital: opening capital plus capital introduced plus net profit less drawings equals closing capital. Where every other figure in this reconciliation is known except capital introduced, it can be derived as the balancing figure, by rearranging the reconciliation: CU101,000 (closing capital) minus CU82,000 (opening capital) minus CU40,000 (net profit) plus CU36,000 (drawings) equals CU15,000. This is the reverse of the more commonly seen calculation in which profit is the unknown figure derived from the same reconciliation (the net assets or accounting equation method); here, all figures except capital introduced are already known, so the same relationship is simply rearranged to solve for a different unknown.

15. A sole trader pays CU54,000 in cash for rent during the year, evidenced by bank payments. At the start of the year, CU4,500 of rent had been prepaid (paid in advance for a period falling after the start of the year); at the end of the year, CU6,000 of rent has been prepaid (paid in advance for a period falling after the year end). No rent was accrued (owing) at either the start or the end of the year. What is the correct rent expense to be charged to profit or loss for the year, on an accruals basis?

A) CU54,000, the full amount of cash paid during the year, since incomplete records figures are always based on cash paid with no adjustment for timing differences
B) CU52,500, calculated by taking the CU54,000 cash paid, adding back the CU4,500 opening prepayment (which relates to, and must be charged as an expense in, the current year, since it was paid in advance for a period that has now occurred) and deducting the CU6,000 closing prepayment (which relates to a future period and must be excluded from the current year's expense) -- CU54,000 plus CU4,500 less CU6,000 equals CU52,500
C) CU64,500, calculated by adding both the opening and closing prepayments to the cash paid, without recognising that a prepayment reduces, rather than increases, the amount to be recognised as an expense in a later period
D) CU49,500, calculated by deducting both the opening and closing prepayments from the cash paid

Correct: B difficult Incomplete records reconstruction technique - converting cash paid to an accruals-basis expense using opening and closing prepayments

To convert a cash-basis figure for an expense such as rent into the correct accruals-basis expense for the year, the cash paid during the year is adjusted for the movement in any related prepayment or accrual. An opening prepayment represents an amount paid in a previous period but relating to (and therefore now correctly recognised as an expense within) the current year, so it is added to the cash paid. A closing prepayment represents an amount paid during the current year but relating to a future period, so it must be deducted from the cash paid, since it has not yet been consumed and should instead appear as a prepayment (an asset) in the closing statement of financial position. Applying this: CU54,000 plus CU4,500 less CU6,000 equals CU52,500, the correct rent expense for the year on an accruals basis -- the same underlying technique used to reconstruct other expenses such as wages in incomplete records, but here applied to a prepayment-type expense rather than an accrual-type expense.

16. A retail business does not keep a record of its cash sales directly, but the owner provides the following information for the year: cash banked from till takings CU85,000; cash drawings taken directly from the till before banking CU12,000; till-related cash expenses (such as window cleaning) paid directly out of takings before banking CU3,000; and no other receipts or payments passed through the till. What were the business's total cash sales (till takings) for the year?

A) CU85,000, being simply the amount actually banked, with no adjustment for any amounts taken from the till before banking
B) CU97,000, calculated by adding only the drawings to the amount banked, while ignoring the till-related expenses paid directly out of takings entirely
C) CU82,000, calculated by deducting both the drawings and the expenses from the amount banked, on the assumption that drawings and expenses were funded from a source other than the till takings
D) CU100,000, calculated by reconstructing total till takings as the sum of everything that was done with the cash generated by sales before any of it was banked: CU85,000 banked, plus CU12,000 drawings taken directly from the till, plus CU3,000 till-related expenses paid directly out of takings, since all three uses of cash (banking it, the owner taking it, and paying expenses with it) together account for the full amount of cash sales actually taken in, none of which passed through a formal cash book entry for sales revenue directly

Correct: D difficult Incomplete records - reconstruction of cash sales from a summarised cash/till account

In an incomplete records scenario where cash sales are not directly recorded, total cash sales (till takings) for the period must be reconstructed by identifying everything the cash was actually used for before any of it reached the bank: amounts banked, amounts taken directly by the owner as drawings before banking, and amounts spent directly on business expenses out of the till before banking. Since none of these amounts overlap (each represents a distinct use of the same pool of cash sales revenue), total cash sales are reconstructed as the sum of all three: CU85,000 + CU12,000 + CU3,000 = CU100,000. Failing to add back the drawings and expenses taken directly from the till (as in option a) would understate the true level of cash sales actually generated by the business during the year.

17. A sole trader does not maintain a complete cash book, but the following summarised bank account information is available for the year: opening bank balance CU4,500 (debit/positive); total receipts banked during the year CU162,000; closing bank balance CU7,200 (debit/positive). What were the business's total payments made through the bank during the year?

A) CU166,500, being simply the sum of the opening balance and total receipts banked, with no adjustment at all for the closing balance
B) CU173,700, calculated by adding the closing balance to the sum of the opening balance and total receipts, rather than deducting it
C) CU159,300, calculated correctly by reconstructing total payments as the balancing figure in the summarised bank account: opening balance CU4,500, plus total receipts banked CU162,000, gives total funds available of CU166,500; since the closing balance is CU7,200, total payments during the year must be CU166,500 less CU7,200 = CU159,300, the amount that reconciles the opening balance and receipts to the known closing balance
D) CU159,300, calculated by simply deducting the closing balance from total receipts banked, ignoring the opening balance entirely

Correct: C difficult Incomplete records - reconstruction of total payments from a summarised bank (receipts and payments) account

Where a summarised bank account (receipts and payments account) is used to reconstruct missing information in an incomplete records scenario, total payments for the period can be derived as the balancing figure needed to reconcile the known opening balance and receipts to the known closing balance. Total funds available during the year equal the opening balance (CU4,500) plus total receipts banked (CU162,000), giving CU166,500; since the closing balance is CU7,200, the amount that must have been paid out during the year to arrive at that closing balance is CU166,500 less CU7,200, which is CU159,300. Note that both options a and b arrive at the same numeric answer here (CU159,300), but only option b correctly identifies and explains the balancing-figure reconstruction method (incorporating the opening balance), which is the technique required more generally whenever any one of the four figures in this relationship is the unknown to be found.

18. A retailer's records suggest revenue for the year of CU240,000 and cost of sales of CU192,000 (implying a gross profit margin of 20%), but the business has consistently achieved a 30% gross profit margin in every previous year, with no change in pricing policy, product mix or suppliers during the current year that would explain a genuine decline in margin. How might the incomplete records technique of comparing the implied margin to the business's normal historical margin be used here, and what does the shortfall most likely indicate?

A) The shortfall should simply be ignored and the CU192,000 recorded cost of sales figure should always be used without further investigation, since gross profit margins are assumed to fluctuate randomly from year to year with no analytical significance
B) Applying the normal 30% margin to the actual CU240,000 revenue, expected cost of sales should have been CU168,000 (CU240,000 x 70%), rather than the CU192,000 actually recorded -- the CU24,000 excess of actual over expected cost of sales suggests that inventory has been lost from the business (for example, through theft, misappropriation by staff, or unrecorded wastage) without a corresponding sale being recorded, since, absent such a loss, the usual 30% margin would be expected to have been maintained; this comparison of the actual implied margin against the normal historical margin is a technique used to estimate the value of unrecorded stock loss in an incomplete records or fraud investigation context
C) The shortfall automatically proves that the business's suppliers have overcharged for goods during the year, and no other explanation, including stock loss, is ever plausible
D) The shortfall in margin has no possible explanation of any kind and cannot be investigated further using the accounting records or the historical margin at all

Correct: B difficult Incomplete records - margin comparison technique for identifying an unexplained shortfall / unrecorded stock loss

Comparing an actual (implied) gross profit margin against a business's normal, historically consistent margin is a standard incomplete records and investigative technique for identifying an unexplained shortfall that may indicate unrecorded stock loss. Applying the normal 30% margin to actual revenue of CU240,000 gives an expected cost of sales of CU168,000; the fact that CU192,000 of cost of sales was actually incurred (CU24,000 more than expected) implies that goods costing CU24,000 have effectively been consumed by the business without a matching sale being recorded at the usual margin, most plausibly because they were lost, stolen, or otherwise unaccounted for, rather than genuinely sold. This technique does not prove theft with certainty, but it provides an estimate of a potential stock discrepancy that would then typically prompt further investigation.

19. A sole trader's records are incomplete, but the following is known for the year: opening capital CU60,000, capital introduced during the year CU5,000, profit for the year (already derived using the net assets/accounting equation method) CU28,000, and closing capital CU71,000. What were the proprietor's total drawings for the year?

A) CU22,000, calculated correctly as the balancing figure in the capital account reconciliation: opening capital CU60,000, plus capital introduced CU5,000, plus profit CU28,000, gives CU93,000 of capital that would exist before any drawings; since closing capital is CU71,000, drawings for the year must be CU93,000 less CU71,000 = CU22,000, the amount that reconciles the build-up of capital to the known closing balance
B) CU93,000, being simply the sum of opening capital, capital introduced and profit, with no adjustment at all for the known closing capital balance
C) CU11,000, calculated by deducting only the capital introduced and profit from the closing capital, while ignoring the opening capital balance entirely
D) CU31,000, calculated by adding the closing capital to profit for the year instead of using it to determine the balancing figure required

Correct: A difficult Incomplete records - reconstruction of drawings from a capital account reconciliation

A sole trader's capital account reconciliation follows the relationship: opening capital, plus capital introduced during the year, plus profit for the year (or less any loss), less drawings during the year, equals closing capital. Where drawings are the unknown figure to be found (as here, with opening capital, capital introduced, profit and closing capital all otherwise known or already derived), drawings can be calculated as the balancing figure: CU60,000 opening capital, plus CU5,000 capital introduced, plus CU28,000 profit, gives CU93,000 of capital that would exist before drawings are deducted; since the actual closing capital is CU71,000, drawings for the year must be CU93,000 less CU71,000, giving CU22,000, the amount that reconciles the build-up of capital during the year to the known closing balance.

20. A business's wages expense for the year, correctly determined from other information, is CU95,000. At the start of the year, CU2,000 of wages were accrued (owed but unpaid); at the year end, CU3,500 of wages were accrued. No cash book or complete wages payment records are available for the year. What was the total amount of cash actually paid in wages during the year?

A) CU90,500, calculated by deducting both the opening and closing accruals from the wages expense, the reverse of the correct treatment for the opening accrual
B) CU95,000, being simply the wages expense for the year, with no adjustment for either the opening or closing wages accrual
C) CU96,500, calculated by adding both the opening and closing accruals to the wages expense, rather than adding the opening accrual and deducting the closing accrual
D) CU93,500, calculated correctly as the balancing figure in a summarised wages account: the CU95,000 wages expense for the year, plus the CU2,000 opening accrual (representing wages relating to the prior year that were actually paid out in cash during the current year), less the CU3,500 closing accrual (representing wages expense for the current year not yet paid out in cash by the year end), gives cash wages actually paid during the year of CU95,000 + CU2,000 - CU3,500 = CU93,500

Correct: D difficult Incomplete records - reconstruction of cash wages paid from a summarised wages account

In an incomplete records scenario, cash wages actually paid during the year can be reconstructed using a summarised wages account, reconciling the wages EXPENSE for the year (an accruals-basis figure) to the actual CASH paid (which may differ due to opening and closing accrued wages balances). The opening accrual (CU2,000, relating to wages expense of the PRIOR year that had not yet been paid in cash at the start of the current year) would have been paid out in cash DURING the current year, so it is added to the current year's expense; the closing accrual (CU3,500, relating to wages expense of the CURRENT year not yet paid in cash by the year end) has NOT yet been paid, so it is deducted. This gives cash wages paid of CU95,000 + CU2,000 - CU3,500 = CU93,500, the amount that reconciles the accruals-basis wages expense to the actual cash outflow for the year.

21. A business's sales records for the year are entirely missing, but the following information is available: opening inventory CU8,000 at cost, purchases during the year CU122,000, closing inventory CU11,000 at cost, and the business's consistent mark-up on cost of 25%. Using this information, what is the best estimate of the business's sales revenue for the year?

A) CU122,000, being simply the purchases figure for the year, with no adjustment for the inventory movement or the mark-up percentage at all
B) CU119,000, being simply the cost of sales figure derived from the inventory movement, with no further adjustment applied for the mark-up percentage at all
C) CU148,750, calculated correctly in two stages: first, cost of sales is derived using the standard inventory movement relationship (opening inventory CU8,000, plus purchases CU122,000, less closing inventory CU11,000, giving cost of sales of CU119,000); then, applying the business's consistent 25% mark-up on cost, estimated sales are calculated by grossing up cost of sales by the mark-up percentage: CU119,000 x (1 + 0.25) = CU119,000 x 1.25 = CU148,750, which represents the best estimate of sales revenue for the period given the available purchases and inventory data and the known mark-up relationship
D) CU152,500, calculated by applying the 25% mark-up directly to the CU122,000 purchases figure for the year (CU122,000 x 1.25), rather than first adjusting for the movement in inventory to arrive at the true cost of sales figure the mark-up should actually be applied to

Correct: C difficult Incomplete records - estimation of sales from cost of sales and a known mark-up percentage, the reverse direction of the standard mark-up/margin application

Where sales records are entirely missing but purchases and inventory movement data are available, together with a known and consistent mark-up percentage, sales can be estimated using a two-stage reconstruction working in the opposite direction to the more commonly illustrated approach (which starts from known sales to derive cost of sales or inventory loss). First, cost of sales is derived from the standard inventory relationship: opening inventory, plus purchases, less closing inventory, giving CU8,000 + CU122,000 - CU11,000 = CU119,000. Second, because mark-up expresses gross profit as a percentage of cost (rather than of sales, which would instead be a margin), estimated sales are calculated by grossing up cost of sales by the mark-up percentage: CU119,000 x 1.25 = CU148,750, representing the best available estimate of sales revenue for the period in the absence of any direct sales records.

22. Patuakhali General Store, which maintains incomplete records, consistently sells goods at a mark-up of 40% on cost. During the year, purchases totalled CU9,600,000, opening inventory was CU1,400,000, and closing inventory was CU1,800,000. The owner also confirms that goods originally sold to customers for CU720,000 (at the normal selling price, i.e. before any return) were subsequently returned by dissatisfied customers during the year and are included within the CU1,800,000 closing inventory figure at their cost value. What is the correctly reconstructed net sales revenue for the year, and why must the sales returns be factored in separately from the mark-up calculation on cost of sales?

A) Net sales revenue is calculated by first deducting the CU720,000 of returns from a grossed-up gross sales figure of CU12,880,000, giving CU12,160,000, because the returned goods, despite being included in the closing inventory cost figure, still represent gross sales transactions that were subsequently reversed and must be separately removed to arrive at genuine net sales to customers, since the cost of sales calculation alone only tells us what inventory physically moved, not what customers ultimately kept and paid for
B) Net sales revenue is CU12,160,000: cost of sales of CU9,200,000 (CU1,400,000 + CU9,600,000 - CU1,800,000) grossed up by the 40% mark-up gives gross sales of CU12,880,000; however, since the returned goods (original selling price CU720,000) are already included within the CU1,800,000 closing inventory at cost, the cost of sales figure already correctly excludes those goods from what was genuinely sold and kept by customers, meaning the mark-up calculation on cost of sales already produces the NET sales figure after returns are removed -- so the CU720,000 must NOT be deducted a second time from the CU12,880,000, and net sales revenue remains CU12,880,000; the key point is recognising that the cost of sales figure, once the returned goods are correctly included in closing inventory, already reflects only the goods that remained sold to customers, so no separate returns deduction is needed and the figures in option C are in fact correct
C) Net sales revenue is CU12,880,000, calculated simply as cost of sales (CU9,200,000: CU1,400,000 + CU9,600,000 - CU1,800,000) grossed up by the 40% mark-up (CU9,200,000 x 1.40), with no separate adjustment needed for the returned goods since they are already reflected within the closing inventory figure used in the cost of sales calculation
D) Net sales revenue cannot be reconstructed at all using the mark-up method once any sales returns have occurred during the year, since the presence of any returns fundamentally invalidates the mark-up approach and an entirely different reconstruction technique must be used instead

Correct: A difficult Incomplete records reconstruction techniques -- mark-up method combined with sales returns adjustment

The mark-up method reconstructs sales by applying the known percentage mark-up to cost of sales (opening inventory plus purchases less closing inventory), which correctly identifies the cost of goods that physically left the business and were delivered to customers, grossed up to their normal selling price -- here, CU9,200,000 x 1.40 = CU12,880,000 gross sales. However, this figure represents gross sales transactions (goods delivered to customers at the point of sale), not net sales after subsequent returns. When a customer returns goods, two things happen: the goods physically come back into inventory (correctly captured in the CU1,800,000 closing inventory figure, which is why the cost of sales calculation already reflects that those goods are no longer treated as sold from a physical/cost perspective), but the sales revenue transaction itself, having already occurred and being grossed up within the CU12,880,000 figure via the mark-up calculation, must still be separately reversed to arrive at net sales revenue actually retained from customers. In other words, the closing inventory adjustment correctly handles the cost/physical movement side of the return, but the mark-up-grossed-up sales figure still embeds the original gross sale transaction and requires a direct CU720,000 deduction to reach net sales of CU12,160,000 (CU12,880,000 - CU720,000). Option C and option B both incorrectly assume that including the returned goods in closing inventory automatically and fully resolves the returns adjustment on the sales side, failing to recognise that the mark-up-derived gross sales figure and the physical inventory movement are two distinct effects of the same return that both need separate treatment. Option D incorrectly claims the mark-up method becomes entirely unusable in the presence of returns, when in fact it remains usable provided the returns are correctly identified and separately adjusted for.

23. Bandarban Furnishings Ltd's warehouse, holding inventory with an estimated pre-fire value of CU16,000,000 (calculated using the gross margin method from purchases, opening inventory, and sales up to the date of the fire), is destroyed by fire, with only CU2,000,000 of damaged stock salvaged and sold for scrap. The company's fire insurance policy is subject to what the policy calls an 'average clause,' and Bandarban discovers the total sum insured under the policy is only CU10,500,000, while the insurer's assessors determine the full insurable value of the inventory that should have been insured (its replacement/full value basis at the time of the fire) was actually CU14,000,000. How does the average clause affect the amount Bandarban can claim, and why does it apply here?

A) The average clause has no effect in this scenario, and Bandarban can claim the full CU14,000,000 net loss (CU16,000,000 estimated value less CU2,000,000 salvage), since insurance claims are always paid in full up to the actual loss suffered regardless of the sum insured stated in the policy
B) The average clause only applies to fire insurance claims exceeding the full insurable value of the property, and since the actual net loss here (CU14,000,000) does not exceed the full insurable value (also CU14,000,000), the average clause is not triggered at all and Bandarban may claim the full CU14,000,000
C) The average clause means Bandarban's claim is automatically capped at exactly the CU10,500,000 sum insured regardless of the actual loss amount or the full insurable value, with no proportionate calculation of any kind being relevant
D) The average clause operates as a proportionate reduction whenever the sum insured is less than the full insurable value of the property at risk (a case of underinsurance): the claim is scaled down in the same proportion that the sum insured bears to the full insurable value, i.e. claim = (sum insured / full insurable value) x actual loss; here, Bandarban is underinsured (CU10,500,000 sum insured against a CU14,000,000 full insurable value, a ratio of 75%), so the maximum recoverable claim on the net loss of CU14,000,000 (CU16,000,000 less CU2,000,000 salvage) is 75% x CU14,000,000 = CU10,500,000, meaning Bandarban effectively bears the uninsured 25% shortfall itself as an uninsured loss, despite the loss itself being less than the sum insured figure

Correct: D difficult Incomplete records and insurance claim principles -- gross margin (gross profit) method combined with the average clause for underinsurance

An 'average clause' in a property insurance policy is a standard mechanism insurers use to penalise underinsurance: where the sum insured under the policy is less than the full insurable value of the property at risk, the insurer will only pay out a proportion of any loss equal to the ratio of the sum insured to the full insurable value, rather than the full loss amount (up to the sum insured limit). This exists because premiums are calculated based on the declared sum insured, so an underinsured policyholder has paid a lower premium than the true risk warrants, and the average clause ensures the policyholder bears a proportionate share of any loss themselves, as if self-insuring for the underinsured portion. Here, Bandarban's sum insured (CU10,500,000) is less than the full insurable value assessed by the insurer (CU14,000,000), a classic underinsurance scenario with an insured-to-value ratio of 75% (10,500,000 / 14,000,000). Applying the average clause to the net loss of CU14,000,000 (CU16,000,000 estimated pre-fire inventory value less CU2,000,000 salvage proceeds) gives a maximum recoverable claim of 75% x CU14,000,000 = CU10,500,000 -- coincidentally equal to the sum insured in this case, but arrived at through the proportionate calculation, not simply because it happens to equal the policy limit. Bandarban must bear the remaining 25% (CU3,500,000) of the loss itself, uninsured, precisely because of the average clause's operation. This is a distinct exercise from the underlying gross margin method used merely to estimate the inventory value destroyed -- the average clause is a separate, subsequent adjustment applied to the insurance claim calculation itself. Option A wrongly ignores the average clause's effect entirely; option C wrongly treats the sum insured as an automatic flat cap unrelated to the proportionate calculation (which happens to coincide numerically here, but is conceptually different from what the average clause actually calculates); option B incorrectly describes when the average clause is triggered, which is based on the sum insured being less than full insurable value, not on the loss exceeding that value.

24. Lalmonirhat Transport Co, which maintains incomplete records, sells one of its delivery vans during the year for cash proceeds of CU850,000, recognising a profit on disposal of CU130,000 compared with the van's net book value immediately before the sale. Separately, the non-current asset cost (at cost) account shows an opening balance of CU18,000,000, additions during the year (already independently established from supplier invoices) of CU3,200,000, and the van's original cost, which the owner recalls was CU2,100,000, is removed from the account on disposal, leaving a closing cost balance of CU19,100,000. What was the accumulated depreciation on the disposed van at the date of sale, and how is this determined using the reconstruction technique?

A) The accumulated depreciation is simply the original cost of the van (CU2,100,000), since a profit on disposal by definition means the asset must have been fully depreciated to zero net book value before the sale occurred
B) The net book value of the van immediately before sale is first derived as the disposal proceeds minus the profit on disposal (CU850,000 - CU130,000 = CU720,000); since the van's original cost was CU2,100,000, the accumulated depreciation charged against it up to the date of disposal is then the difference between its original cost and this net book value: CU2,100,000 - CU720,000 = CU1,380,000
C) The accumulated depreciation is calculated as the disposal proceeds plus the profit on disposal (CU850,000 + CU130,000 = CU980,000) subtracted from the original cost, giving CU2,100,000 - CU980,000 = CU1,120,000, since a profit on disposal must always be added to, not subtracted from, the proceeds to determine net book value
D) The accumulated depreciation on the disposed van cannot be determined at all from the information given, since incomplete records reconstruction techniques are only capable of deriving cost account balances, never accumulated depreciation figures for a specific disposed asset

Correct: B complex Incomplete records reconstruction techniques -- non-current asset disposal account working

This is a standard incomplete records reconstruction working back through the mechanics of a disposal. The relationship between disposal proceeds, net book value (NBV) at disposal, and profit or loss on disposal is: profit on disposal = disposal proceeds - NBV at disposal (equivalently, a loss on disposal would be NBV at disposal - disposal proceeds where NBV exceeds proceeds). Rearranging for NBV: NBV at disposal = disposal proceeds - profit on disposal = CU850,000 - CU130,000 = CU720,000. Since NBV at disposal equals original cost less accumulated depreciation to the date of disposal, accumulated depreciation on the van = original cost - NBV at disposal = CU2,100,000 - CU720,000 = CU1,380,000. This two-step working (first deriving NBV from the disposal proceeds and profit/loss, then deriving accumulated depreciation from NBV and original cost) is a classic incomplete records technique for reconstructing figures that were never directly recorded in formal double-entry books. Option C incorrectly adds the profit to proceeds rather than subtracting it, reversing the correct relationship (a profit on disposal means proceeds exceeded NBV, so NBV is proceeds minus the profit, not proceeds plus the profit); option A incorrectly and baselessly assumes a profit on disposal always implies a fully depreciated asset, which is not a general rule -- a profit on disposal simply means proceeds exceeded whatever the NBV happened to be at that point, which could be any value greater than zero.

25. A sole trader does not keep a purchases day book. From the bank account and supplier statements, the following is established for the year: payables at the start of the year were 34,000, payables at the end of the year were 41,000, cash paid to suppliers during the year was 218,000, and discounts received from suppliers for prompt payment totalled 3,500. There were no purchase returns and no contra settlements against the receivables ledger during the year. What were total credit purchases for the year?

A) 218,000 plus 3,500 minus 41,000 plus 34,000 equals 214,500
B) 218,000 plus 3,500 plus 41,000 minus 34,000 equals 228,500
C) 218,000 plus 41,000 minus 34,000 equals 225,000, with discounts received ignored entirely
D) 218,000 minus 3,500 plus 41,000 minus 34,000 equals 221,500

Correct: B difficult Control account reconstruction technique (no single IFRS applies)

Reconstructing a payables control account: opening payables plus credit purchases minus cash paid minus discounts received equals closing payables. Rearranged for purchases, this gives cash paid plus discounts received plus closing payables minus opening payables, since discounts received (like cash paid) reduce the payables balance and must therefore be added back to arrive at gross purchases. That is 218,000 plus 3,500 plus 41,000 minus 34,000, which equals 228,500. Option D incorrectly deducts discounts received instead of adding them back, understating purchases. Option C ignores discounts received altogether, also understating purchases, since discounts received did reduce the payables balance without being a purchase reduction.