2023 Cambridge IAS-Level Accounting (9706) Practice Paper with Answers

1. Corrected Sales: The sale or return goods must be removed from sales since no sale has taken place. Corrected Sales = \($180,000 - $6,000 = $174,000\).
2. Corrected Closing Inventory: The goods with the customer must be included in the closing inventory at cost. Corrected Closing Inventory = \($28,000 + $4,000 = $32,000\).
3. Corrected Cost of Goods Sold (COGS): Opening Inventory (\($24,000\)) + Purchases (\($110,000\)) - Corrected Closing Inventory (\($32,000\)) = \($102,000\).
4. Corrected Gross Profit: Corrected Sales (\($174,000\)) - COGS (\($102,000\)) = \($72,000\).

1 mark for the correct gross profit calculation: Award 1 mark for Option B. Reject all other options.

1. Update the cash book balance:
Draft Cash Book balance = \(-$2,150\) (credit balance/overdraft)
Less: Bank charges = \(-$95\)
Adjusted Cash Book balance = \(-$2,245\) (overdrawn)

2. Reconcile to find the Bank Statement balance (B):
Adjusted Cash Book balance = B + Uncredited deposits - Unpresented cheques + Correction of bank error
\(-$2,245 = B + $650 - $420 + $150\)
\(-$2,245 = B + $380\)
\(B = -$2,625\) (i.e., \($2,625\) overdrawn)

1 mark for the correct bank statement balance: Award 1 mark for Option C. Reject all other options.

1. Determine contribution per limiting factor (labour hour):
- Product X: \($12 / 3\text{ hours} = $4.00\) per hour
- Product Y: \($15 / 5\text{ hours} = $3.00\) per hour

2. Rank products: Product X is 1st, Product Y is 2nd.

3. Allocate hours to demand:
- Product X: Produce maximum demand of \(2,000\) units. Hours required = \(2,000 \times 3 = 6,000\) hours.
- Remaining hours = \(9,000 - 6,000 = 3,000\) hours.
- Product Y: Units produced with remaining hours = \(3,000 / 5 = 600\) units.

4. Calculate maximum contribution:
- From Product X: \(2,000\text{ units} \times $12 = $24,000\)
- From Product Y: \(600\text{ units} \times $15 = $9,000\)
Total contribution = \($24,000 + $9,000 = $33,000\).

1 mark for the correct maximum contribution: Award 1 mark for Option C. Reject all other options.

1. Rights Issue on 1 March:
- Existing shares = \($400,000 / $0.50 = 800,000\) shares.
- Rights shares issued = \(800,000 / 4 = 200,000\) shares.
- Nominal value increase = \(200,000 \times $0.50 = $100,000\).
- Share Premium increase = \(200,000 \times ($0.80 - $0.50) = $60,000\).
- New Share Premium balance = \($120,000 + $60,000 = $180,000\).
- Total shares after rights issue = \(1,000,000\) shares.

2. Bonus Issue on 1 September:
- Bonus shares issued = \(1,000,000 / 5 = 200,000\) shares.
- Nominal value of bonus shares = \(200,000 \times $0.50 = $100,000\).
- Share Premium utilized = \($100,000\) (sufficient balance available).
- New Share Premium balance = \($180,000 - $100,000 = $80,000\).
- Retained Earnings balance is unaffected because the bonus issue was fully funded from Share Premium. Retained Earnings = \($250,000\).

1 mark for the correct balances: Award 1 mark for Option A. Reject all other options.

1. Predetermined Overhead Absorption Rate (OAR) = Budgeted Overheads / Budgeted Hours = \($360,000 / 45,000 = $8.00\) per hour.
2. Overheads Absorbed = Actual Hours \(\times\) OAR = \(42,000 \times $8.00 = $336,000\).
3. Compare Absorbed with Actual Overheads: \($336,000\) absorbed vs \($345,000\) actual. Since absorbed is less than actual, it is under-absorbed by \($345,000 - $336,000 = $9,000\).

1 mark for the correct overhead absorption: Award 1 mark for Option A. Reject all other options.

1. Depreciation up to revaluation (31 Dec 2022):
- 2021 Depreciation = \($500,000 \times 2\% = $10,000\)
- 2022 Depreciation = \($10,000\)
- Carrying Value on 31 Dec 2022 = \($500,000 - $20,000 = $480,000\).

2. Revaluation on 31 Dec 2022:
- Revalued Carrying Value = \($600,000\) (Revaluation surplus of \($120,000\) goes to revaluation reserve).

3. Depreciation for 2023 up to disposal (6 months):
- Depreciation = \($600,000 \times 2\% \times 6/12 = $6,000\).
- Carrying Value at 30 June 2023 = \($600,000 - $6,000 = $594,000\).

4. Profit on disposal:
- Profit = Sale proceeds (\($610,000\)) - Carrying Value (\($594,000\)) = \($16,000\).

1 mark for the correct profit on disposal calculation: Award 1 mark for Option B. Reject all other options.

1. Calculate Operating Profit (Profit before interest and tax):
- Gross Profit = \($800,000 \times 30\% = $240,000\)
- Operating Profit = Gross Profit - Operating expenses = \($240,000 - $150,000 = $90,000\)

2. Calculate Capital Employed:
- Capital Employed = Total Assets - Current Liabilities = \(($350,000 + $180,000) - $80,000 = $450,000\)

3. Calculate ROCE:
- ROCE = (Operating Profit / Capital Employed) \(\times\) 100% = \(($90,000 / $450,000) \times 100\% = 20.0\%\).

1 mark for the correct ROCE calculation: Award 1 mark for Option B. Reject all other options.

1. Correct Trade Receivables balance:
- Draft Trade Receivables = \($100,000\)
- Less: Irrecoverable debt write-off = \(-$2,000\)
- Add: Correction of recovery error (the recovery of a written-off debt should be credited to Bad Debts Recovered/Income Statement, not to Trade Receivables; thus, the incorrect credit to Trade Receivables must be reversed) = \(+$1,000\)
- Corrected Trade Receivables = \($100,000 - $2,000 + $1,000 = $99,000\).

2. Calculate the Provision for Doubtful Debts:
- Provision = \($99,000 \times 5\% = $4,950\).

3. Calculate Net Trade Receivables:
- Net Receivables = Corrected Receivables (\($99,000\)) - Provision (\($4,950\)) = \($94,050\).

1 mark for the correct net trade receivables calculation: Award 1 mark for Option C. Reject all other options.

1. Calculate Cost of Goods Available for Sale:
\(\text{Opening Inventory} + \text{Purchases} = \$24,000 + \$150,000 = \$174,000\)

2. Calculate Cost of Sales based on normal sales and the 25% mark-up:
\(\text{Cost of Sales} = \frac{\text{Sales}}{1 + \text{Mark-up}} = \frac{\$210,000}{1.25} = \$168,000\)

3. Calculate Expected Closing Inventory:
\(\text{Expected Closing Inventory} = \text{Cost of Goods Available for Sale} - \text{Cost of Sales} = \$174,000 - \$168,000 = \$6,000\)

4. Calculate Destroyed Inventory:
\(\text{Destroyed Inventory} = \text{Expected Closing Inventory} - \text{Actual Undamaged Closing Inventory} = \$6,000 - \$4,000 = \$2,000\).

1 mark for the correct calculation of \(\$2,000\).
Award 0 marks for incorrect calculations (e.g., using margin instead of mark-up, or omitting undamaged inventory).

1. Calculate the corrected bank balance (equal to the corrected cash book balance):
\(\text{Bank Statement Balance} = -\$4,500\) (overdrawn)
\(\text{Corrected Bank Balance} = -\$4,500 - \$1,200 \text{ (unpresented cheques)} + \$2,400 \text{ (uncredited deposits)} = -\$3,300\) (overdrawn).

2. Reconstruct the unadjusted cash book balance:
\(\text{Unadjusted Cash Book Balance} - \$150 \text{ (bank charges)} - \$400 \text{ (dishonoured cheque)} = -\$3,300\)
\(\text{Unadjusted Cash Book Balance} = -\$3,300 + \$150 + \$400 = -\$2,750\) (an overdraft of \(\$2,750\)).

1 mark for the correct answer: \(\$2,750\) overdraft. Award 0 marks for wrong application of unpresented/uncredited transactions or sign errors.

1. Calculate new direct labour cost per unit:
\(\$10 \times 1.20 = \$12\)

2. Calculate new variable cost per unit:
\(\text{Variable Cost} = \$12 \text{ (materials)} + \$12 \text{ (labour)} + \$4 \text{ (overheads)} = \$28\)

3. Calculate new contribution per unit:
\(\text{Contribution} = \$40 - \$28 = \$12\)

4. Calculate new fixed costs:
\(\text{New Fixed Costs} = \$90,000 + \$18,000 = \$108,000\)

5. Calculate required unit sales to achieve target profit:
\(\text{Required Units} = \frac{\text{Fixed Costs} + \text{Target Profit}}{\text{Contribution per Unit}} = \frac{\$108,000 + \$24,000}{\$12} = 11,000 \text{ units}\).

1 mark for the correct answer of 11,000 units.
Reject: 9,000 (break-even units only), 9,500 (ignoring fixed cost increase).

1. 1 January status:
* Share Capital = \(\$200,000\) (representing \(400,000\) shares of \(\$0.50\) each).
* Share Premium = \(\$60,000\).

2. 1 March (1-for-4 bonus issue):
* Bonus shares to issue = \(400,000 / 4 = 100,000\) shares.
* Nominal value of bonus shares = \(100,000 \times \$0.50 = \$50,000\).
* This is funded from the share premium account. New Share Premium balance = \(\$60,000 - \$50,000 = \$10,000\).
* New total shares in issue = \(500,000\) shares.

3. 1 July (1-for-5 rights issue):
* Rights shares to issue = \(500,000 / 5 = 100,000\) shares.
* Premium per share = \(\$0.80 - \$0.50 = \$0.30\).
* Total premium received = \(100,000 \times \$0.30 = \$30,000\).

4. Final Share Premium balance:
* \(\$10,000 \text{ (balance after bonus)} + \$30,000 \text{ (rights premium)} = \$40,000\).

1 mark for the correct calculation: \(\$40,000\).
Award 0 marks for \(\$90,000\) (failing to deduct the bonus issue), or \(\$10,000\) (failing to add the rights issue premium).

1. Calculate the Predetermined Overhead Absorption Rate (OAR):
\(\text{OAR} = \frac{\text{Budgeted Overheads}}{\text{Budgeted Direct Labour Hours}} = \frac{\$240,000}{40,000 \text{ hours}} = \$6.00 \text{ per hour}\)

2. Calculate Overheads Absorbed:
\(\text{Overheads Absorbed} = \text{Actual Hours Worked} \times \text{OAR} = 41,500 \times \$6.00 = \$249,000\)

3. Calculate Over- or Under-absorption:
\(\text{Under-absorbed Overheads} = \text{Actual Overheads} - \text{Absorbed Overheads} = \$258,000 - \$249,000 = \$9,000\).

Because actual overheads incurred (\(\$258,000\)) exceeded the absorbed overheads (\(\$249,000\)), the overheads were under-absorbed by \(\$9,000\).

1 mark for the correct option \(\$9,000\) under-absorbed.
Award 0 marks if "over-absorbed" is selected or if the simple variance of \(\$18,000\) (budget vs actual) is chosen.

1. Year 1 Depreciation:
\(\text{Depreciation} = 20\% \times \$80,000 = \$16,000\)
\(\text{Net Book Value (NBV) at 31 Dec Year 1} = \$80,000 - \$16,000 = \$64,000\)

2. Year 2 Depreciation:
\(\text{Depreciation} = 20\% \times \$64,000 = \$12,800\)
\(\text{NBV at 31 Dec Year 2} = \$64,000 - \$12,800 = \$51,200\)

3. Year 3 Disposal:
No depreciation is charged in the year of disposal (Year 3).
Therefore, the carrying value (NBV) at the time of sale is \(\$51,200\).

4. Calculation of Profit/Loss:
\(\text{Loss on Disposal} = \text{NBV} - \text{Sale Proceeds} = \$51,200 - \$48,000 = \$3,200 \text{ Loss}\).

1 mark for correct calculation: \(\$3,200\) loss.
Award 0 marks for other answers (e.g., if depreciation was calculated for Year 3, or straight line method was incorrectly used).

Let's use arbitrary figures to model this scenario:
Assume Current Assets (CA) = \(\$150\), and Current Liabilities (CL) = \(\$100\).
Liquid Assets (LA) = \(\$80\). (Inventory = \(\$70\)).

1. Assume inventory of \(\$20\) is purchased on credit:
* New CA = \(\$150 + \$20 = \$170\)
* New CL = \(\$100 + \$20 = \$120\)
* New Current Ratio = \(170 / 120 \approx 1.42:1\) (decreased from 1.5:1)

2. Effect on liquid ratio:
* LA remains unchanged at \(\$80\) because inventory is not a liquid asset.
* New CL = \(\$120\)
* New Liquid Ratio = \(80 / 120 \approx 0.67:1\) (decreased from 0.8:1)

Therefore, both ratios decrease.

1 mark for correctly identifying that both ratios decrease.

1. Calculate the residual profit to be shared:
\(\text{Profit} = \$85,000\)
\(\text{Add: Interest on drawings (IOD)} = \$800 \text{ (X)} + \$500 \text{ (Y)} = \$1,300\)
\(\text{Less: Interest on capital (IOC)} = -\$4,000 \text{ (X)} - \$3,000 \text{ (Y)} = -\$7,000\)
\(\text{Less: Y's salary} = -\$12,000\)
\(\text{Residual Profit} = \$85,000 + \$1,300 - \$7,000 - \$12,000 = \$67,300\)

2. Calculate Y's share of residual profit:
\(\text{Y's Share} = \frac{2}{5} \times \$67,300 = \$26,920\)

3. Reconstruct Y's current account balance at 31 December:
* Opening balance (Debit) = \(-\$1,200\)
* Add: Interest on capital = \(+\$3,000\)
* Add: Partner salary = \(+\$12,000\)
* Add: Share of profit = \(+\$26,920\)
* Less: Interest on drawings = \(-\$500\)
* Less: Drawings = \(-\$28,000\)

\(\text{Closing balance} = -\$1,200 + \$3,000 + \$12,000 + \$26,920 - \$500 - \$28,000 = \$12,220 \text{ (Credit)}\).

1 mark for correct calculation of \(\$12,220\) Credit.
Award 0 marks if the debit/credit nature is incorrect or if opening debit balance was treated as credit (which yields \(\$14,620\)).

Step 1: Calculate the corrected closing inventory.
- The damaged goods must be valued at the lower of cost ($4,000) and net realisable value (NRV).
- \( \text{NRV} = \text{Expected selling price} - \text{Repair costs} = \$1,500 - \$500 = \$1,000 \).
- Write-down of inventory = \( \$4,000 - \$1,000 = \$3,000 \).
- Corrected closing inventory = \( \$22,000 - \$3,000 = \$19,000 \).

Step 2: Adjust purchases for drawings of goods.
- Corrected purchases = \( \$142,000 - \$3,000 = \$139,000 \).

Step 3: Calculate cost of sales.
- \( \text{Cost of sales} = \text{Opening inventory} + \text{Corrected purchases} - \text{Corrected closing inventory} \)
- \( \text{Cost of sales} = \$18,000 + \$139,000 - \$19,000 = \$138,000 \).

Step 4: Calculate revenue using the 25% markup.
- \( \text{Revenue} = \text{Cost of sales} \times 1.25 = \$138,000 \times 1.25 = \$172,500 \).

1 mark for the correct option A.
Award 1 mark for correct calculation of revenue of $172,500.

Step 1: Update the cash book balance.
- Initial cash book balance (debit/positive) = \( \$8,450 \)
- Less: Bank charges = \( -\$210 \)
- Less: Dishonoured cheque = \( -\$1,140 \)
- Add: Direct credit transfer = \( +\$450 \)
- Updated Cash Book Balance = \( \$8,450 - \$210 - \$1,140 + \$450 = \$7,550 \) (debit balance).

Step 2: Reconcile to the bank statement.
- Let \( X \) be the bank statement balance.
- \( X + \text{Lodgements} - \text{Unpresented cheques} = \text{Updated Cash Book Balance} \)
- \( X + \$2,480 - \$1,850 = \$7,550 \)
- \( X + \$630 = \$7,550 \)
- \( X = \$6,920 \).
- Since the updated cash book is a positive (debit) balance, the corresponding bank statement balance must be a positive (credit) balance of \( \$6,920 \).

1 mark for the correct option A.
Award 1 mark for calculating the correct balance of $6,920 credit.

Step 1: Calculate the quantity of the limiting factor (direct materials in kg) used per unit:
- Product X: \( \$20 / \$10\text{ per kg} = 2\text{ kg} \)
- Product Y: \( \$10 / \$10\text{ per kg} = 1\text{ kg} \)
- Product Z: \( \$30 / \$10\text{ per kg} = 3\text{ kg} \)

Step 2: Calculate the contribution per unit for each product:
- Product X: \( \$50 - (\$20 + \$15 + \$5) = \$10 \)
- Product Y: \( \$60 - (\$10 + \$30 + \$4) = \$16 \)
- Product Z: \( \$70 - (\$30 + \$15 + \$7) = \$18 \)

Step 3: Calculate the contribution per unit of limiting factor (per kg of material):
- Product X: \( \$10 / 2\text{ kg} = \$5.00\text{ per kg} \)
- Product Y: \( \$16 / 1\text{ kg} = \$16.00\text{ per kg} \)
- Product Z: \( \$18 / 3\text{ kg} = \$6.00\text{ per kg} \)

Step 4: Rank products based on contribution per kg from highest to lowest:
- 1st: Product Y ($16.00/kg)
- 2nd: Product Z ($6.00/kg)
- 3rd: Product X ($5.00/kg)

Therefore, the order of priority is Y, Z, X.

1 mark for the correct option A.
Award 1 mark for correct identification of limiting factor ranking (Y, Z, X).

Step 1: Calculate the rights issue details.
- Initial shares in issue = \( \$400,000 / \$0.50 = 800,000 \text{ shares} \).
- Rights issue shares = \( 800,000 / 4 = 200,000 \text{ shares} \).
- Premium per rights share = \( \$0.80 - \$0.50 = \$0.30 \).
- Total share premium added = \( 200,000 \times \$0.30 = \$60,000 \).
- Share premium balance after rights issue = \( \$120,000 + \$60,000 = \$180,000 \).
- Total shares in issue after rights issue = \( 800,000 + 200,000 = 1,000,000 \text{ shares} \).

Step 2: Calculate the bonus issue details.
- Bonus issue shares = \( 1,000,000 / 5 = 200,000 \text{ shares} \).
- Nominal value of bonus shares (funded from share premium) = \( 200,000 \times \$0.50 = \$100,000 \).
- Share premium balance after bonus issue = \( \$180,000 - \$100,000 = \$80,000 \).

1 mark for the correct option A.
Award 1 mark for correct calculation of final share premium balance.

Step 1: Calculate the predetermined overhead absorption rate (OAR).
- \( \text{OAR} = \frac{\text{Budgeted overheads}}{\text{Budgeted labour hours}} = \frac{\$150,000}{30,000} = \$5.00 \text{ per direct labour hour} \).

Step 2: Calculate the overheads absorbed during the period.
- \( \text{Absorbed overheads} = \text{Actual labour hours worked} \times \text{OAR} \)
- \( \text{Absorbed overheads} = 31,500 \times \$5.00 = \$157,500 \).

Step 3: Calculate over or under-absorption.
- \( \text{Over/under-absorbed overheads} = \text{Absorbed overheads} - \text{Actual overheads incurred} \)
- \( \text{Over/under-absorbed overheads} = \$157,500 - \$162,000 = -\$4,500 \).
- Since absorbed overheads are less than actual overheads incurred, overheads are under-absorbed by \( \$4,500 \).

1 mark for the correct option A.
Award 1 mark for calculating the under-absorption of $4,500.

Step 1: Calculate the depreciation and carrying amount (Net Book Value - NBV) of the machine.
- Year ended 31 December 2020: Depreciation = \( \$80,000 \times 20\% = \$16,000 \).
- Carrying amount at 31 December 2020 = \( \$80,000 - \$16,000 = \$64,000 \).
- Year ended 31 December 2021: Depreciation = \( \$64,000 \times 20\% = \$12,800 \).
- Carrying amount at 31 December 2021 = \( \$64,000 - \$12,800 = \$51,200 \).
- Year 2022 (Year of disposal): No depreciation is charged because the company policy is to charge none in the year of disposal.
- Carrying amount at disposal = \( \$51,200 \).

Step 2: Calculate the profit or loss on disposal.
- \( \text{Disposal proceeds (part-exchange allowance)} = \$42,000 \).
- \( \text{Profit or Loss} = \text{Disposal proceeds} - \text{Carrying amount} \)
- \( \text{Profit or Loss} = \$42,000 - \$51,200 = -\$9,200 \) (a loss of \( \$9,200 \)).

1 mark for the correct option A.
Award 1 mark for correct calculation of $9,200 loss.

Step 1: Analyze Error 1.
- Correct entry: Debit Motor Vehicles, Credit Cash.
- Incorrect entry: Debit Purchases, Credit Cash.
- This is an error of principle and does not affect the agreement of the trial balance. No suspense entry is needed.

Step 2: Analyze Error 2.
- Cash was credited with \( \$350 \), but the supplier's account was debited with \( \$530 \).
- This means debits exceed credits by \( \$530 - \$350 = \$180 \) in the trial balance.
- To balance the trial balance originally, the suspense account must have been credited with \( \$180 \).

Step 3: Analyze Error 3.
- Cash was debited with \( \$800 \), but the rent receivable account was debited with \( \$800 \).
- Both entries are debits, so there are total debits of \( \$1,600 \) and zero credits.
- This means debits exceed credits by \( \$1,600 \) in the trial balance.
- To balance the trial balance originally, the suspense account must have been credited with \( \$1,600 \).

Step 4: Sum the suspense account requirements.
- \( \text{Suspense account balance} = \$180 \text{ (credit)} + \$1,600 \text{ (credit)} = \$1,780 \text{ (credit)} \).

1 mark for the correct option C.
Award 1 mark for identifying that the suspense account balance was $1,780 credit.

Step 1: Calculate the current average inventory.
- \( \text{Current average inventory} = \frac{\text{Opening inventory} + \text{Closing inventory}}{2} = \frac{\$38,000 + \s42,000}{2} = \$40,000 \).

Step 2: Calculate the expected new average inventory.
- \( \text{New average inventory} = \$40,000 \times (1 - 0.25) = \$30,000 \).

Step 3: Calculate the new inventory turnover ratio.
- \( \text{New inventory turnover ratio} = \frac{\text{Cost of sales}}{\text{New average inventory}} = \frac{\$480,000}{\$30,000} = 16 \text{ times} \).

1 mark for the correct option D.
Award 1 mark for calculating the new ratio of 16 times.

1. Calculate the Cost of Sales using the mark-up percentage:
\(\text{Cost of Sales} = \frac{\text{Sales}}{1 + \text{Mark-up}} = \frac{\$200,000}{1.25} = \$160,000\)

2. Calculate the cost of goods available for sale:
\(\text{Cost of Goods Available for Sale} = \text{Opening Inventory} + \text{Purchases} = \$18,000 + \$162,000 = \$180,000\)

3. Calculate the expected closing inventory if no fire had occurred:
\(\text{Expected Closing Inventory} = \text{Cost of Goods Available for Sale} - \text{Cost of Sales} = \$180,000 - \$160,000 = \$20,000\)

4. Calculate the cost of the destroyed inventory:
\(\text{Destroyed Inventory} = \text{Expected Closing Inventory} - \text{Undamaged Inventory} = \$20,000 - \$6,500 = \$13,500\)

1 mark for the correct option B. 0 marks for incorrect options.

To find the correct balance, we adjust the draft balance for the errors affecting the sales ledger control account:

- Draft Balance: \(\$45,200\) (Debit)
- Less Bad Debt (Error 1): \(-\$350\) (Credit)
- Add Understated Credit Sale (Error 2): \(+\$540\) (Debit, as \(\$820 - \$280 = \$540\))
- Less Cash Received (Error 3): \(-\$400\) (Credit)
- Less Omitted Discounts Allowed (Error 4): \(-\$120\) (Credit)

\(\text{Correct Balance} = \$45,200 - \$350 + \$540 - \$400 - \$120 = \$44,870\)

1 mark for the correct option B. 0 marks for incorrect options.

1. Calculate current sales revenue:
\(\text{Sales Revenue} = 12,000 \text{ units} \times \$50 = \$600,000\)

2. Calculate the current total contribution:
\(\text{Total Contribution} = \$600,000 \times 40\% = \$240,000\)

3. Calculate break-even sales revenue:
Since the margin of safety is \(20\%\), break-even sales are \(80\%\) of current sales.
\(\text{Break-even Sales Revenue} = \$600,000 \times (100\% - 20\%) = \$480,000\)

4. Calculate total fixed costs (which equal contribution at break-even point):
\(\text{Fixed Costs} = \text{Break-even Sales Revenue} \times \text{C/S ratio} = \$480,000 \times 40\% = \$192,000\)

Alternatively, calculate target profit and fixed costs directly:
\(\text{Profit} = \text{Total Contribution} \times \text{Margin of Safety \%} = \$240,000 \times 20\% = \$48,000\)
\(\text{Fixed Costs} = \text{Total Contribution} - \text{Profit} = \$240,000 - \$48,000 = \$192,000\)

1 mark for the correct option C. 0 marks for incorrect options.

1. Determine the original number of shares:
\(\text{Original Shares} = \frac{\$200,000}{\$0.50} = 400,000 \text{ shares}\)

2. Calculate the rights issue details (1 for 4):
\(\text{Rights Shares} = \frac{400,000}{4} = 100,000 \text{ shares}\)
\(\text{Premium per Share} = \$1.20 - \$0.50 = \$0.70\)
\(\text{Total Premium Added} = 100,000 \times \$0.70 = \$70,000\)
\(\text{Share Premium Balance after Rights Issue} = \$90,000 + \$70,000 = \$160,000\)
\(\text{Total Shares in Issue after Rights Issue} = 400,000 + 100,000 = 500,000 \text{ shares}\)

3. Calculate the bonus issue details (1 for 5 on the new share capital):
\(\text{Bonus Shares} = \frac{500,000}{5} = 100,000 \text{ shares}\)
\(\text{Value of Bonus Shares (at nominal value of \$0.50)} = 100,000 \times \$0.50 = \$50,000\)

4. Deduct the bonus issue from the share premium account:
\(\text{New Share Premium Balance} = \$160,000 - \$50,000 = \$110,000\)

1 mark for the correct option B. 0 marks for incorrect options.

1. Calculate the predetermined overhead absorption rate (OAR):
\(\text{OAR} = \frac{\text{Budgeted Overheads}}{\text{Budgeted Direct Labour Hours}} = \frac{\$360,000}{45,000 \text{ hours}} = \$8.00 \text{ per direct labour hour}\)

2. Determine the absorbed overheads:
\(\text{Under-absorbed Overheads} = \text{Actual Overheads} - \text{Absorbed Overheads}\)
\(\$15,000 = \$385,000 - \text{Absorbed Overheads}\)
\(\text{Absorbed Overheads} = \$385,000 - \$15,000 = \$370,000\)

3. Calculate the actual direct labour hours worked:
\(\text{Actual Direct Labour Hours} = \frac{\text{Absorbed Overheads}}{\text{OAR}} = \frac{\$370,000}{\$8.00} = 46,250 \text{ hours}\)

1 mark for the correct option B. 0 marks for incorrect options.

1. Calculate depreciation for the year ended 31 December 2021:
\(\text{Depreciation 2021} = \$80,000 \times 30\% = \$24,000\)
\(\text{Carrying Value on 31 December 2021} = \$80,000 - \$24,000 = \$56,000\)

2. Calculate depreciation for the year ended 31 December 2022:
\(\text{Depreciation 2022} = \$56,000 \times 30\% = \$16,800\)
\(\text{Carrying Value on 31 December 2022} = \$56,000 - \$16,800 = \$39,200\)

3. Calculate depreciation for the year ended 31 December 2023 under the new method:
The carrying value on 1 January 2023 is \(\$39,200\). This is allocated straight-line over the remaining \(5\) years:
\(\text{Depreciation 2023} = \frac{\$39,200}{5} = \$7,840\)

1 mark for the correct option A. 0 marks for incorrect options.

**Workings**:

1. **Closing Inventory**:
Cost = $28,600
Damaged inventory write-down:
- Net Realisable Value (NRV) = Selling Price ($1,100) - Repair Costs ($200) = $900
- Original Cost = $1,800
- Write-down = $1,800 - $900 = $900
- Adjusted Closing Inventory = $28,600 - $900 = $27,700

2. **Adjusted Purchases and Drawings**:
- Adjusted Purchases = $195,000 - $1,500 (goods taken by owner) = $193,500
- Adjusted Drawings = $18,200 + $1,500 = $19,700

3. **Receivables and Allowance for Doubtful Debts**:
- Adjusted Trade Receivables = $38,000 - $1,400 (irrecoverable debt written off) = $36,600
- Required Allowance = 5% of $36,600 = $1,830
- Increase in Allowance = New Allowance ($1,830) - Old Allowance ($1,200) = $630 (expense)

4. **Rent and Rates Prepaid**:
- Rates paid up to 31 March 2024.
- Prepayment period = 1 January 2024 to 31 March 2024 (3 months)
- Prepaid amount = $2,400 * (3 / 6) = $1,200
- Adjusted Rent & Rates = $14,400 - $1,200 = $13,200

5. **Wages and Salaries Accrued**:
- Unpaid wages = $1,800
- Adjusted Wages and Salaries = $36,200 + $1,800 = $38,000

6. **General Expenses**:
- General expenses adjusted for written off debt = $11,800 + $1,400 = $13,200

7. **Depreciation Charges**:
- Equipment: 15% * (Cost $80,000 - Prov $32,000) = 15% * $48,000 = $7,200
- Motor vehicles: 20% * $45,000 = $9,000

---

### **(a) Income Statement of Amara for the year ended 31 December 2023**

| | $ | $
| :--- | :---: | :---: |
| **Revenue** | | **340,000** |
| **Cost of Sales** | | |
| Opening inventory | 24,500 | |
| Purchases ($195,000 - $1,500) | 193,500 | |
| | 218,000 | |
| Less: Closing inventory | (27,700) | (190,300) |
| **Gross Profit** | | **149,700** |
| **Expenses** | | |
| Rent and rates ($14,400 - $1,200) | 13,200 | |
| Wages and salaries ($36,200 + $1,800) | 38,000 | |
| General expenses ($11,800 + $1,400) | 13,200 | |
| Increase in allowance for doubtful debts | 630 | |
| Depreciation - Equipment | 7,200 | |
| Depreciation - Motor vehicles | 9,000 | (81,230) |
| **Profit for the year** | | **68,470** |

---

### **(b) Statement of Financial Position of Amara as at 31 December 2023**

| **Non-Current Assets** | Cost ($) | Acc. Depr ($) | Net Book Value ($) |
| :--- | :---: | :---: | :---: |
| Equipment | 80,000 | 39,200 | 40,800 |
| Motor vehicles | 45,000 | 27,000 | 18,000 |
| **Total Non-Current Assets** | | | **58,800** |

| **Current Assets** | $ | $ |
| :--- | :---: | :---: |
| Inventory | | 27,700 |
| Trade receivables ($36,600 - $1,830) | | 34,770 |
| Other receivables (Prepayment) | | 1,200 |
| **Total Current Assets** | | **63,670** |
| **Total Assets** | | **122,470** |

| **Capital and Liabilities** | $ | $ |
| :--- | :---: | :---: |
| **Capital** | | |
| Opening Balance | | 46,400 |
| Add: Profit for the year | | 68,470 |
| Less: Drawings ($18,200 + $1,500) | | (19,700) |
| **Closing Capital** | | **95,170** |
| **Current Liabilities** | | |
| Trade payables | 22,400 | |
| Bank overdraft | 3,100 | |
| Other payables (Accrued wages) | 1,800 | |
| **Total Current Liabilities** | | **27,300** |
| **Total Capital and Liabilities** | | **122,470** |

---

### **(c) Explanation of Accounting Concepts**

**(i) Accruals (Matching) Concept**:
- **Meaning**: Expenses and revenues must be recognized and matched in the period they occur, rather than when the cash is paid or received. (1)
- **Application**:
- Prepaid rates of $1,200 were deducted from rent and rates expense to match only the rates related to the current financial year. (1)
- Accrued wages of $1,800 were added to wages expense to include unpaid costs incurred during the financial year. (1)

**(ii) Prudence Concept**:
- **Meaning**: Profits should not be overstated and losses should be provided for as soon as they are anticipated. Assets should not be overstated, and liabilities should not be understated. (1)
- **Application**:
- Inventory was written down to its Net Realisable Value of $27,700 (a reduction of $900) to avoid overstating the asset value and gross profit. (1)
- Trade Receivables were decreased by making an allowance of 5% ($1,830) to account for expected future credit losses. (1)

### **(a) Income Statement (Total: 14 marks)**
- Revenue: $340,000 [No mark, given]
- Opening inventory: $24,500 [No mark, given]
- Purchases ($195,000 - $1,500): $193,500 [2 marks] (1 mark for deducting drawings of goods, 1 mark for correct final amount)
- Closing inventory ($28,600 - $900): $27,700 [2 marks] (1 mark for working showing NRV of damaged goods is $900, 1 mark for final correct value)
- Gross Profit: $149,700 [1 mark, OF (Own Figure)]
- Rent and rates ($14,400 - $1,200): $13,200 [1 mark]
- Wages and salaries ($36,200 + $1,800): $38,000 [1 mark]
- General expenses ($11,800 + $1,400): $13,200 [2 marks] (1 mark for adding bad debt written off, 1 mark for final amount)
- Increase in allowance for doubtful debts ($1,830 - $1,200): $630 [2 marks] (1 mark for calculating correct new allowance of $1,830, 1 mark for calculating the correct increase of $630)
- Depreciation - Equipment: $7,200 [1 mark]
- Depreciation - Motor vehicles: $9,000 [1 mark]
- Profit for the year: $68,470 [1 mark, OF]

### **(b) Statement of Financial Position (Total: 10 marks)**
- Equipment Net Book Value ($80,000 - $39,200): $40,800 [1 mark, OF]
- Motor Vehicles Net Book Value ($45,000 - $27,000): $18,000 [1 mark, OF]
- Inventory: $27,700 [1 mark, OF]
- Trade receivables net of allowance ($36,600 - $1,830): $34,770 [2 marks] (1 mark for adjusted trade receivables, 1 mark for deducting the allowance)
- Other receivables (Prepaid rates): $1,200 [1 mark]
- Capital section (Opening Capital $46,400 + Profit $68,470 OF - Drawings $19,700 OF) = $95,170 [2 marks] (1 mark for correct drawings adjustment, 1 mark for correct closing capital total)
- Trade payables: $22,400 [No mark, given]
- Bank overdraft: $3,100 [No mark, given]
- Other payables (Accrued wages): $1,800 [1 mark]
- SFP balancing format check: Total Assets matches Total Capital & Liabilities = $122,470 [1 mark]

### **(c) Accounting Concepts (Total: 6 marks)**
**(i) Accruals (Matching) Concept (3 marks)**:
- 1 mark: Clear explanation of the concept (matching revenue earned with expenses incurred for the period).
- 1 mark: Application to prepayment (rates of $1,200 subtracted).
- 1 mark: Application to accrual (wages of $1,800 added).

**(ii) Prudence Concept (3 marks)**:
- 1 mark: Clear explanation of the concept (anticipate losses, do not overstate assets/revenue).
- 1 mark: Application to inventory valuation (lower of cost and NRV).
- 1 mark: Application to trade receivables (creation of the allowance for doubtful debts).

### (a) Corrected Sales Ledger Control Account

$$
\begin{array}{lr|lr}
\hline
\textbf{Details} & \textbf{\$} & \textbf{Details} & \textbf{\$}
\\ \hline
\text{Balance b/d} & 18,450 & \text{Sales returns (Item 2)} & 180 \\
& & \text{Bad debts (Item 4)} & 350 \\
& & \text{Balance c/d} & 17,920 \\
\hline
& \mathbf{18,450} & & \mathbf{18,450} \\
\hline
\text{Balance b/d} & 17,920 & &
\\ \hline
\end{array}
$$

### (b) Reconciliation Statement

$$
\begin{array}{lrr}
\hline
\textbf{Details} & \textbf{\$} & \textbf{\$}
\\ \hline
\text{Original total of list of balances} & & 19,790 \\
\text{Add: Understatement of credit sales (Item 1)} & & 450 \\
\hline
& & 20,240 \\
\text{Less:} & & \\
\text{Cash from J. Patel entered on wrong side (Item 3) } (\$620 \times 2) & (1,240) & \\
\text{Contra entry omitted in ledger (Item 5)} & (280) & \\
\text{Incorrect posting of cash receipt from T. Brown (Item 6) } (\$400 + \$400) & (800) & (2,320) \\
\hline
\textbf{Corrected total of list of balances} & & \mathbf{17,920} \\
\hline
\end{array}
$$

### (c) Benefits of maintaining control accounts (any four):
1. **Locating errors:** It narrows down the search for errors to a specific ledger if the control account balance and the list of balances do not agree.
2. **Prevention of fraud:** Since control accounts are usually maintained by a senior staff member or someone other than the ledger clerks, it acts as an internal check (segregation of duties) and helps detect/deter fraud.
3. **Quick financial statements preparation:** It provides the total value of trade receivables and trade payables immediately, enabling the swift preparation of financial statements without totaling individual personal accounts.
4. **Verifies ledger accuracy:** It provides an independent mathematical check on the accuracy of the personal ledger accounts.
5. **Management information:** Helps management obtain up-to-date totals of outstanding balances for credit control, working capital management, and cash-flow projections.

### (a) Corrected Sales Ledger Control Account [Total: 5 marks]
* **Debit Balance b/d ($18,450):** [1] mark
* **Credit Sales Returns ($180):** [1] mark
* **Credit Bad Debts ($350):** [1] mark
* **Balance c/d ($17,920):** [1] mark
* **Balance b/d on 1 May ($17,920):** [1] mark (Own Figure - OF, must be on debit side to score)

### (b) Reconciliation Statement [Total: 6 marks]
* **Original total ($19,790):** No mark (provided in question)
* **Add: Understatement of sales ($450):** [1] mark
* **Less: Patel wrong side entry ($1,240):** [1] mark
* **Less: Contra entry omitted ($280):** [1] mark
* **Less: Cash receipt posting error ($800):** [2] marks (or [1] mark for each $400 adjustment if listed separately: $400 to credit T. Brown, $400 to reverse debit to T. Green)
* **Corrected list of balances ($17,920):** [1] mark (Own Figure - OF, must reconcile with the final balance in part (a))

### (c) Benefits of maintaining control accounts [Total: 4 marks]
* [1] mark for each valid benefit stated, up to a maximum of [4] marks.
* Acceptable benefits: locating errors, deterring/preventing fraud (segregation of duties), enabling quick preparation of financial statements, mathematical check of ledger accuracy, and providing immediate management info for debtors control.

### (a) Corrected Sales Ledger Control Account

$$
\begin{array}{lr|lr}
\hline
\textbf{Details} & \textbf{\$} & \textbf{Details} & \textbf{\$}
\\ \hline
\text{Balance b/d} & 18,450 & \text{Sales returns (Item 2)} & 180 \\
& & \text{Bad debts (Item 4)} & 350 \\
& & \text{Balance c/d} & 17,920 \\
\hline
& \mathbf{18,450} & & \mathbf{18,450} \\
\hline
\text{Balance b/d} & 17,920 & &
\\ \hline
\end{array}
$$

### (b) Reconciliation Statement

$$
\begin{array}{lrr}
\hline
\textbf{Details} & \textbf{\$} & \textbf{\$}
\\ \hline
\text{Original total of list of balances} & & 19,790 \\
\text{Add: Understatement of credit sales (Item 1)} & & 450 \\
\hline
& & 20,240 \\
\text{Less:} & & \\
\text{Cash from J. Patel entered on wrong side (Item 3) } (\$620 \times 2) & (1,240) & \\
\text{Contra entry omitted in ledger (Item 5)} & (280) & \\
\text{Incorrect posting of cash receipt from T. Brown (Item 6) } (\$400 + \$400) & (800) & (2,320) \\
\hline
\textbf{Corrected total of list of balances} & & \mathbf{17,920} \\
\hline
\end{array}
$$

### (c) Benefits of maintaining control accounts (any four):
1. **Locating errors:** It narrows down the search for errors to a specific ledger if the control account balance and the list of balances do not agree.
2. **Prevention of fraud:** Since control accounts are usually maintained by a senior staff member or someone other than the ledger clerks, it acts as an internal check (segregation of duties) and helps detect/deter fraud.
3. **Quick financial statements preparation:** It provides the total value of trade receivables and trade payables immediately, enabling the swift preparation of financial statements without totaling individual personal accounts.
4. **Verifies ledger accuracy:** It provides an independent mathematical check on the accuracy of the personal ledger accounts.
5. **Management information:** Helps management obtain up-to-date totals of outstanding balances for credit control, working capital management, and cash-flow projections.

### (a) Corrected Sales Ledger Control Account [Total: 5 marks]
* **Debit Balance b/d ($18,450):** [1] mark
* **Credit Sales Returns ($180):** [1] mark
* **Credit Bad Debts ($350):** [1] mark
* **Balance c/d ($17,920):** [1] mark
* **Balance b/d on 1 May ($17,920):** [1] mark (Own Figure - OF, must be on debit side to score)

### (b) Reconciliation Statement [Total: 6 marks]
* **Original total ($19,790):** No mark (provided in question)
* **Add: Understatement of sales ($450):** [1] mark
* **Less: Patel wrong side entry ($1,240):** [1] mark
* **Less: Contra entry omitted ($280):** [1] mark
* **Less: Cash receipt posting error ($800):** [2] marks (or [1] mark for each $400 adjustment if listed separately: $400 to credit T. Brown, $400 to reverse debit to T. Green)
* **Corrected list of balances ($17,920):** [1] mark (Own Figure - OF, must reconcile with the final balance in part (a))

### (c) Benefits of maintaining control accounts [Total: 4 marks]
* [1] mark for each valid benefit stated, up to a maximum of [4] marks.
* Acceptable benefits: locating errors, deterring/preventing fraud (segregation of duties), enabling quick preparation of financial statements, mathematical check of ledger accuracy, and providing immediate management info for debtors control.

### **(a) Statement of Changes in Equity for Vortex Ltd for the year ended 31 December 2023**

| Details | Ordinary Share Capital ($) | Share Premium ($) | Revaluation Reserve ($) | Retained Earnings ($) | Total ($) |
| :--- | :---: | :---: | :---: | :---: | :---: |
| **Balances at 1 January 2023** | 200,000 | 40,000 | 30,000 | 125,000 | 395,000 |
| Rights issue *(W1)* | 50,000 | 25,000 | - | - | 75,000 |
| Bonus issue *(W2)* | 50,000 | (50,000) | - | - | - |
| Revaluation of property | - | - | 25,000 | - | 25,000 |
| Transfer of excess depreciation | - | - | (10,000) | 10,000 | - |
| Interim dividend paid *(W3)* | - | - | - | (30,000) | (30,000) |
| Profit for the year | - | - | - | 85,000 | 85,000 |
| **Balances at 31 December 2023** | **300,000** | **15,000** | **45,000** | **190,000** | **550,000** |

#### **Workings:**

* **W1: Rights Issue (1 March 2023)**
* Number of existing shares = \( \frac{\$200,000}{\$0.50} = 400,000 \) shares.
* Number of rights shares issued = \( 400,000 \times \frac{1}{4} = 100,000 \) shares.
* Increase in Share Capital = \( 100,000 \text{ shares} \times \$0.50 = \$50,000 \).
* Increase in Share Premium = \( 100,000 \text{ shares} \times (\$0.75 - \$0.50) = \$25,000 \).
* Total cash received = \( \$75,000 \).

* **W2: Bonus Issue (1 July 2023)**
* Shares held before bonus issue = \( 400,000 + 100,000 = 500,000 \) shares.
* Number of bonus shares issued = \( 500,000 \times \frac{1}{5} = 100,000 \) shares.
* Value of bonus issue = \( 100,000 \text{ shares} \times \$0.50 = \$50,000 \).
* To keep reserves in their most flexible form, capital reserves (Share Premium) are used first. The balance in Share Premium prior to this was \( \$40,000 + \$25,000 = \$65,000 \). Therefore, the entire \( \$50,000 \) is funded from Share Premium.

* **W3: Interim Dividend Paid (1 November 2023)**
* Shares held before dividend = \( 500,000 + 100,000 = 600,000 \) shares.
* Interim dividend paid = \( 600,000 \text{ shares} \times \$0.05 = \$30,000 \).

---

### **(b) Differences between a bonus issue and a rights issue**

1. **Cash Flow / Funding Source:**
* A **rights issue** raises fresh cash/liquidity from external shareholders.
* A **bonus issue** does not raise any cash; it is a non-cash capitalization of internal reserves (converting reserves to share capital).
2. **Pricing:**
* In a **rights issue**, shareholders must buy the new shares (usually at a discount to the current market price but above nominal value).
* In a **bonus issue**, shares are issued to existing shareholders completely free of charge.
3. **Impact on Reserves:**
* A **rights issue** increases reserves (specifically Share Premium) if shares are issued above nominal value.
* A **bonus issue** reduces reserves (Share Premium and/or Retained Earnings) as they are used to fund the par value of the new shares.
4. **Shareholder Choice:**
* In a **rights issue**, shareholders have the option to accept, decline, or sell their rights to others.
* In a **bonus issue**, the issue is automatic; shareholders must accept the new shares and cannot decline or sell the "bonus rights" separately from the underlying shares.

*(Any 2 distinct differences well-explained: 2 marks each)*

---

### **(c) Reasons for choosing a bonus issue over a cash dividend**

* **To conserve cash:** A bonus issue rewards shareholders without reducing the company's cash balance, which might be required for future growth, working capital, or investment in non-current assets.
* **To improve marketability / liquidity of shares:** It increases the number of shares in circulation and reduces the market price per share, making them more affordable to small investors.

### **Marking Scheme**

#### **Part (a): Statement of Changes in Equity [Total: 10 Marks]**
* **Opening balances (1 Jan 2023):** **[1]** for all correct opening balances.
* **Rights issue:** **[1]** for Share Capital (+$50,000) AND **[1]** for Share Premium (+$25,000).
* **Bonus issue:** **[1]** for Share Capital (+$50,000) AND **[1]** for Share Premium (-$50,000).
* **Revaluation:** **[1]** for Revaluation Reserve (+$25,000).
* **Transfer of depreciation:** **[1]** for showing -$10,000 in Revaluation Reserve and +$10,000 in Retained Earnings.
* **Interim dividend:** **[1]** for calculating and showing -$30,000 in Retained Earnings.
* **Profit for the year:** **[1]** for Retained Earnings (+$85,000).
* **Closing balances (31 Dec 2023):** **[1]** for all correct column totals (Share Capital $300k, Premium $15k, Revaluation $45k, Retained Earnings $190k, and Total $550k).

#### **Part (b): Differences [Total: 4 Marks]**
* **Difference 1:** **[2]** (1 mark for describing the aspect of a rights issue, 1 mark for contrast with a bonus issue).
* **Difference 2:** **[2]** (1 mark for describing the second aspect of a rights issue, 1 mark for contrast with a bonus issue).

#### **Part (c): Explanation [Total: 1 Mark]**
* **[1]** for any valid point (e.g., conserves cash for investments, improves marketability of shares, or satisfies expectations of reward when cash is tight).

**(a) Predetermined Fixed Manufacturing Overhead Absorption Rate (OAR):**
$$\text{OAR} = \frac{\text{Budgeted Fixed Manufacturing Overheads}}{\text{Budgeted Production Units}}$$
$$\text{OAR} = \frac{\$150,000}{10,000 \text{ units}} = \$15 \text{ per unit}$$

**(b)(i) Marginal Costing Profit Statement for the year ended 31 December 2023:**
* **Revenue** (9,500 units * $80): $760,000
* **Less Variable Cost of Sales:**
* Opening inventory: $0
* Variable cost of production (12,000 units * $36): $432,000
* Less Closing inventory (2,500 units * $36): ($90,000)
* Variable cost of sales: $342,000
* **Contribution**: $418,000
* **Less Fixed Costs:**
* Fixed manufacturing overheads: $156,000
* Fixed selling and administrative overheads: $42,000
* **Profit under marginal costing**: $220,000

**(b)(ii) Absorption Costing Profit Statement for the year ended 31 December 2023:**
* **Revenue** (9,500 units * $80): $760,000
* **Less Cost of Sales (at standard OAR cost):**
* Opening inventory: $0
* Cost of production (12,000 units * $51): $612,000
* Less Closing inventory (2,500 units * $51): ($127,500)
* Cost of sales (before adjustments): $484,500
* Adjustment for over-absorbed overheads (see working): ($24,000)
* Adjusted Cost of Sales: $460,500
* **Gross Profit**: $299,500
* **Less Non-manufacturing expenses:**
* Fixed selling and administrative overheads: $42,000
* **Profit under absorption costing**: $257,500

**Working for Over-absorption:**
* Fixed overhead absorbed (12,000 units * $15): $180,000
* Actual fixed manufacturing overhead: $156,000
* Over-absorption of fixed manufacturing overhead: $24,000

**(c) Reconciliation Statement:**
* Profit under marginal costing: $220,000
* **Add:** Fixed manufacturing overheads in closing inventory (2,500 units * $15): $37,500
* Profit under absorption costing: $257,500

**(d) Discussion:**
* **Advantages of Marginal Costing:**
1. It prevents profit manipulation through changes in production volume. Profit is driven entirely by sales performance.
2. It provides clear contribution-to-sales data which is essential for short-term decision-making (e.g., make-or-buy decisions, special order pricing, optimal production mix with key limiting factors).
3. Fixed overheads are treated as period costs, which avoids arbitrary allocations and makes the performance reporting simpler.
* **Disadvantages of Marginal Costing:**
1. It does not comply with IAS 2 for external financial reporting, which requires absorption costing (retaining a systematic share of fixed production overheads in inventory valuation).
2. In the long run, all fixed costs must be recovered. Relying solely on contribution-based decision-making might lead to setting long-term prices too low.
3. It assumes that costs can be easily and neatly classified into purely variable and purely fixed, which is often not possible in real-world scenarios.

**(a) [2 Marks]**
* Formula / Correct application: Budgeted fixed manufacturing overheads / Budgeted production units **(1)**
* Correct calculation: $15 per unit **(1)**

**(b)(i) [7 Marks]**
* Revenue: $760,000 **(1)**
* Variable cost of production: $432,000 **(1)**
* Closing inventory units (12,000 - 9,500 = 2,500 units) **(1)** and closing inventory valuation ($90,000) **(1)**
* Contribution: $418,000 **(1 OF)**
* Both fixed costs ($156,000 and $42,000) deducted **(1)**
* Final profit under marginal costing: $220,000 **(1 OF)**

**(b)(ii) [9 Marks]**
* Revenue: $760,000 **(1)**
* Cost of production ($612,000) **(1)**
* Closing inventory valuation ($127,500) **(2)** [1 mark for correct OAR unit rate of $51, 1 mark for correct valuation]
* Calculation of over-absorbed overheads ($24,000) **(1)**
* Treatment of over-absorbed overheads (deducted from cost of sales) **(1)**
* Gross profit ($299,500) **(1 OF)**
* Fixed selling & administrative overheads ($42,000) deducted as a period cost **(1)**
* Final profit under absorption costing: $257,500 **(1 OF)**

**(c) [4 Marks]**
* Showing both profits correctly: Marginal ($220,000) and Absorption ($257,500) **(1)**
* Correct identification of difference ($37,500) **(1)**
* Explaining the difference as closing inventory fixed overhead content (2,500 units * $15) **(2)**

**(d) [8 Marks]**
* Max 4 marks for Advantages of marginal costing (1 mark per distinct, well-discussed point up to a maximum of 4)
* Max 4 marks for Disadvantages of marginal costing (1 mark per distinct, well-discussed point up to a maximum of 4)