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First, calculate the predetermined overhead absorption rate (OAR): \(\text{OAR} = \frac{\text{Budgeted Overheads}}{\text{Budgeted Direct Labour Hours}} = \frac{\$360,000}{45,000} = \$8.00\) per direct labour hour. Next, calculate the overhead absorbed during the year: \(\text{Overhead Absorbed} = \text{Actual Direct Labour Hours} \times \text{OAR} = 42,500 \times \$8.00 = \$340,000\). Finally, compare the absorbed overhead with the actual overhead incurred: \(\text{Under/Over Absorption} = \text{Overhead Absorbed} - \text{Actual Overhead Incurred} = \$340,000 - \$348,000 = -\$8,000\) (under-absorbed).

1 mark for the correct identification and calculation of $8,000 under-absorbed.

First, adjust the trade receivables for the irrecoverable debt written off: \(\text{Adjusted Receivables} = \$84,000 - \$4,000 = \$80,000\). Second, calculate the new provision for doubtful debts: \(\text{New Provision} = \$80,000 \times 5\% = \$4,000\). Third, calculate the change in the provision: \(\text{Increase in Provision} = \text{New Provision} - \text{Old Provision} = \$4,000 - \$3,800 = \$200\). Fourth, calculate the total expense charged to the income statement: \(\text{Total Expense} = \text{Irrecoverable Debt} + \text{Increase in Provision} = \$4,000 + \$200 = \$4,200\).

1 mark for the correct total of $4,200.

Calculate current assets: \(\text{Current Assets} = \text{Current Liabilities} \times 2.5 = \$60,000 \times 2.5 = \$150,000\). Calculate liquid assets: \(\text{Liquid Assets} = \text{Current Liabilities} \times 1.5 = \$60,000 \times 1.5 = \$90,000\). Calculate inventory: \(\text{Inventory} = \text{Current Assets} - \text{Liquid Assets} = \$150,000 - \$90,000 = \$60,000\). Calculate cost of sales using inventory turnover: \(\text{Cost of Sales} = \text{Inventory} \times \text{Inventory Turnover} = \$60,000 \times 6 = \$360,000\).

1 mark for the correct cost of sales of $360,000.

Number of shares on 1 January 2022: \(\frac{\$400,000}{\$0.50} = 800,000\) shares. Rights issue: \(\frac{800,000}{4} = 200,000\) new shares. Share premium on rights issue: \(200,000 \times (\$0.80 - \$0.50) = \$60,000\). Total shares after rights issue: \(800,000 + 200,000 = 1,000,000\) shares. Balance on share premium after rights issue: \(\$120,000 + \$60,000 = \$180,000\). Bonus issue: \(\frac{1,000,000}{10} = 100,000\) shares. Cost of bonus issue funded from share premium (at nominal value): \(100,000 \times \$0.50 = \$50,000\). Balance on share premium after bonus issue: \(\$180,000 - \$50,000 = \$130,000\).

1 mark for the correct share premium balance of $130,000.

Using the high-low method on activity levels below the step-up (4,000 and 6,000 units): \(\text{Variable Cost per Unit} = \frac{\$52,000 - \$38,000}{6,000 - 4,000} = \frac{\$14,000}{2,000} = \$7.00\). Calculate base fixed costs: \(\text{Fixed Costs} = \$38,000 - (4,000 \times \$7.00) = \$10,000\). For 7,500 units, which is above the step-up of 7,000 units, the fixed costs increase by $8,000 to \(\$18,000\). Total cost at 7,500 units: \(\text{Total Cost} = \$18,000 + (7,500 \times \$7.00) = \$18,000 + \$52,500 = \$70,500\).

1 mark for the correct total cost of $70,500.

Contribution per unit: \(\text{Selling Price} - \text{Variable Cost} = \$45 - \$27 = \$18\). Break-even volume: \(\frac{\text{Fixed Costs}}{\text{Contribution per Unit}} = \frac{\$162,000}{\$18} = 9,000\) units. Target sales volume: \(\frac{\text{Fixed Costs} + \text{Target Profit}}{\text{Contribution per Unit}} = \frac{\$162,000 + \$54,000}{\$18} = 12,000\) units. Difference between target sales and break-even: \(12,000 - 9,000 = 3,000\) units. (Alternatively, the target profit divided by the contribution per unit: \(\frac{\$54,000}{\$18} = 3,000\) units).

1 mark for the correct calculation of 3,000 units.

Starting with the bank statement balance of \(-\$8,450\) (overdrawn): Add uncredited deposits of \(\$3,450\) and deduct unpresented cheques of \(\$2,100\). This gives \(-\$8,450 + \$3,450 - \$2,100 = -\$7,100\) (credit / overdrawn). Note that the bank charge of \(\$150\) is already reflected in the bank statement, so the reconciled balance of \(\$7,100\) is the final corrected cash book balance.

1 mark for the correct balance of $7,100 credit.

First, share goodwill to existing partners in the old ratio (3:2): X receives \(\frac{3}{5} \times \$50,000 = \$30,000\). Second, write off goodwill to all partners in the new ratio (5:3:2): X is debited with \(\frac{5}{10} \times \$50,000 = \$25,000\). X's final capital account balance: \(\text{Opening Capital} + \text{Goodwill Credit} - \text{Goodwill Debit} = \$60,000 + \$30,000 - \$25,000 = \$65,000\).

1 mark for the correct capital account balance of $65,000.

To calculate the corrected cost of sales, we need to adjust both the purchases and the closing inventory:

1. **Adjusted Purchases**:
We must deduct goods withdrawn for personal use from purchases:
\(\text{Adjusted Purchases} = \$85,000 - \$2,000 = \$83,000\)

2. **Adjusted Closing Inventory**:
According to IAS 2, inventory must be valued at the lower of cost and net realisable value (NRV). The damaged items must be written down from cost (\(\$1,500\)) to NRV (\(\$400\)), which is a reduction of \(\$1,100\):
\(\text{Adjusted Closing Inventory} = \$14,500 - \$1,100 = \$13,400\)

3. **Corrected Cost of Sales**:
\(\text{Cost of Sales} = \text{Opening Inventory} + \text{Adjusted Purchases} - \text{Adjusted Closing Inventory}\)
\(\text{Cost of Sales} = \$12,000 + \$83,000 - \$13,400 = \$81,600\)

1 mark for the correct calculation of corrected cost of sales (\(\$81,600\)).
- Award 0 marks for incorrect distractors based on failing to adjust for drawings or the inventory write-down.

1. **Calculate the Predetermined Overhead Absorption Rate (OAR)**:
\(\text{OAR} = \frac{\text{Budgeted Overheads}}{\text{Budgeted Direct Labour Hours}} = \frac{\$240,000}{40,000\text{ hours}} = \$6\text{ per direct labour hour}\)

2. **Determine the Overheads Absorbed**:
Since overheads were over-absorbed by \(\$12,000\):
\(\text{Absorbed Overheads} = \text{Actual Overheads} + \text{Over-absorbed Overheads}\)
\(\text{Absorbed Overheads} = \$258,000 + \$12,000 = \$270,000\)

3. **Calculate Actual Direct Labour Hours Worked**:
\(\text{Actual Hours} = \frac{\text{Absorbed Overheads}}{\text{OAR}} = \frac{\$270,000}{\$6} = 45,000\text{ hours}\)

1 mark for the correct actual direct labour hours (45,000 hours).
- Award 0 marks for incorrect alternatives resulting from under-absorption logic or direct division of actual costs.

1. **Determine Capital Employed**:
\(\text{Capital Employed} = \text{Non-current assets} + \text{Net current assets} = \$180,000 + \$40,000 = \$220,000\)
(Alternatively: Capital Employed = Equity + Non-current liabilities)

2. **Identify Operating Profit**:
Operating profit (Profit from operations before interest and tax) is given as \(\$33,000\).

3. **Calculate ROCE**:
\(\text{ROCE} = \frac{\text{Profit from Operations}}{\text{Capital Employed}} \times 100\%
= \frac{\$33,000}{\$220,000} \times 100\% = 15.0\%\)

1 mark for the correct ROCE (15.0%).
- Reject 12.7% (uses net profit of \(\$28,000\) instead of operating profit).
- Reject 19.4% (excludes non-current liabilities from capital employed).

Let's perform the calculations step-by-step:

1. **Opening Equity Balance**:
\(\text{Opening Equity} = \$200,000 + \$60,000 + \$95,000 = \$355,000\)

2. **Number of Shares Held**:
\(\text{Number of Shares} = \frac{\$200,000}{\$0.50} = 400,000\text{ shares}\)

3. **Rights Issue**:
- Shares issued: \(400,000 \times \frac{1}{4} = 100,000\text{ shares}\)
- Capital raised: \(100,000 \times \$0.80 = \$80,000\)
- This increases total equity by \(\$80,000\) (\(\$50,000\) to Share Capital and \(\$30,000\) to Share Premium).
- New total shares in issue: \(500,000\text{ shares}\).

4. **Dividend Paid**:
- Dividend: \(500,000\text{ shares} \times \$0.05 = \$25,000\)
- This decreases Retained Earnings (and therefore total equity) by \(\$25,000\).

5. **Profit for the Year**:
- Increases Retained Earnings (and total equity) by \(\$45,000\).

6. **Closing Equity Balance**:
\(\text{Closing Equity} = \$355,000 + \$80,000 - \$25,000 + \$45,000 = \$455,000\)

1 mark for the correct closing equity balance of \(\$455,000\).
- Reject alternatives that miscalculate dividend base or omit the share premium element of the rights issue.

Let variable cost per unit be \(v\) and the initial fixed cost below 8,000 units be \(F\).

At 6,000 units (below 8,000 units):
\(\text{Total Cost} = F + 6,000v = \$52,000\) --- (Equation 1)

At 10,000 units (above 8,000 units), fixed costs have increased by \(\$5,000\):
\(\text{Total Cost} = (F + \$5,000) + 10,000v = \$82,000\)
\(F + 10,000v = \$77,000\) --- (Equation 2)

Subtract Equation 1 from Equation 2:
\((F + 10,000v) - (F + 6,000v) = \$77,000 - \$52,000\)
\(4,000v = \$25,000\)
\(v = \$6.25\text{ per unit}\)

1 mark for the correct variable cost per unit of \(\$6.25\).
- Reject \(\$7.50\) (calculated by ignoring the step-up in fixed costs: \(\frac{\$82,000 - \$52,000}{10,000 - 6,000}\)).

The difference in profit between absorption costing and marginal costing is calculated as:

\(\text{Difference} = \text{Change in inventory quantity} \times \text{Fixed production overhead cost per unit}\)

1. **Change in Inventory Quantity**:
Since it is the first year of operations, opening inventory is zero.
\(\text{Closing Inventory} = \text{Production} - \text{Sales} = 12,000 - 9,500 = 2,500\text{ units}\)
\(\text{Increase in Inventory} = 2,500\text{ units}\)

2. **Fixed Production Cost per Unit**:
\(\text{OAR} = \$12\text{ per unit}\)

3. **Difference in Profit**:
\(\text{Difference} = 2,500\text{ units} \times \$12 = \$30,000\)

Because closing inventory increased (production > sales), absorption costing carries forward more fixed overheads in inventory valuation, leading to a higher profit.
Therefore, absorption costing profit is \(\$30,000\) higher than marginal costing profit.

1 mark for identifying the correct relationship and difference (Absorption costing profit is \(\$30,000\) higher).
- Reject choices suggesting marginal costing is higher or using variable production cost for the difference (e.g. \(2,500 \times \$18 = \$45,000\)).

To find the corrected cash book balance, we only adjust the draft cash book for items that need to be recorded in it. Receipts not yet credited (\(\$1,200\)) and outstanding/unpresented cheques (\(\$2,100\)) are timing differences that only appear on the Bank Reconciliation Statement and do not affect the corrected cash book balance.

\(\text{Draft cash book balance (debit)} = \$4,500\)
- Less: Bank charges = \(-\$150\)
- Less: Dishonoured cheque = \(-\$850\)

\(\text{Corrected cash book balance} = \$4,500 - \$150 - \$850 = \$3,500\text{ debit}\)

1 mark for the correct adjusted cash book balance of \(\$3,500\).
- Reject \(\$2,600\) (results from adjusting the cash book for unpresented/uncredited items too).

1. **Depreciation Calculations**:
- **Year 2021**: \(\text{Depreciation} = 20\% \times \$40,000 = \$8,000\)
- \(\text{Net Book Value (NBV) at 31 Dec 2021} = \$40,000 - \$8,000 = \$32,000\)
- **Year 2022**: \(\text{Depreciation} = 20\% \times \$32,000 = \$6,400\)
- \(\text{Net Book Value (NBV) at 31 Dec 2022} = \$32,000 - \$6,400 = \$25,600\)
- **Year 2023 (Disposal Year)**: No depreciation is charged in the year of disposal.
- \(\text{NBV at date of disposal} = \$25,600\)

2. **Profit/Loss on Disposal**:
\(\text{Loss on Disposal} = \text{Net Book Value} - \text{Sale Proceeds}\)
\(\text{Loss on Disposal} = \$25,600 - \$22,000 = \$3,600\text{ loss}\)

1 mark for the correct loss on disposal of \(\$3,600\).
- Reject \(\$2,000\) loss (straight-line depreciation distraction).
- Reject \(\$240\) profit (calculated by incorrectly charging pro-rata depreciation for 9 months in the year of disposal).

1. **Adjust Purchases**: \(\$85,000\) (purchases) \(-\$1,500\) (goods taken for own use) = \(\$83,500\).
2. **Adjust Closing Inventory**: The damaged goods have a Net Realisable Value (NRV) of \(\$1,200 - \$300 = \$900\). Since the NRV (\(\$900\)) is lower than cost (\(\$2,000\)), the closing inventory must be written down by \(\$2,000 - \$900 = \$1,100\).
Adjusted closing inventory = \(\$14,500 - \$1,100 = \$13,400\).
3. **Calculate Cost of Sales**: \(\text{Opening Inventory} + \text{Adjusted Purchases} - \text{Adjusted Closing Inventory} = \$12,000 + \$83,500 - \$13,400 = \$82,100\).

1 mark for the correct calculation: \(\$82,100\). Awarded for correctly adjusting both purchases and closing inventory.

1. **Determine Overhead Absorption Rate (OAR)**: \(\frac{\$180,000}{45,000\text{ hours}} = \$4.00\text{ per direct labor hour}\).
2. **Calculate Absorbed Overheads**: \(47,500\text{ actual hours} \times \$4.00 = \$190,000\).
3. **Compare with Actual Overheads**: \(\text{Actual overheads incurred} = \$192,000\). Since absorbed overheads (\(\$190,000\)) are less than actual overheads (\(\$192,000\)), overheads are under-absorbed by \(\$192,000 - \$190,000 = \$2,000\).

1 mark for the correct calculation: \(\$2,000\) under-absorbed.

1. **Find Current Assets**: \(2.5 \times \$80,000 = \$200,000\).
2. **Find Liquid Assets**: \(1.5 \times \$80,000 = \$120,000\).
3. **Find Inventory**: \(\text{Current Assets} - \text{Liquid Assets} = \$200,000 - \$120,000 = \$80,000\).
4. **Calculate Inventory Turnover (days)**: \(\frac{\$80,000}{\$400,000} \times 365 = 73\text{ days}\).

1 mark for correct selection of Option B (73 days).

1. **Determine current number of shares**: \(\frac{\$400,000}{\$0.50} = 800,000\text{ shares}\).
2. **Calculate bonus shares**: \(\frac{800,000}{4} = 200,000\text{ shares}\).
3. **Calculate value of bonus issue**: \(200,000 \times \$0.50 = \$100,000\).
4. **Apply reserves**: To preserve maximum distributable reserves (retained earnings), the non-distributable share premium must be utilized first to fund the issue.
- Share premium reduction: \(\$100,000\).
- New share premium balance: \(\$120,000 - \$100,000 = \$20,000\).
- Retained earnings remain unchanged: \(\$180,000\).

1 mark for the correct balances: Share premium \(\$20,000\) and Retained earnings \(\$180,000\).

The step-up in fixed costs occurs only when production exceeds \(7,000\text{ units}\). Thus, fixed costs are identical between the \(4,000\text{ units}\) and \(6,000\text{ units}\) levels.

Apply the high-low method to these first two levels:
1. Change in units = \(6,000 - 4,000 = 2,000\text{ units}\).
2. Change in cost = \(\$34,000 - \$26,000 = \$8,000\).
3. Variable cost per unit = \(\frac{\$8,000}{2,000} = \$4.00\text{ per unit}\).

1 mark for correct identification of the variable cost per unit as \(\$4.00\).

1. **Determine change in inventory**: \(\text{Closing inventory} - \text{Opening inventory} = 3,500 - 2,000 = +1,500\text{ units}\) (inventory increased).
2. **Calculate the effect of fixed overheads**: \(1,500\text{ units} \times \$6\text{ per unit} = \$9,000\).
3. **Reconcile profits**: When closing inventory exceeds opening inventory, absorption costing profit is higher than marginal costing profit because fixed production overheads are carried forward in closing inventory.
\(\text{Absorption Profit} = \text{Marginal Profit} + \$9,000 = \$45,000 + \$9,000 = \$54,000\).

1 mark for correct selection of Option C (\(\$54,000\)).

1. **Correct the Cash Book Balance**:
\(\text{Draft Cash Book Balance} = \$8,400\)
Less bank charges: \(-\$150\)
Less dishonored check: \(-\$420\)
\(\text{Corrected Cash Book Balance} = \$8,400 - \$150 - \$420 = \$7,830\).

2. **Reconcile with Bank Statement Balance**:
\(\text{Corrected Cash Book Balance} = \text{Bank Statement Balance} + \text{Deposits in Transit} - \text{Unpresented Checks}\)
\(\$7,830 = \text{Bank Statement Balance} + \$1,850 - \$1,200\)
\(\$7,830 = \text{Bank Statement Balance} + \$650\)
\(\text{Bank Statement Balance} = \$7,830 - \$650 = \$7,180\) (Credit/Positive balance).

1 mark for the correct calculation: \(\$7,180\).

The main structural benefit of a private limited company compared to a traditional partnership is that its members (shareholders) enjoy limited liability. This means their personal assets are protected, and they are only liable for the debts of the company up to the amount unpaid on their shares.

1 mark for correctly identifying the advantage of limited liability for shareholders.

First, the irrecoverable debt must be written off, which reduces the trade receivables balance: $48,000 - $2,400 = $45,600. The required closing provision for doubtful debts is calculated on this adjusted balance: 5% * $45,600 = $2,280. The opening provision was $2,000, so there is an increase in the provision of $2,280 - $2,000 = $280. The total charge to the income statement is the sum of the written-off debt and the increase in the provision: $2,400 + $280 = $2,680.

1 mark for the correct option. Method: Identify write-off of $2,400, calculate adjusted receivables of $45,600, calculate new provision of $2,280, determine the increase in provision of $280, and sum both values ($2,400 + $280 = $2,680).

First, calculate the predetermined Overhead Absorption Rate (OAR): Budgeted Overheads / Budgeted Hours = $180,000 / 45,000 hours = $4.00 per direct labour hour. Next, calculate the absorbed overheads: Actual Hours * OAR = 46,500 hours * $4.00 = $186,000. Finally, compare actual overheads to absorbed overheads: $192,000 (actual) - $186,000 (absorbed) = $6,000 under-absorbed, because the actual overheads exceeded the amount absorbed.

1 mark for the correct option. Method: Determine OAR of $4.00 per hour, calculate absorbed overheads of $186,000, and find difference against actual overheads of $192,000 to conclude $6,000 under-absorbed.

First, calculate credit purchases: Cost of Sales + Closing Inventory - Opening Inventory = $360,000 + $50,000 - $40,000 = $370,000. Next, calculate average trade payables: ($34,000 + $42,000) / 2 = $38,000. Finally, calculate the payment period: (Average Trade Payables / Credit Purchases) * 365 days = ($38,000 / $370,000) * 365 = 37.48 days, which rounds to 37 days.

1 mark for the correct option. Method: Calculate purchases of $370,000, average payables of $38,000, and apply the payment period formula to get 37 days.

1. Rights issue: 1-for-4 of 400,000 shares = 100,000 shares issued. Ordinary share capital increase = 100,000 * $0.50 = $50,000. Share premium increase = 100,000 * ($0.80 - $0.50) = $30,000. New share premium balance = $80,000 + $30,000 = $110,000. Total shares now = 500,000. 2. Bonus issue: 1-for-5 of 500,000 shares = 100,000 shares. Total nominal value of bonus shares = 100,000 * $0.50 = $50,000. Funding this from share premium reduces the share premium account by $50,000. New share premium balance = $110,000 - $50,000 = $60,000.

1 mark for the correct option. Method: Add rights premium ($30,000) to get $110,000, calculate 100,000 bonus shares on the cumulative 500,000 shares, and deduct the nominal value of these bonus shares ($50,000) from share premium to arrive at $60,000.

First, calculate the current monthly profit: Current contribution per unit = $25 - $15 = $10. Total contribution = 8,000 units * $10 = $80,000. Current profit = Total contribution - Fixed costs = $80,000 - $60,000 = $20,000. Next, calculate the requirements under the proposed situation: New variable cost per unit = $15 + $2 = $17. New contribution per unit = $25 - $17 = $8. New fixed costs = $60,000 + $10,000 = $70,000. Required profit = $20,000. Required contribution = Required profit + New fixed costs = $20,000 + $70,000 = $90,000. Required sales volume = Required contribution / New contribution per unit = $90,000 / $8 = 11,250 units. Required increase in sales volume = 11,250 units - 8,000 units = 3,250 units.

1 mark for the correct option. Method: Determine current profit of $20,000, new contribution unit of $8, new fixed costs of $70,000, total required sales of 11,250 units, and the increment of 3,250 units.

First, calculate the depreciation for 2021: 20% of $80,000 = $16,000. Carrying value on 31 December 2021 = $80,000 - $16,000 = $64,000. Next, calculate the depreciation for 2022: 20% of $64,000 = $12,800. Carrying value on 31 December 2022 = $64,000 - $12,800 = $51,200. Since no depreciation is charged in the year of disposal, the carrying value at disposal on 1 October 2023 remains $51,200. Compare carrying value with sales proceeds: $48,000 (proceeds) - $51,200 (carrying value) = -$3,200 (loss of $3,200).

1 mark for the correct option. Method: Calculate carrying value after 2 years of reducing balance depreciation ($51,200), apply the disposal policy (no depreciation in 2023), and calculate loss on disposal as $3,200.

### Working Notes:

1. **Closing Inventory Valuation:**
- Cost of undamaged inventory: \(\$16,200 - \$1,500 = \$14,700\)
- Net Realisable Value (NRV) of damaged inventory: \(\$800\) (which is lower than cost of \(\$1,500\))
- Total inventory valuation: \(\$14,700 + \$800 = \$15,500\)

2. **Rent and Rates:**
- Trial balance figure: \(\$12,000\)
- Less: Prepayment: \((\$1,800)\)
- Income Statement expense: \(\$10,200\)

3. **Salaries and Wages:**
- Trial balance figure: \(\$24,800\)
- Add: Accrual: \(\$1,200\)
- Income Statement expense: \(\$26,000\)

4. **Depreciation on Equipment:**
- Net Book Value: \(\$40,000 - \$16,000 = \$24,000\)
- Depreciation charge: \(15\% \times \$24,000 = \$3,600\)

5. **Trade Receivables and Provision for Doubtful Debts:**
- Trade receivables: \(\$18,200\)
- Less: Irrecoverable debt written off: \((\$700)\)
- Adjusted Trade Receivables: \(\$17,500\)
- Required provision (5% of \(\$17,500\)): \(\$875\)
- Existing provision: \(\$600\)
- Increase in provision (expense): \(\$875 - \$600 = \$275\)

---

### (a) Statement of Profit or Loss for the year ended 31 December 2022

| | $ | $
| --- | --- | ---
| **Revenue** | | **185,000**
| **Cost of Sales** | |
| Opening Inventory | 14,500 |
| Purchases | 104,000 |
| Carriage Inwards | 2,100 |
| | 120,600 |
| Less: Closing Inventory (W1) | (15,500) | **(105,100)**
| **Gross Profit** | | **79,900**
| **Expenses** | |
| Rent and rates (W2) | 10,200 |
| Salaries and wages (W3) | 26,000 |
| General expenses | 8,400 |
| Depreciation on equipment (W4) | 3,600 |
| Irrecoverable debt | 700 |
| Increase in provision for doubtful debts (W5) | 275 | **(49,175)**
| **Profit for the year** | | **30,725**

---

### (b) Statement of Financial Position (Extract) - Current Assets at 31 December 2022

| Current Assets | $ | $
| --- | --- | ---
| Inventory | | 15,500
| Trade receivables | 17,500 |
| Less: Provision for doubtful debts | (875) | 16,625
| Other receivables (Prepayment) | | 1,800
| Bank | | 2,700
| **Total Current Assets** | | **36,625**

---

### (c) Accounting Concepts

* **(i) Valuation of damaged inventory:**
- **Prudence Concept:** Assets and profits must not be overstated. Therefore, inventory must be valued at the lower of cost and net realisable value (NRV).
- **Application:** Since the NRV ($800) of the damaged goods is lower than their cost ($1,500), they must be recorded at $800 to prevent overstating assets and profit.

* **(ii) Accrual of salaries and wages:**
- **Accruals / Matching Concept:** Revenue and costs are recognised as they are earned or incurred, and matched in the period to which they relate, regardless of cash flow.
- **Application:** The unpaid salaries of $1,200 represent services consumed during the financial year and must be included in the expenses for 2022 to accurately reflect the true cost of operations.

### (a) Statement of Profit or Loss [12 marks]
- **Revenue:** $185,000 (1 mark)
- **Opening Inventory:** $14,500 (1 mark)
- **Purchases:** $104,000 (1 mark)
- **Carriage Inwards:** $2,100 (1 mark) - must be added to Purchases
- **Closing Inventory:** $15,500 (2 marks) - (1 mark for working showing $15,500; 1 mark for correct subtraction)
- **Rent and rates:** $10,200 (1 mark)
- **Salaries and wages:** $26,000 (1 mark)
- **Depreciation on equipment:** $3,600 (1 mark)
- **Irrecoverable debt:** $700 (1 mark)
- **Increase in provision for doubtful debts:** $275 (1 mark)
- **Profit for the year:** $30,725 (1 mark OF) - only if no major format errors and calculated from previous entries.

### (b) Statement of Financial Position (Extract) [4 marks]
- **Inventory:** $15,500 (1 mark)
- **Trade Receivables (net):** $16,625 (1 mark) - accept $17,500 receivables and $875 provision presented clearly.
- **Other Receivables (Prepayment):** $1,800 (1 mark)
- **Bank:** $2,700 (1 mark)

### (c) Accounting Concepts [4 marks]
- **(i) Prudence Concept** (1 mark) + Explanation that inventory is valued at lower of cost and NRV to avoid overstating assets/profits (1 mark).
- **(ii) Accruals/Matching Concept** (1 mark) + Explanation that expenses incurred must be matched against revenues of the same period irrespective of cash payment (1 mark).

### (a) Calculation of Corrected Profit for the year ended 30 June 2023

| Item | $ | $
| --- | --- | ---
| **Draft profit for the year** | | **85,000**
| Less: Unrecorded administrative expenses | (4,500) |
| Less: Estimated income tax provision | (18,000) | **(22,500)**
| **Corrected profit for the year** | | **62,500**

*Note on items not affecting profit:*
- Interim dividend paid ($18,000) and transfer to general reserve ($15,000) are appropriations of equity, not expenses, and are shown in the Statement of Changes in Equity.
- Revaluation gain ($120,000) is recognized in Other Comprehensive Income and credited directly to the Revaluation Reserve.

---

### (b) Statement of Changes in Equity for Zeta Limited for the year ended 30 June 2023

| Details | Share Capital $ | Share Premium $ | Revaluation Reserve $ | General Reserve $ | Retained Earnings $ | Total $
| --- | --- | --- | --- | --- | --- | ---
| **Balances at 1 July 2022** | 300,000 | 40,000 | 80,000 | 35,000 | 95,000 | 550,000
| Profit for the year | - | - | - | - | 62,500 | 62,500
| Revaluation of property (W1) | - | - | 120,000 | - | - | 120,000
| Dividends paid (W2) | - | - | - | - | (18,000) | (18,000)
| Transfer to general reserve | - | - | - | 15,000 | (15,000) | -
| **Balances at 30 June 2023** | **300,000** | **40,000** | **200,000** | **50,000** | **124,500** | **714,500**

#### Workings:
- **W1 (Revaluation Gain):**
\(\text{New valuation} - \text{Carrying value} = \$620,000 - \$500,000 = \$120,000\)
- **W2 (Interim Dividend):**
\(\text{Number of shares} = \frac{\$300,000}{\$0.50} = 600,000 \text{ shares}\)
\(\text{Dividend paid} = 600,000 \times \$0.03 = \$18,000\)

---

### (c) Distinguishing between General Reserve and Share Premium

* **General Reserve (Revenue Reserve):**
- **Purpose & Source:** Created by transferring realized profits from Retained Earnings to strengthen the company’s capital base or fund future expansion.
- **Distributability:** It is a **distributable** reserve. The company can transfer it back to Retained Earnings to pay dividends to shareholders in the future if necessary.

* **Share Premium (Capital Reserve):**
- **Purpose & Source:** Created automatically when shares are issued at a price above their nominal value (par value).
- **Distributability:** It is a **non-distributable** reserve. Under company law, it cannot be used to pay cash dividends. It has restricted uses, such as funding a bonus issue of shares, writing off preliminary share issue expenses, or writing off the expenses/commission of any share issue.

### (a) Corrected Profit [4 marks]
- **Administrative expenses adjustment:** Deduct $4,500 (1 mark)
- **Income tax provision adjustment:** Deduct $18,000 (1 mark)
- **Omission of dividend/reserve transfer from profit calc:** Correctly omitted (1 mark)
- **Final profit value:** $62,500 (1 mark)

### (b) Statement of Changes in Equity [10 marks]
- **Opening balances line:** Correctly entered (1 mark)
- **Profit for the year:** Correctly added to Retained Earnings column (1 mark)
- **Revaluation of property:** $120,000 added to Revaluation Reserve and Total column (2 marks: 1 mark for calculation, 1 mark for SOCE entry)
- **Dividends paid:** $18,000 deducted from Retained Earnings and Total column (2 marks: 1 mark for share count calculation, 1 mark for SOCE entry)
- **Transfer to general reserve:** $15,000 subtracted from Retained Earnings and added to General Reserve (2 marks)
- **Closing balances line:** Correctly calculated for each individual column (1 mark) + Correct Total of $714,500 (1 mark OF)

### (c) Differences [6 marks]
- **General Reserve:**
- Created from realized profits/retained earnings (1 mark)
- Distributable / can be used for cash dividends (1 mark)
- Used to signal profit retention or buffer future payouts (1 mark)
- **Share Premium:**
- Created from issuing shares above nominal value (1 mark)
- Non-distributable / cannot be used for cash dividends (1 mark)
- Restricted capital uses, e.g., bonus share issues (1 mark)
*(Max 3 marks for General Reserve; Max 3 marks for Share Premium)*

### (a) Ratio Calculations

#### (i) Gross profit margin (%)
- **Formula:** \( \frac{\text{Gross Profit}}{\text{Revenue}} \times 100 \)
- **2021:** \( \frac{\$320,000}{\$800,000} \times 100 = 40.00\% \)
- **2022:** \( \frac{\$336,000}{\$960,000} \times 100 = 35.00\% \)

#### (ii) Profit margin (%)
- **Formula:** \( \frac{\text{Profit for the year}}{\text{Revenue}} \times 100 \)
- **2021:** \( \frac{\$80,000}{\$800,000} \times 100 = 10.00\% \)
- **2022:** \( \frac{\$76,800}{\$960,000} \times 100 = 8.00\% \)

#### (iii) Inventory turnover (days)
- **Formula:** \( \frac{\text{Average Inventory}}{\text{Cost of Sales}} \times 365 \)
- **2021:**
- Average Inventory = \( \frac{\$52,000 + \$60,000}{2} = \$56,000 \)
- Inventory Turnover = \( \frac{\$56,000}{\$480,000} \times 365 = 42.58 \text{ days} \)
- **2022:**
- Average Inventory = \( \frac{\$60,000 + \$78,000}{2} = \$69,000 \)
- Inventory Turnover = \( \frac{\$69,000}{\$624,000} \times 365 = 40.36 \text{ days} \)

#### (iv) Trade receivables turnover (days)
- **Formula:** \( \frac{\text{Trade Receivables}}{\text{Credit Revenue}} \times 365 \)
- **2021:** \( \frac{\$80,000}{\$800,000} \times 365 = 36.50 \text{ days} \)
- **2022:** \( \frac{\$120,000}{\$960,000} \times 365 = 45.63 \text{ days} \)

#### (v) Liquid (acid test) ratio
- **Formula:** \( \frac{\text{Current Assets} - \text{Inventory}}{\text{Current Liabilities}} \) or \( \frac{\text{Trade Receivables} + \text{Cash}}{\text{Trade Payables}} \)
- **2021:**
- Current Assets excluding inventory = \( \$80,000 \text{ (Receivables)} + \$15,000 \text{ (Cash)} = \$95,000 \)
- Current Liabilities = \( \$40,000 \text{ (Payables)} \)
- Ratio = \( \frac{\$95,000}{\$40,000} = 2.38 : 1 \)
- **2022:**
- Current Assets excluding inventory = \( \$120,000 \text{ (Receivables)} + \$3,000 \text{ (Cash)} = \$123,000 \)
- Current Liabilities = \( \$65,000 \text{ (Payables)} \)
- Ratio = \( \frac{\$123,000}{\$65,000} = 1.89 : 1 \)

---

### (b) Performance and Liquidity Analysis

* **Performance Analysis:**
- **Gross Profit Margin** declined from 40.00% to 35.00%. This is a negative trend and shows that cost of sales grew faster (by 30%) than revenue (which grew by 20%). Possible reasons include supplier price increases that were not passed on to customers, or offering higher trade discounts to drive volume.
- **Profit Margin** fell from 10.00% to 8.00%. Although profitability is lower, the 2.00% drop is less severe than the 5.00% drop in gross profit margin. This indicates that operating expenses (excluding cost of sales) were controlled well and dropped as a percentage of revenue (from 30.00% in 2021 to 27.00% in 2022).

* **Liquidity Analysis:**
- The **Liquid Ratio** decreased from 2.38:1 to 1.89:1. While this remains above the standard safe benchmark of 1:1, it points to a significant deterioration in liquid buffer resources.
- This cash drain is directly linked to the **Trade Receivables Turnover**, which deteriorated from 36.50 days to 45.63 days. Customers are taking over 9 days longer to pay, locking up critical cash in receivables.
- Additionally, cash balances fell from $15,000 to $3,000, while trade payables rose significantly from $40,000 to $65,000, demonstrating that the company is relying on delaying payments to suppliers to fund its working capital.
- **Inventory Turnover** improved slightly from 42.58 days to 40.36 days, which helps liquidity, but was insufficient to counteract the slow credit collections.

---

### (c) Ways to Improve Liquidity Position

1. **Introduce settlement discounts:** Offer credit customers a small discount (e.g., 2%) for payment within 10 days to accelerate cash inflows.
2. **Tighter Credit Control:** Assess creditworthiness of new customers more rigorously and establish automated chase procedures for overdue accounts.
3. **Lengthen Trade Payable Terms:** Negotiate extended credit terms with key suppliers (though this must be managed carefully to avoid damaging relationships).
4. **Refinancing Current Debt:** Obtain long-term loans to replace short-term obligations, instantly injecting cash and lowering immediate current liabilities.

### (a) Ratios [12 marks total]
- **(i) Gross profit margin:** Formula (0.5 mark), 2021: 40.00% (0.5 mark), 2022: 35.00% (1 mark).
- **(ii) Profit margin:** Formula (0.5 mark), 2021: 10.00% (0.5 mark), 2022: 8.00% (1 mark).
- **(iii) Inventory turnover:** Formula (0.5 mark), Average Inventory calculations (0.5 mark), 2021: 42.58 days (1.5 marks), 2022: 40.36 days (1.5 marks).
- **(iv) Trade receivables turnover:** Formula (0.5 mark), 2021: 36.50 days (0.5 mark), 2022: 45.63 days (1 mark).
- **(v) Liquid ratio:** Formula (0.5 mark), 2021: 2.38:1 (0.5 mark), 2022: 1.89:1 (1 mark).
*(Note: Accept rounded integer or decimal values if appropriate, but formula and steps must be clear).*

### (b) Analysis [6 marks total]
- **Performance (Max 3 marks):**
- Identify deterioration of GP margin from 40% to 35% and suggest reasons like higher cost of sales/purchasing price increases (1 mark).
- Identify deterioration of profit margin from 10% to 8% (1 mark).
- Recognise that expenses as a % of revenue decreased, offsetting some of the GP margin decline (1 mark).
- **Liquidity (Max 3 marks):**
- Identify deterioration in the liquid ratio from 2.38:1 to 1.89:1 (1 mark).
- Link cash decrease to trade receivables collection period slowing by 9 days (1 mark).
- Mention reliance on trade payables financing or inventory holding improvements (1 mark).

### (c) Ways to Improve Liquidity [2 marks]
- 1 mark for each valid method suggested (up to 2 marks):
- Offer cash/early settlement discounts to credit customers.
- Apply stricter credit limits/checks.
- Improve collection process (sending reminders/interest on late payments).
- Negotiate longer terms with trade payables.
- Implement JIT inventory management to reduce stock levels.

(a) Overhead Analysis Sheet
Overhead ItemBasisTotal ($)Machining ($)Assembly ($)Maintenance ($)Allocated OverheadsDirect Allocation90,00045,00030,00015,000Rent & RatesFloor Area (3:2:1)24,00012,0008,0004,000PowerkWh (5:3:1)18,00010,0006,0002,000Subtotal132,00067,00044,00021,000Reapportion MaintenanceHours (80% / 20%)-16,8004,200(21,000)Total Overheads132,00083,80048,2000
(b) Overhead Absorption Rates (OAR)
- Machining OAR = \( \frac{\$83,800}{5,000 \text{ machine hours}} = \$16.76 \) per machine hour.
- Assembly OAR = \( \frac{\$48,200}{4,000 \text{ direct labour hours}} = \$12.05 \) per direct labour hour.

(c) Over / Under Absorption
- Machining:
Overhead Absorbed = \( 5,100 \text{ actual machine hours} \times \$16.76 = \$85,476 \)
Actual Overhead = $85,000
Over-absorbed overhead = \( \$85,476 - \$85,000 = \$476 \) (Over-absorbed)

- Assembly:
Overhead Absorbed = \( 3,900 \text{ actual labour hours} \times \$12.05 = \$46,995 \)
Actual Overhead = $47,500
Under-absorbed overhead = \( \$47,500 - \$46,995 = \$505 \) (Under-absorbed)

(d) Budgeted Production Cost per Unit of Product Alpha
- Direct Materials: $25.00
- Direct Labour (Machining): \( 1.5 \text{ hours} \times \$12.00 = \$18.00 \)
- Direct Labour (Assembly): \( 2.0 \text{ hours} \times \$10.00 = \$20.00 \)
- Machining Overhead: \( 2.0 \text{ machine hours} \times \$16.76 = \$33.52 \)
- Assembly Overhead: \( 2.0 \text{ labour hours} \times \$12.05 = \$24.10 \)
Total Cost per Unit = $120.62

(e) Advice on Costing Methods
Benefits of switching to Marginal Costing:
- It avoids arbitrary apportionment of fixed overheads, showing a clearer picture of contribution per unit.
- Profits are not influenced by changes in inventory levels, as all fixed overheads are written off in the period incurred.
- Better suited for short-term decision making such as make-or-buy decisions, special order pricing, and profit planning.

Drawbacks of switching:
- It does not comply with international accounting standards (IAS 2) for financial reporting, which requires absorption costing for inventory valuation.
- Selling prices might be set too low if fixed overhead recovery is not factored in, leading to long-term losses.

Recommendation: The company should use marginal costing internally for short-term decision making but must retain absorption costing for external financial reporting and inventory valuation purposes.

(a) Overhead Analysis Sheet (8 marks)
- Rent & rates apportionment: 2 marks (1 mark for Machining/Assembly, 1 mark for Maintenance)
- Power apportionment: 2 marks (1 mark for Machining/Assembly, 1 mark for Maintenance)
- Reapportionment of Maintenance department: 2 marks (1 mark for correct total of $21,000, 1 mark for correct split 80/20)
- Correct total overheads for Machining and Assembly: 2 marks (1 mark each)

(b) Overhead Absorption Rates (4 marks)
- Machining OAR calculation and correct unit: 2 marks (OFR applies if totals in (a) are incorrect)
- Assembly OAR calculation and correct unit: 2 marks (OFR applies)

(c) Over/Under Absorption (6 marks)
- Machining overhead absorbed calculation: 1 mark
- Machining over-absorption identified and calculated: 2 marks
- Assembly overhead absorbed calculation: 1 mark
- Assembly under-absorption identified and calculated: 2 marks

(d) Cost per unit (6 marks)
- Direct costs (Prime cost) calculated correctly ($63.00): 2 marks
- Machining overhead absorbed per unit ($33.52): 1 mark (OFR)
- Assembly overhead absorbed per unit ($24.10): 1 mark (OFR)
- Correct final unit cost ($120.62): 2 marks

(e) Written advice (6 marks)
- Max 4 marks for arguments for and against (1 mark per valid point)
- Max 2 marks for a reasoned recommendation/conclusion