2024 Cambridge IGCSE Accounting (0452) 模擬試題連答案詳解

To correct the errors, we need to make the following journal entries:

1. The insurance account (a debit account) was over-debited by \( \$90 \) (\( \$540 - \$450 \)). To correct this, we credit the insurance account and debit the suspense account with \( \$90 \).
2. The receipt of \( \$270 \) was not credited to J. Smith's account. To correct this, we credit J. Smith's account and debit the suspense account with \( \$270 \).

Now, let's update the suspense account:
- Opening Balance: \( \$360 \) Credit
- Less: Debit entry for insurance correction: \( \$90 \)
- Less: Debit entry for J. Smith correction: \( \$270 \)
- Remaining Balance: \( \$360 \text{ (Credit)} - \$90 \text{ (Debit)} - \$270 \text{ (Debit)} = \text{Nil} \).

1 mark for the correct option (A).

- Correct identification of debit entries to the suspense account: \( \$90 \) and \( \$270 \).
- Correct application of these entries against the opening credit balance of \( \$360 \) to arrive at Nil.

The prime cost consists of the cost of raw materials consumed plus direct factory wages.

1. **Cost of raw materials consumed**:
\( \text{Opening inventory of raw materials} + \text{Purchases} + \text{Carriage inwards} - \text{Closing inventory of raw materials} \)
\( = \$14,000 + \$85,000 + \$3,200 - \$16,500 = \$85,700 \)

2. **Direct factory wages**: \( \$48,000 \)

3. **Prime Cost**:
\( = \$85,700 + \$48,000 = \$133,700 \)

Note: Work in progress, indirect factory wages, and factory overhead expenses are part of factory overheads and are excluded when calculating the prime cost.

1 mark for the correct option (A).

- Correct calculation of raw materials consumed: \( \$85,700 \) (including carriage inwards and adjusting for inventories).
- Correct addition of direct factory wages: \( \$48,000 \).
- Correct exclusion of work in progress, indirect wages, and factory overheads.

To find the total amount credited to Ben's current account, we calculate his share of appropriations and residual profit:

1. **Interest on Capital**:
- Ann: \( 5\% \times \$40,000 = \$2,000 \)
- Ben: \( 5\% \times \$30,000 = \$1,500 \)
Total Interest on Capital = \( \$3,500 \)

2. **Partner Salaries**:
- Ann: \( \$8,000 \)
- Ben: \( \$6,000 \)
Total Salaries = \( \$14,000 \)

3. **Residual Profit**:
\( = \text{Profit for the year} - \text{Total Interest on Capital} - \text{Total Salaries} \)
\( = \$45,000 - \$3,500 - \$14,000 = \$27,500 \)

4. **Ben's share of residual profit**:
\( = \frac{2}{5} \times \$27,500 = \$11,000 \)

5. **Total amount credited to Ben's current account**:
\( = \text{Ben's Salary} + \text{Ben's Interest on Capital} + \text{Ben's share of profit} \)
\( = \$6,000 + \$1,500 + \$11,000 = \$18,500 \).

Note: Drawings are debited to the current account, so they do not affect the total credits.

1 mark for the correct option (B).

- Correct calculation of Ben's interest on capital (\( \$1,500 \)) and salary (\( \$6,000 \)).
- Correct calculation of residual profit (\( \$27,500 \)) and Ben's share (\( \$11,000 \)).
- Correct summation of credits (\( \$18,500 \)) and correct treatment of drawings (ignored as they are debited).

The liquid (acid test) ratio measures a business's ability to meet its short-term liabilities using its liquid current assets (excluding inventory).

Formula:
\( \text{Liquid Ratio} = \frac{\text{Current Assets} - \text{Inventory}}{\text{Current Liabilities}} \)

1. **Liquid Current Assets**:
\( = \text{Trade receivables} + \text{Bank} \)
\( = \$16,000 + \$4,000 = \$20,000 \)

2. **Current Liabilities**:
\( = \text{Trade payables} + \text{Other payables} \)
\( = \$8,000 + \$2,000 = \$10,000 \)

3. **Ratio Calculation**:
\( = \frac{\$20,000}{\$10,000} = 2.00:1 \).

1 mark for the correct option (B).

- Correct identification of liquid current assets (excluding inventory): \( \$20,000 \).
- Correct identification of current liabilities: \( \$10,000 \).
- Correct calculation of the ratio: \( 2.00:1 \).

The rate of inventory turnover formula is: \( \frac{\text{Cost of Sales}}{\text{Average Inventory}} \).

A decrease in the turnover rate (from 8 to 6 times) means the business is taking longer to sell its inventory. This can happen if:
- The average inventory held is higher relative to the level of sales.
- Holding higher levels of inventory while sales volume remains constant increases the denominator, lowering the overall ratio.

Let's evaluate the options:
- Option A: Higher demand would increase sales, leading to a higher turnover rate.
- Option B: Holding more inventory with flat sales decreases the turnover rate (Correct).
- Option C: Reducing selling prices normally stimulates sales volume, which would increase the turnover rate.
- Option D: A shorter delivery lead time allows the business to hold less inventory, which would decrease average inventory and increase the turnover rate.

1 mark for the correct option (B).

- Understanding how changes in average inventory and sales volume affect the rate of inventory turnover ratio.

To find the profit or loss on disposal, we must calculate the net book value (NBV) of the machine at the date of disposal:

1. **Year 1 Depreciation (31 Dec 2021)**:
\( 20\% \times \$20,000 = \$4,000 \)
Net Book Value (NBV) at 1 Jan 2022 = \( \$20,000 - \$4,000 = \$16,000 \)

2. **Year 2 Depreciation (31 Dec 2022)**:
\( 20\% \times \$16,000 = \$3,200 \)
Net Book Value (NBV) at 1 Jan 2023 = \( \$16,000 - \$3,200 = \$12,800 \)

3. **Year 3 Depreciation (30 June 2023)**:
No depreciation is charged in the year of disposal. Thus, the NBV at the disposal date is \( \$12,800 \).

4. **Profit or Loss on Disposal**:
\( = \text{Disposal Proceeds} - \text{Net Book Value} \)
\( = \$11,500 - \$12,800 = -\$1,300 \) (Loss of \( \$1,300 \)).

1 mark for the correct option (A).

- Correct application of reducing balance depreciation for Year 1 (\( \$4,000 \)) and Year 2 (\( \$3,200 \)).
- Correct net book value at disposal: \( \$12,800 \).
- Correct deduction of net book value from disposal proceeds to determine the loss of \( \$1,300 \).

1. **Document**: When a credit customer returns goods, the seller issues a **credit note** to the customer.
2. **Book of Prime Entry**: The seller records returns from credit customers in the **sales returns journal**.
3. **Amount**: Bookkeeping transactions are recorded net of trade discount.
\( = \text{List Price} - \text{Trade Discount} \)
\( = \$800 - (15\% \times \$800) \)
\( = \$800 - \$120 = \$680 \).

Therefore, the correct combination is: Credit note, Sales returns journal, \( \$680 \).

1 mark for the correct option (A).

- Correct identification of the source document (Credit note).
- Correct identification of the book of prime entry (Sales returns journal).
- Correct calculation of the transaction value net of trade discount (\( \$680 \)).

To calculate the rent expense for the current financial year, we adjust the rent paid for opening prepayments and closing accruals:

1. **Rent paid during the year**: \( \$18,600 \)
2. **Add: Opening prepayment (1 April 2022)**: \( \$1,200 \) (as this prepayment relates to the current financial year)
3. **Add: Closing accrual (31 March 2023)**: \( \$1,500 \) (as this represents rent incurred during the current financial year but not yet paid)

\( \text{Total Rent Expense} = \$18,600 + \$1,200 + \$1,500 = \$21,300 \).

1 mark for the correct option (D).

- Correct treatment of opening prepaid rent (added to current payments).
- Correct treatment of closing accrued rent (added to current payments).
- Correct mathematical calculation to get \( \$21,300 \).

To correct this error: 1. Record the non-current asset by debiting Office Equipment with the correct amount of $1,200. 2. Remove the incorrect debit of $2,100 from the Purchases account by crediting Purchases with $2,100. 3. Adjust the account of Harrison Office Supplies. It was incorrectly credited with $2,100 instead of $1,200. To correct this, debit Harrison Office Supplies with the difference of $900 ($2,100 - $1,200). Therefore, the correcting entry is: Debit Office Equipment $1,200, Debit Harrison Office Supplies $900; Credit Purchases $2,100.

1 mark for the correct option. Accept A. Reject B, C, D.

The Cost of Production is calculated as: Prime Cost = Direct materials consumed ($45,000) + Direct wages ($30,000) + Royalties paid ($4,000) = $79,000. Cost of Production = Prime Cost ($79,000) + Factory Overheads ($18,000) + Opening Work in Progress ($6,000) - Closing Work in Progress ($8,500) = $94,500.

1 mark for the correct calculation. Accept A. Reject B, C, D.

The closing balance on X's current account is calculated as: Opening credit balance ($1,200) + Share of residual profit ($8,500) + Interest on capital ($1,500) + Annual salary ($4,000) - Drawings ($11,000) - Interest on drawings ($300) = $3,900. Since the credit adjustments ($15,200) exceed the debit adjustments ($11,300), the closing balance is a credit balance of $3,900.

1 mark for the correct calculation and credit/debit designation. Accept A. Reject B, C, D.

Credit Sales = Total Revenue - Cash sales = $240,000 - $40,000 = $200,000. Trade Receivables Turnover (days) = (Trade Receivables / Credit Sales) * 365 = ($22,000 / $200,000) * 365 = 40.15 days, which rounds to 40 days.

1 mark for the correct calculation. Accept B. Reject A, C, D.

The liquid (acid test) ratio is calculated as: (Current Assets - Inventory) / Current Liabilities. When inventory is purchased on credit, quick assets (current assets excluding inventory) remain unchanged because inventory is excluded from this calculation, but current liabilities increase (due to trade payables). Since the denominator increases while the numerator remains constant, the ratio decreases.

1 mark for the correct conceptual identification. Accept B. Reject A, C, D.

Year 1 (2021) Depreciation: 20% * $24,000 = $4,800. Net Book Value (NBV) at 31 Dec 2021 = $19,200. Year 2 (2022) Depreciation: 20% * $19,200 = $3,840. Net Book Value (NBV) at 31 Dec 2022 = $15,360. Year 3 (2023): Since no depreciation is charged in the year of disposal, the NBV remains $15,360. Loss on disposal = NBV ($15,360) - Disposal Proceeds ($14,000) = $1,360.

1 mark for the correct calculation of loss on disposal. Accept B. Reject A, C, D.

When a customer returns goods, the business issues a credit note to confirm that their debt has been reduced. This transaction is recorded in the sales returns journal (also known as the returns inwards journal) of the business.

1 mark for identifying the correct document and book of prime entry. Accept A. Reject B, C, D.

Rent expense for the year is calculated as: Rent paid ($14,800) - Rent accrued at start ($1,200) - Rent prepaid at end ($1,600) = $12,000. The opening accrual belongs to the previous financial year and the closing prepayment belongs to the next financial year, so both must be deducted from cash paid.

1 mark for correct calculation of rent expense. Accept A. Reject B, C, D.

Let's analyze the effects of correcting each error:

1. **Rent debited to electricity (\(\$150\)):** Both rent and electricity are operating expenses. Correcting this error (debiting Rent and crediting Electricity) changes individual expense balances but has no effect on total operating expenses. Since both are non-trading expenses, there is no effect on Gross Profit or Profit for the Year.

2. **Sales journal undercast (\(\$500\)):** The total of credit sales was understated. Correcting this increases credit sales by \(\$500\). This directly increases Revenue, which increases Gross Profit by \(\$500\) and consequently increases Profit for the Year by \(\$500\).

**Summary of correction effects:**
- **Gross Profit:** Increase by \(\$500\)
- **Profit for the Year:** Increase by \(\$500\)

1 mark for identifying the correct impact of both corrections on Gross Profit (increase by \(\$500\)) and Profit for the Year (increase by \(\$500\)).

The cost of production is calculated using the formula:

\(\text{Cost of Production} = \text{Prime Cost} + \text{Factory Overheads} + \text{Opening Work in Progress} - \text{Closing Work in Progress}\)

Substituting the figures:
\(\text{Cost of Production} = \$180,000 + \$65,000 + \$12,000 - \$15,500 = \$241,500\)

*Note: Finished goods inventory is used in the calculation of cost of sales, not cost of production.*

1 mark for correct calculation of cost of production by adding prime cost and factory overheads, and adjusting for the movement in Work in Progress.

To find Y's total share, we must complete the appropriation account:

1. **Profit for the year:** \(\$45,000\)
2. **Less: Salary to Y:** \(\$10,000\)
3. **Less: Interest on capital:**
- X: \(5\% \times \$60,000 = \$3,000\)
- Y: \(5\% \times \$40,000 = \$2,000\)
- Total Interest on Capital: \(\$5,000\)
4. **Residual Profit to share:** \(\$45,000 - \$10,000 - \$5,000 = \$30,000\)

5. **Share of residual profit for Y (2/5):**
- \(\text{Y's Share} = \frac{2}{5} \times \$30,000 = \$12,000\)

6. **Y's total share of profit/appropriations:**
- \(\text{Total for Y} = \text{Salary} + \text{Interest on Capital} + \text{Share of Residual Profit}\)
- \(\text{Total for Y} = \$10,000 + \$2,000 + \$12,000 = \$24,000\)

1 mark for calculating the correct total share of appropriations and residual profit for partner Y.

1. **Calculate Gross Profit:**
- \(\text{Gross Profit} = 20\% \times \$150,000 = \$30,000\)

2. **Calculate Cost of Sales:**
- \(\text{Cost of Sales} = \text{Revenue} - \text{Gross Profit}\)
- \(\text{Cost of Sales} = \$150,000 - \$30,000 = \$120,000\)

3. **Calculate Average Inventory:**
- \(\text{Average Inventory} = \frac{\text{Opening Inventory} + \text{Closing Inventory}}{2}\)
- \(\text{Average Inventory} = \frac{\$14,500 + \$15,500}{2} = \$15,000\)

4. **Calculate Rate of Inventory Turnover:**
- \(\text{Rate of Inventory Turnover} = \frac{\text{Cost of Sales}}{\text{Average Inventory}}\)
- \(\text{Rate of Inventory Turnover} = \frac{\$120,000}{\$15,000} = 8.0 \text{ times}\)

1 mark for calculating the correct rate of inventory turnover.

- **Liquid Ratio:** The formula is \(\frac{\text{Current Assets} - \text{Inventory}}{\text{Current Liabilities}}\). Purchasing inventory on credit increases Current Liabilities, but liquid assets (Current Assets excluding inventory) remain unchanged. Therefore, the liquid ratio decreases.
- **Current Ratio:** The formula is \(\frac{\text{Current Assets}}{\text{Current Liabilities}}\). The transaction increases both current assets (inventory) and current liabilities (trade payables) by the same amount. Since the initial ratio was greater than 1:1 (specifically 1.5:1), adding equal amounts to the numerator and denominator decreases the overall ratio.

1 mark for identifying that both the liquid ratio and current ratio decrease.

1. **Depreciation for Year 1 (2021):**
- \(20\% \times \$24,000 = \$4,800\)
- Net Book Value (NBV) at 31 Dec 2021: \(\$24,000 - \$4,800 = \$19,200\)

2. **Depreciation for Year 2 (2022):**
- \(20\% \times \$19,200 = \$3,840\)
- NBV at 31 Dec 2022: \(\$19,200 - \$3,840 = \$15,360\)

3. **Depreciation for Year 3 (2023 - Disposal Year):**
- No depreciation is charged in the year of disposal. Thus, the carrying value remains \(\$15,360\) at the date of sale.

4. **Profit or Loss on Disposal:**
- \(\text{Disposal Proceeds} - \text{Net Book Value}\)
- \(\$14,000 - \$15,360 = -\$1,360\) (a loss of \(\$1,360\))

1 mark for calculating the correct carrying value of \(\$15,360\) and resulting loss on disposal of \(\$1,360\).

Inventory must be valued at the lower of cost and net realizable value (NRV) for each product line separately.

- **Product X:**
- Cost = \(\$8.00\)
- \(\text{NRV} = \text{Estimated selling price} - \text{Selling expenses} = \$10.00 - \$1.50 = \$8.50\)
- Lower value = \(\$8.00\) (Cost)
- Valuation = \(100 \text{ units} \times \$8.00 = \$800\)

- **Product Y:**
- Cost = \(\$12.00\)
- \(\text{NRV} = \$15.00 - \$4.00 = \$11.00\)
- Lower value = \(\$11.00\) (NRV)
- Valuation = \(200 \text{ units} \times \$11.00 = \$2,200\)

- **Product Z:**
- Cost = \(\$15.00\)
- \(\text{NRV} = \$14.00 - \$1.00 = \$13.00\)
- Lower value = \(\$13.00\) (NRV)
- Valuation = \(150 \text{ units} \times \$13.00 = \$1,950\)

- **Total Valuation:**
- \(\text{Total} = \$800 + \$2,200 + \$1,950 = \$4,950\)

1 mark for correctly applying the lower of cost and NRV rule to each product line to get a total of \(\$4,950\).

- **Error 1 (Purchases journal undercast by \(\$300\)):** The purchases journal is a book of prime entry. Since its total was undercast, the incorrect total was posted to the credit of the purchases ledger control account. This must be corrected in the control account by **adding \(\$300\)**.
- **Error 2 (Payment not posted to supplier's individual account):** Because the payment was correctly entered in the cash book (a book of prime entry), the control account is already updated with the correct cash total. This error only affected the individual subsidiary ledger account, which does not affect the control account. Hence, **no adjustment** is needed in the control account.

1 mark for identifying that only the undercast purchases journal error requires adjustment in the control account (Add \(\$300\) only).

To find the correct profit, we make the following adjustments to the draft profit:

\( \text{Draft profit} = \$34,200 \)
\( \text{Less: Omitted cash purchases} = -\$850 \) (this expense reduces profit)
\( \text{Add: Overstated telephone expenses (recorded twice)} = +\$320 \) (reversing the duplicate expense increases profit)

\( \text{Correct profit} = \$34,200 - \$850 + \$320 = \$33,670 \)

1 mark for the correct option B.

The calculation for the cost of production is as follows:

\( \text{Prime Cost} = \text{Direct Materials Consumed} + \text{Direct Wages} = \$68,500 + \$42,000 = \$110,500 \)
\( \text{Total Factory Cost} = \text{Prime Cost} + \text{Factory Overheads} = \$110,500 + \$29,300 = \$139,800 \)
\( \text{Cost of Production} = \text{Total Factory Cost} + \text{Opening Work in Progress} - \text{Closing Work in Progress} = \$139,800 + \$12,400 - \$14,100 = \$138,100 \)

1 mark for the correct option B.

First, calculate the total appropriations from profit:

1. Interest on Capital:
- Xavier: \( 5\% \times \$80,000 = \$4,000 \)
- Yasmin: \( 5\% \times \$60,000 = \$3,000 \)
Total Interest on Capital = \( \$7,000 \)

2. Salary to Yasmin = \( \$12,000 \)

3. Residual Profit = \( \text{Profit} - \text{Interest on Capital} - \text{Salary} = \$54,000 - \$7,000 - \$12,000 = \$35,000 \)

4. Xavier's share of residual profit (3/5 of total) = \( \$35,000 \times \frac{3}{5} = \$21,000 \)

1 mark for the correct option B.

1. Calculate Gross Profit: \( 25\% \times \$240,000 = \$60,000 \)
2. Calculate Cost of Sales: \( \text{Revenue} - \text{Gross Profit} = \$240,000 - \$60,000 = \$180,000 \)
3. Calculate Average Inventory: \( \frac{\$16,000 + \$20,000}{2} = \$18,000 \)
4. Calculate Rate of Inventory Turnover: \( \frac{\text{Cost of Sales}}{\text{Average Inventory}} = \frac{\$180,000}{\$18,000} = 10 \text{ times} \)

1 mark for the correct option B.

The liquid (acid test) ratio is defined as \( \frac{\text{Current Assets} - \text{Inventory}}{\text{Current Liabilities}} \), and the current ratio is \( \frac{\text{Current Assets}}{\text{Current Liabilities}} \).

When cash is used to purchase inventory:
- Total current assets remain unchanged because cash (a current asset) decreases and inventory (another current asset) increases by the exact same amount. Thus, the current ratio stays constant.
- However, liquid assets (current assets minus inventory) decrease because cash has been replaced by inventory, which is excluded from liquid assets. This causes the liquid ratio to decrease.

1 mark for the correct option B.

1. Calculate Net Book Value (NBV) at the date of disposal:
- Cost (1 Jan 2021): \( \$24,000 \)
- Depreciation 2021: \( 20\% \times \$24,000 = \$4,800 \)
- NBV (31 Dec 2021): \( \$24,000 - \$4,800 = \$19,200 \)
- Depreciation 2022: \( 20\% \times \$19,200 = \$3,840 \)
- NBV (31 Dec 2022): \( \$19,200 - \$3,840 = \$15,360 \)
- Year 2023 (disposal year): No depreciation is charged per policy, so NBV at disposal remains \( \$15,360 \).

2. Calculate profit or loss on disposal:
- Disposal Proceeds: \( \$14,500 \)
- Net Book Value: \( \$15,360 \)
- Loss on disposal: \( \$15,360 - \$14,500 = \$860 \)

1 mark for the correct option A.

When a business buys goods on credit, the supplier issues an invoice which is received by the business (Invoice received). The prime book used to compile these transactions is the Purchases journal. Note that the purchases ledger is a ledger where individual personal accounts of trade payables are kept, and not a book of prime entry.

1 mark for the correct option A.

The calculation using the Rent Receivable T-account is:

\( \text{Income transferred to Profit or Loss} = \text{Cash received} - \text{Opening balance (arrears)} - \text{Closing balance (advance)} \)
\( \text{Income transferred} = \$11,400 - \$900 - \$1,200 = \$9,300 \)

Alternatively, as a ledger account:

**Rent Receivable Account**
- Debit side:
- Balance b/d (Opening Arrears): \( \$900 \)
- Income Statement (transfer): \( \$9,300 \) (balancing figure)
- Balance c/d (Closing Advance): \( \$1,200 \)
- Total: \( \$11,400 \)
- Credit side:
- Cash/Bank: \( \$11,400 \)
- Total: \( \$11,400 \)

1 mark for the correct option A.

1. **Determine opening balance of suspense account:**
Debit total = $142,500; Credit total = $144,200. The debit side is short by $1,700. Thus, the suspense account has an opening debit balance of $1,700.

2. **Analyze the errors:**
- **Error 1:** J. Patel's account was credited $540 instead of $450. To correct: Debit J. Patel $90, Credit Suspense $90.
- **Error 2:** Error of principle (revenue expenditure treated as capital expenditure). Correcting entry: Debit Motor Expenses, Credit Motor Vehicles. This does not affect the trial balance agreement, so no suspense account entry is required.
- **Error 3:** Error of omission. Correcting entry: Debit Customer, Credit Sales. This does not affect the trial balance agreement, so no suspense account entry is required.
- **Error 4:** Rent debited as $210 instead of $120. Correcting entry: Credit Rent $90, Debit Suspense $90.

3. **Calculate the remaining balance on the suspense account:**
Opening Balance: $1,700 (Debit)
Adjustment 1: Less $90 (Credit)
Adjustment 4: Add $90 (Debit)
Remaining Balance: $1,700 (Debit)

Award 1 mark for option B. Method: Determine opening balance of $1,700 debit. Correctly identify that Error 1 credits suspense by $90 and Error 4 debits suspense by $90, leaving the net balance unchanged at $1,700 debit.

1. **Calculate total interest on drawings:**
- Xavier: $12,000 \times 10\% = $1,200
- Yasmin: $15,000 \times 10\% = $1,500
Total interest on drawings = $2,700.

2. **Calculate total interest on capital:**
- Xavier: $60,000 \times 5\% = $3,000
- Yasmin: $40,000 \times 5\% = $2,000
Total interest on capital = $5,000.

3. **Calculate residual profit:**
Profit for the year before appropriation: $45,000
Add: Interest on drawings: $2,700
Less: Interest on capital: ($5,000)
Less: Yasmin's salary: ($8,000)
Residual profit = $45,000 + $2,700 - $5,000 - $8,000 = $34,700.

4. **Calculate Yasmin's share of residual profit (2/5 of residual profit):**
$34,700 \times \frac{2}{5} = $13,880.

Award 1 mark for option C. Method: Calculate residual profit of $34,700 and apply the ratio 2/5 to get Yasmin's share of $13,880.

1. **Calculate average inventory:**
Average inventory = \frac{$22,000 + $26,000}{2} = $24,000.

2. **Calculate cost of sales using gross profit margin:**
Since gross profit margin is 30%, cost of sales is 70% of revenue.
Cost of sales = 70\% \times $240,000 = $168,000.

3. **Calculate rate of inventory turnover:**
Rate of inventory turnover = \frac{\text{Cost of sales}}{\text{Average inventory}} = \frac{$168,000}{$24,000} = 7 \text{ times}.

Award 1 mark for option B. Method: Cost of sales is $168,000 and average inventory is $24,000. Rate of inventory turnover = $168,000 / $24,000 = 7 times.

(a) Journal Entries:
1. Equipment Dr $1,200, Repairs Cr $1,200.
2. Suspense Dr $350, Sales Cr $350.
3. M. Shafi Dr $450, M. Sharaf Cr $450.
4. Suspense Dr $540, Discount Received Cr $540.
5. Purchases Dr $180, Suspense Cr $180.

(b) Suspense Account:
Debit Side:
- 31 Dec: Sales $350
- 31 Dec: Discount Received $540
Total Debit = $890

Credit Side:
- 31 Dec: Difference on Trial Balance (Opening balance) $710
- 31 Dec: Purchases $180
Total Credit = $890

(c) Effect on Profit:
- Error 1: Increase profit by $1,200 (repaired expense overstated)
- Error 2: Increase profit by $350 (sales revenue omitted)
- Error 3: No effect on profit
- Error 4: Increase profit by $540 (discount received corrected)
- Error 5: Decrease profit by $180 (purchases expense understated)

Calculation of Revised Profit:
\( \text{Draft profit} = \$12,400 \)
\( \text{Add: Error 1} = +\$1,200 \)
\( \text{Add: Error 2} = +\$350 \)
\( \text{Add: Error 4} = +\$540 \)
\( \text{Less: Error 5} = -\$180 \)
\( \text{Revised profit} = 12,400 + 1,200 + 350 + 540 - 180 = \$14,310 \)

(a) Journal Entries [10 marks]:
- Error 1: Dr Equipment $1,200 (1), Cr Repairs $1,200 (1)
- Error 2: Dr Suspense $350 (1), Cr Sales $350 (1)
- Error 3: Dr M. Shafi $450 (1), Cr M. Sharaf $450 (1)
- Error 4: Dr Suspense $540 (1), Cr Discount Received $540 (1)
- Error 5: Dr Purchases $180 (1), Cr Suspense $180 (1)

(b) Suspense Account [5 marks]:
- Opening balance $710 on Credit side (1)
- Sales $350 on Debit side (1)
- Discount Received $540 on Debit side (1)
- Purchases $180 on Credit side (1)
- Balance and matching totals of $890 (1)

(c) Effect on Profit & Revised Profit [5 marks]:
- Error 1: Increase by $1,200 (1)
- Error 2: Increase by $350 (1)
- Error 4: Increase by $540 (1)
- Error 5: Decrease by $180 (1)
- Final revised profit calculation: $14,310 (1)

(a) Cost of raw materials consumed:
\( \text{Opening inventory of raw materials} = \$18,400 \)
\( \text{Add: Purchases} = \$142,500 \)
\( \text{Add: Carriage inwards} = \$3,200 \)
\( \text{Less: Closing inventory of raw materials} = (\$16,900) \)
\( \text{Cost of raw materials consumed} = 18,400 + 142,500 + 3,200 - 16,900 = \$147,200 \)

(b) Manufacturing Account for the year ended 30 June 2023:
- Raw materials consumed: $147,200
- Direct factory wages: \( \$86,400 + \$2,600 \text{ (accrued)} = \$89,000 \)
- Direct royalties: $4,500
- PRIME COST: \( 147,200 + 89,000 + 4,500 = \$240,700 \)

Factory Overheads:
- Factory supervisor's salary: $28,000
- Rent and rates: \( (\$36,000 - \$3,000 \text{ prepaid}) \times 80\% = \$26,400 \)
- Insurance: \( \$12,000 \times 75\% = \$9,000 \)
- Depreciation of factory machinery: $15,800
Total Overheads = \( 28,000 + 26,400 + 9,000 + 15,800 = \$79,200 \)

Work in Progress adjustments:
- Total manufacturing costs: \( \$240,700 + \$79,200 = \$319,900 \)
- Add: Opening Work in Progress: $11,200
- Less: Closing Work in Progress: ($12,600)
- COST OF PRODUCTION: \( 319,900 + 11,200 - 12,600 = \$318,500 \)

(c) Factory cost per unit:
\( \text{Cost of production} / \text{Units manufactured} = \$318,500 / 12,500 = \$25.48 \text{ per bracket} \)

(a) Cost of raw materials consumed [4 marks]:
- Opening inventory (1)
- Purchases + Carriage inwards (1)
- Less closing inventory (1)
- Correct answer: $147,200 (1)

(b) Manufacturing Account [13 marks]:
- Prime Cost items:
- Direct wages adjusted to $89,000 (2)
- Royalties $4,500 (1)
- Correct Prime Cost: $240,700 (1 for formula/arriving at correct sum)
- Overheads items:
- Supervisor's salary $28,000 (1)
- Rent and rates adjusted and apportioned $26,400 (2)
- Insurance apportioned $9,000 (1)
- Depreciation $15,800 (1)
- Work in Progress adjustment:
- Opening WIP added (1)
- Closing WIP subtracted (1)
- Correct Cost of Production: $318,500 (2)

(c) Factory cost per unit [3 marks]:
- Formula usage (Cost of Production / 12,500) (1)
- Applied figures correctly (1)
- Correct final answer: $25.48 (1)

(a) Partnership Appropriation Account for the year ended 31 December 2023:
Profit for the year: $78,500
Add: Interest on drawings:
- Ava: $1,440
- Ben: $1,760
Total Interest on drawings = $3,200
Total to appropriate = \( 78,500 + 3,200 = \$81,700 \)

Less: Salary (Ava): $15,000
Less: Interest on capital:
- Ava: \( 5\% \times 120,000 = \$6,000 \)
- Ben: \( 5\% \times 80,000 = \$4,000 \)
Total Interest on capital = $10,000

Residual profit to share: \( 81,700 - 15,000 - 10,000 = \$56,700 \)
- Share of profit Ava (60%): \( \$56,700 \times 0.60 = \$34,020 \)
- Share of profit Ben (40%): \( \$56,700 \times 0.40 = \$22,680 \)

(b) Ben's Current Account:
Debit Side:
- 1 Jan 2023: Balance b/d $1,500
- 31 Dec 2023: Drawings $22,000
- 31 Dec 2023: Interest on drawings $1,760
- 31 Dec 2023: Balance c/d $1,420
Total Debit = $26,680

Credit Side:
- 31 Dec 2023: Interest on capital $4,000
- 31 Dec 2023: Share of profit $22,680
Total Credit = $26,680

- 1 Jan 2024: Balance b/d $1,420 (Credit)

(a) Partnership Appropriation Account [10 marks]:
- Profit for the year $78,500 (1)
- Interest on drawings added correctly (both Ava $1,440 and Ben $1,760) (2)
- Ava's salary $15,000 subtracted (1)
- Interest on Capital calculated and subtracted (Ava $6,000 (1), Ben $4,000 (1))
- Residual profit of $56,700 correctly identified (1)
- Correct profit share allocation (Ava $34,020 (1), Ben $22,680 (2))

(b) Ben's Current Account [10 marks]:
- Opening Debit Balance $1,500 (1)
- Drawings $22,000 on Debit side (1)
- Interest on drawings $1,760 on Debit side (1)
- Interest on capital $4,000 on Credit side (2)
- Share of profit $22,680 on Credit side (2)
- Balance c/d $1,420 calculated on Debit side (1)
- Account totals of $26,680 shown on both sides (1)
- Balance b/d $1,420 brought down on Credit side on 1 Jan 2024 (1)

(a) Calculations:
1. Gross profit margin:
\( \text{Gross profit} = \text{Revenue} - \text{Cost of sales} = 480,000 - 320,000 = \$160,000 \)
\( \text{Gross profit margin} = (\$160,000 / \$480,000) \times 100 = 33.33\% \)

2. Profit margin:
\( \text{Profit margin} = (\$38,400 / \$480,000) \times 100 = 8.00\% \)

3. Rate of inventory turnover:
\( \text{Average inventory} = (\$36,000 + \$44,000) / 2 = \$40,000 \)
\( \text{Rate of inventory turnover} = \text{Cost of sales} / \text{Average inventory} = \$320,000 / \$40,000 = 8.00 \text{ times} \)

4. Liquid (acid test) ratio:
\( \text{Current Assets excluding Inventory} = \text{Trade receivables} + \text{Cash} = 45,000 + 1,200 = \$46,200 \)
\( \text{Current Liabilities} = \text{Trade payables} + \text{Bank overdraft} = 35,000 + 8,000 = \$43,000 \)
\( \text{Liquid ratio} = \$46,200 / \$43,000 = 1.07 : 1 \)

5. Trade receivables turnover period:
\( \text{Credit sales} = 75\% \times \$480,000 = \$360,000 \)
\( \text{Trade receivables turnover period} = (\$45,000 / \$360,000) \times 365 = 45.63 \text{ days} \) (accept 45.625 or 46 days)

(b) Difference:
The current ratio includes inventory in the current assets, whereas the liquid (acid test) ratio excludes inventory. The liquid ratio is the more reliable measure of short-term liquidity because inventory can take a long time to be sold and turned into cash.

(a) Calculations [18 marks]:
1. Gross profit margin [3 marks]:
- Correct Gross Profit of $160,000 (1)
- Formula of (Gross Profit / Revenue) * 100 (1)
- Correct answer: 33.33% (1)
2. Profit margin [3 marks]:
- Formula of (Profit for the year / Revenue) * 100 (1)
- Application of numbers (1)
- Correct answer: 8.00% (1)
3. Rate of inventory turnover [4 marks]:
- Average inventory calculation of $40,000 (1)
- Formula of Cost of Sales / Average Inventory (1)
- Application of numbers (1)
- Correct answer: 8.00 times (1)
4. Liquid (acid test) ratio [4 marks]:
- Current liabilities calculation of $43,000 (1)
- Liquid assets calculation of $46,200 (1)
- Ratio calculation formula (1)
- Correct answer: 1.07 : 1 (1)
5. Trade receivables turnover period [4 marks]:
- Credit sales calculation of $360,000 (1)
- Formula (Trade Receivables / Credit Sales) * 365 (1)
- Application of numbers (1)
- Correct answer: 45.63 days (or 46 days) (1)

(b) Explanation [2 marks]:
- Difference: Liquid ratio excludes inventory, current ratio includes it (1)
- More reliable: Liquid ratio is more reliable because inventory can be slow-moving or hard to realize (1)

(a) Depreciation charge for Vehicle A:
- Year ended 31 Dec 2021: \( \$24,000 \times 20\% = \$4,800 \)
- Year ended 31 Dec 2022: \( (\$24,000 - \$4,800) \times 20\% = \$19,200 \times 20\% = \$3,840 \)

(b) Provision for Depreciation of Vehicles Account:
Year ended 31 Dec 2021:
- Debit side:
- 31 Dec: Balance c/d $4,800
- Credit side:
- 31 Dec: Income Statement (Vehicle A) $4,800

Year ended 31 Dec 2022:
- Debit side:
- 31 Dec: Balance c/d $14,640
- Credit side:
- 1 Jan: Balance b/d $4,800
- 31 Dec: Income Statement ($3,840 [A] + $6,000 [B]) $9,840 (Note: Vehicle B depreciation = \( \$30,000 \times 20\% = \$6,000 \))

Year ended 31 Dec 2023:
- Debit side:
- 30 Sept: Disposal Account (Vehicle A accumulated depreciation: 4,800 + 3,840) $8,640
- 31 Dec: Balance c/d $10,800
- Credit side:
- 1 Jan: Balance b/d $14,640
- 31 Dec: Income Statement (Vehicle B: \( [\$30,000 - \$6,000] \times 20\% \)) $4,800

(c) Disposal of Vehicles Account:
- Debit side:
- 30 Sept: Vehicles Account (Cost of A) $24,000
- Credit side:
- 30 Sept: Provision for Depreciation $8,640
- 30 Sept: Bank (Cash proceeds) $14,500
- 31 Dec: Income Statement (Loss on disposal) $860
Total Debit/Credit = $24,000

(a) Depreciation calculations [4 marks]:
- 2021: $4,800 (2)
- 2022: $3,840 (2)

(b) Provision for Depreciation of Vehicles Account [10 marks]:
- 2021 Credit entry $4,800 (1) and balance c/d & b/d (1)
- 2022 Depreciation on Vehicle B calculated at $6,000 (1)
- 2022 Credit entry $9,840 (1) and balance c/d $14,640 (1)
- 2023 Debit transfer of accumulated depreciation of Vehicle A $8,640 to disposal (2)
- 2023 Credit entry for Vehicle B depreciation $4,800 (1)
- 2023 Balance c/d $10,800 (1)
- Correct balancing and ledger formatting (1)

(c) Disposal Account [6 marks]:
- Debit side: Vehicles Cost $24,000 (1)
- Credit side: Provision for Depreciation $8,640 (1)
- Credit side: Bank/Cash proceeds $14,500 (1)
- Credit side: Income Statement (Loss on disposal) $860 (2)
- Ledger balances correctly at $24,000 on both sides (1)