Secondary 4 Business, Accounting and Financial Studies Practice Paper: accounting equation and double entry, income statement, balance sheet adjustments, depreciation and inventory valuation, ratio analysis, cost classification and break-even (100 marks)
- 2026-11-14
S4 BAFS practice paper: 24 questions with worked answers on the accounting equation, double entry, income statement, adjustments, depreciation, inventory, ratios.
Section A – Accounting equation and double entry (16 marks)
Study the information given and answer all questions.
| # | Question | Answer and marking notes |
|---|---|---|
| 1 | At the year end the total assets of a business are $486,000 and total liabilities are $173,000. Use the accounting equation to calculate capital and explain the role of the equation when preparing a balance sheet. | Capital = assets – liabilities = $486,000 – $173,000 = $313,000. The accounting equation (assets = liabilities + capital) guarantees that both sides of the balance sheet agree; assets are listed on one side and liabilities plus capital on the other, the difference being capital. (1 mark working; 1 mark answer with unit; 2 marks explanation) |
| 2 | During the year the business (i) bought equipment on credit for $42,000 and (ii) the owner withdrew cash of $15,000. State the effect of each transaction on assets, liabilities and capital, and verify that the accounting equation still holds. | (i) Equipment bought on credit: assets +$42,000 (equipment), liabilities +$42,000 (accounts payable), capital unchanged. (ii) Owner withdrawal: assets -$15,000 (cash), capital -$15,000, liabilities unchanged. Net change in assets $27,000 equals change in liabilities $42,000 plus change in capital (-$15,000) = $27,000, so the equation holds. (1.5 marks per transaction; 1 mark verification) |
| 3 | When a trial balance was prepared the debit column totalled $268,400 and the credit column totalled $262,400. Calculate the difference and state two possible causes of the imbalance. | Difference = $268,400 – $262,400 = $6,000. Possible causes: (i) a transaction was entered on the debit side only, so the credit entry is missing; (ii) a posting error in amount, for example $6,900 recorded as $6,000; (iii) an account balance was copied wrongly or omitted from the trial balance. (2 marks difference; 1 mark per cause, any two) |
| 4 | A business sold goods on credit for $28,000. Write the double entry and explain why every transaction affects at least two accounts. | Dr Accounts receivable $28,000; Cr Sales revenue $28,000. Each transaction is an exchange: the business gains an asset (a receivable) and at the same time earns revenue that increases capital, so two or more accounts must be recorded together, keeping total debits equal to total credits. (2 marks entries; 2 marks explanation) |
Section B – Preparing the income statement (17 marks)
The following data relate to a service business for the year. Answer all questions.
| # | Question | Answer and marking notes |
|---|---|---|
| 5 | Service revenue $620,000; rent $96,000, wages $210,000, utilities $24,000, sundry expenses $18,000. Prepare the income statement for the year and calculate net profit. | Service revenue $620,000 less total expenses $348,000 (rent $96,000 + wages $210,000 + utilities $24,000 + sundry $18,000) = net profit $272,000. (1 mark revenue; 0.5 mark each expense; 1 mark subtotal; 2 marks net profit) |
| 6 | If the business were a trading business with sales $800,000 and cost of goods sold $480,000, calculate the gross profit and the gross profit ratio. | Gross profit = sales – cost of goods sold = $800,000 – $480,000 = $320,000; gross profit ratio = $320,000 / $800,000 x 100% = 40.0%. (2 marks gross profit; 2 marks ratio with working) |
| 7 | Continuing from the previous question, operating expenses are $128,000. Calculate the net profit and the net profit ratio, and comment on the gap between the gross and net profit ratios. | Net profit = $320,000 – $128,000 = $192,000; net profit ratio = $192,000 / $800,000 x 100% = 24.0%. The gap is 40.0% – 24.0% = 16.0 percentage points, meaning $16.0 of every $100 of sales is absorbed by operating expenses. (2 marks net profit; 1.5 marks ratio; 1.5 marks comment) |
| 8 | Calculate the operating expense ratio and explain how management can use it to assess cost control. | Operating expense ratio = $128,000 / $800,000 x 100% = 16.0%. Management can compare it with prior years and with competitors: a falling ratio means less expense per dollar of sales, while a rising ratio calls for checking each item such as rent and wages against the growth in sales. (2 marks ratio; 2 marks analysis) |
Section C – Balance sheet and year-end adjustments (17 marks)
The year end of a business is 31 December. Deal with each adjustment.
| # | Question | Answer and marking notes |
|---|---|---|
| 9 | On 1 October the business paid twelve months of rent, $96,000, and debited rent expense. Calculate the adjustment needed at the year end and write the adjusting entry. | Three months (1 October to 31 December) have been used: $96,000 x 3/12 = $24,000; nine months are prepaid: $96,000 x 9/12 = $72,000. Entry: Dr Prepaid rent $72,000; Cr Rent expense $72,000. Rent expense becomes $24,000 and prepaid rent $72,000 appears as an asset. (2 marks calculation; 0.5 mark each side of the entry; 1 mark adjusted figures) |
| 10 | At the year end $3,600 of electricity charges are unpaid. If profit before adjustment is $272,000, calculate the effect of this adjustment and the adjusted net profit. | Unpaid electricity is an accrued expense: Dr Electricity $3,600; Cr Accrued expenses $3,600. The extra expense reduces net profit by $3,600, so adjusted net profit = $272,000 – $3,600 = $268,400. Without the adjustment profit is overstated and liabilities understated. (1.5 marks entry; 1 mark effect; 1.5 marks adjusted profit) |
| 11 | Services worth $8,400 had been provided but not yet billed. Write the adjusting entry and calculate the net profit after both adjustments above. | Dr Accrued revenue $8,400; Cr Service revenue $8,400. Net profit = $268,400 + $8,400 = $276,800. Accrued revenue is an asset and also increases current income, which is consistent with the accrual basis. (2 marks entry; 2 marks net profit) |
| 12 | Year-end data: cash $120,000, accrued revenue $8,400, prepaid rent $72,000, net book value of equipment $132,000, accrued expenses $3,600, bank loan $120,000. Prepare the balance sheet and calculate capital. | Total assets = $120,000 + $8,400 + $72,000 + $132,000 = $332,400; total liabilities = $3,600 + $120,000 = $123,600; capital = $332,400 – $123,600 = $208,800. Common errors include treating prepaid rent as an expense, omitting accrued expenses from current liabilities, or failing to check assets equal liabilities plus capital. (2 marks assets; 1 mark liabilities; 1 mark capital; 1 mark check) |
Section D – Depreciation and inventory valuation (16 marks)
A business owns equipment and holds inventory. Answer all questions.
| # | Question | Answer and marking notes |
|---|---|---|
| 13 | Equipment costs $240,000, has an estimated residual value of $24,000 and a useful life of 6 years. Using the straight-line method, calculate the annual depreciation, the accumulated depreciation after three years and the net book value then. | Annual depreciation = ($240,000 – $24,000) / 6 = $36,000; accumulated depreciation after three years = $36,000 x 3 = $108,000; net book value = $240,000 – $108,000 = $132,000. (2 marks annual charge; 1 mark accumulated; 1 mark net book value) |
| 14 | If the reducing-balance method is used at 25% of net book value each year, calculate the depreciation for the first two years and the net book value after two years, and explain why the first-year charge differs from the straight-line method. | Year 1 = $240,000 x 25% = $60,000; year 2 = ($240,000 – $60,000) x 25% = $45,000; net book value = $240,000 – $60,000 – $45,000 = $135,000. The reducing-balance method applies the rate to a shrinking net book value, so the charge is higher in early years, whereas the straight-line method spreads the depreciable amount evenly at $36,000 a year. (1 mark each year; 1 mark net book value; 1 mark explanation) |
| 15 | Inventory: opening 100 units at $20 each; purchases of 200 units at $22 each and 300 units at $24 each. 450 units were sold. Using FIFO, calculate the closing inventory cost and the cost of goods sold. | 600 units were available at a total cost of $13,600; the 150 closing units all come from the last purchase, so closing inventory = 150 x $24 = $3,600; cost of goods sold = $13,600 – $3,600 = $10,000. (1 mark units and total cost; 2 marks closing inventory; 1 mark cost of goods sold) |
| 16 | Using the same data, apply the weighted average method: calculate the average unit cost, closing inventory and cost of goods sold, and compare the effect of the two methods on this year profit. | Average unit cost = $13,600 / 600 = $22.67; closing inventory = 150 x $22.67 = $3,400; cost of goods sold = $13,600 – $3,400 = $10,200. The two methods differ by $200 in cost of goods sold, so when prices rise FIFO gives a higher closing inventory, lower cost of goods sold and therefore higher profit. (1 mark average cost; 1 mark closing inventory; 1 mark cost of goods sold; 1 mark comparison) |
Section E – Ratio analysis (17 marks)
Selected year-end data of a business are given below. Answer all questions.
| # | Question | Answer and marking notes |
|---|---|---|
| 17 | Current assets are cash $60,000, accounts receivable $192,000 and inventory $96,000; current liabilities are $145,000. Calculate the current ratio and comment on short-term liquidity. | Current assets = $60,000 + $192,000 + $96,000 = $348,000; current ratio = $348,000 / $145,000 = 2.4:1. A ratio above 2 suggests each $1 of current liabilities is covered by $2.4 of current assets, but because inventory is a large part of it, realisable value could be lower if stock moves slowly. (1 mark current assets; 2 marks ratio; 1 mark comment) |
| 18 | Calculate the quick ratio and explain why a bank looks at both the current and the quick ratio when approving a short-term loan. | Quick assets = $348,000 – $96,000 = $252,000; quick ratio = $252,000 / $145,000 = 1.74:1. The quick ratio excludes inventory and shows liquidity without relying on selling stock; comparing it with the current ratio tells whether a high current ratio comes from cash or from slow-moving inventory, which is what a bank needs to judge repayment risk. (1 mark quick assets; 1.5 marks ratio; 1.5 marks explanation) |
| 19 | Total liabilities are $320,000 and total assets $640,000. Calculate the debt ratio and explain the risk of a rising ratio. | Debt ratio = $320,000 / $640,000 x 100% = 50.0%; capital = $640,000 – $320,000 = $320,000, so half of the assets are financed by borrowing. A rising ratio means heavier interest and repayment obligations, so default risk and financial leverage risk grow when interest rates rise or profit falls. (2 marks ratio; 1 mark capital; 1 mark risk) |
| 20 | Cost of goods sold is $480,000 and average inventory $80,000. Calculate inventory turnover and inventory days, and suggest two ways to speed up turnover. | Inventory turnover = $480,000 / $80,000 = 6.0 times; inventory days = 365 / 6.0 = 60.8 days. Measures: (i) buy in smaller batches based on the sales forecast; (ii) discount or return slow-moving stock; (iii) tighten purchase approval so only fast-moving lines are bought. (1.5 marks turnover; 1.5 marks days; 1 mark per measure) |
Section F – Cost classification and break-even (17 marks)
A product sells for $75 per unit, variable cost is $45 per unit and annual fixed cost is $180000.
| # | Question | Answer and marking notes |
|---|---|---|
| 21 | Calculate the contribution per unit, the contribution margin ratio and the break-even quantity. | Contribution per unit = $75 – $45 = $30; contribution margin ratio = $30 / $75 x 100% = 40.0%; break-even quantity = fixed cost / contribution per unit = $180,000 / $30 = 6,000 units. At that volume revenue $6,000 x $75 = $450,000 exactly covers total cost. (1 mark contribution; 1 mark ratio; 2 marks break-even) |
| 22 | If 7,000 units are actually sold, calculate the profit and explain how fixed cost is recovered first under the contribution approach. | Total contribution = 7,000 x $30 = $210,000; profit = $210,000 – $180,000 = $30,000. The contribution from the first 6,000 units, $180,000, exactly covers the fixed cost of $180,000; every extra unit then adds $30 to profit. (1.5 marks total contribution; 1.5 marks profit; 1 mark explanation) |
| 23 | Calculate the margin of safety as a percentage and explain what a low margin of safety means for the manager. | Margin of safety = (7,000 – 6,000) / 7,000 x 100% = 14.3%. With only 14.3% cushion, a fall of about 1,001 units turns the business into a loss, so the manager must watch demand swings, price competition and rising fixed costs. (2 marks calculation; 2 marks explanation) |
| 24 | If the price is cut to $72 with variable cost unchanged, calculate the new contribution per unit and the new break-even quantity, and comment on the risk of a price-cutting strategy. | New contribution = $72 – $45 = $27; new break-even = $180,000 / $27 = about 6,667 units, which is 667 units more than before. The contribution falls from $30 to $27 per unit, so sales must rise enough to cover the higher volume; otherwise profit falls, and a price war may also damage the brand. (1.5 marks contribution; 1.5 marks break-even; 2 marks comment) |
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