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Secondary 4 Principles of Accounts Ratios Analysis Quiz

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Secondary 4 Principles of Accounts Quiz - Ratios Analysis

ANSWER KEY AND MARKING SCHEME

Total Marks: 50


Section A: Calculation (Questions 1–5)

10 marks


1. Calculate the gross profit margin. (2 marks)

Answer: Gross Profit = Revenue − Cost of Sales = 240,000240,000 − 156,000 = $84,000

Gross Profit Margin = (Gross Profit ÷ Revenue) × 100% = (84,000÷84,000 ÷ 240,000) × 100% = 35.00%

Gross Profit Margin: 35.00%

Marking:

  • 1 mark for correct calculation of gross profit ($84,000)
  • 1 mark for correct gross profit margin (35.00%)
  • Accept 35% if workings shown correctly

2. Calculate the net profit margin. (2 marks)

Answer: Net Profit = Gross Profit − Operating Expenses = 84,00084,000 − 48,000 = $36,000

Net Profit Margin = (Net Profit ÷ Revenue) × 100% = (36,000÷36,000 ÷ 240,000) × 100% = 15.00%

Net Profit Margin: 15.00%

Marking:

  • 1 mark for correct calculation of net profit ($36,000)
  • 1 mark for correct net profit margin (15.00%)
  • Accept 15% if workings shown correctly

3. Calculate the current ratio. (2 marks)

Answer: Current Assets = Inventory + Trade Receivables + Cash at Bank = 18,000+18,000 + 24,000 + 8,000=8,000 = 50,000

Current Liabilities = Trade Payables + Bank Overdraft = 15,000+15,000 + 5,000 = $20,000

Current Ratio = Current Assets ÷ Current Liabilities = 50,000÷50,000 ÷ 20,000 = 2.50 : 1

Current Ratio: 2.50 : 1

Marking:

  • 1 mark for correct identification of current assets (50,000)andcurrentliabilities(50,000) and current liabilities (20,000)
  • 1 mark for correct ratio (2.50:1)
  • Accept 2.5:1

4. Calculate the quick ratio (acid test ratio). (2 marks)

Answer: Quick Assets = Current Assets − Inventory = 50,00050,000 − 18,000 = $32,000

Quick Ratio = Quick Assets ÷ Current Liabilities = 32,000÷32,000 ÷ 20,000 = 1.60 : 1

Quick Ratio: 1.60 : 1

Marking:

  • 1 mark for correct calculation of quick assets ($32,000)
  • 1 mark for correct ratio (1.60:1)
  • Accept 1.6:1

5. Calculate the inventory turnover rate. (2 marks)

Answer: Cost of Sales = Opening Inventory + Purchases − Closing Inventory = 12,000+12,000 + 85,000 − 15,000=15,000 = 82,000

Average Inventory = (Opening Inventory + Closing Inventory) ÷ 2 = (12,000+12,000 + 15,000) ÷ 2 = $13,500

Inventory Turnover Rate = Cost of Sales ÷ Average Inventory = 82,000÷82,000 ÷ 13,500 = 6.07 times

Inventory Turnover Rate: 6.07 times

Marking:

  • 1 mark for correct calculation of cost of sales (82,000)andaverageinventory(82,000) and average inventory (13,500)
  • 1 mark for correct turnover rate (6.07 times)
  • Accept 6.07 or 6.1 times if workings shown

Section B: Interpretation and Analysis (Questions 6–10)

13 marks


6. Explain what a current ratio of 2.5:1 indicates about liquidity. (2 marks)

Answer: A current ratio of 2.5:1 means the business has 2.50ofcurrentassetsforevery2.50 of current assets for every 1 of current liabilities. This indicates a strong liquidity position, as the business has more than enough current assets to cover its short-term obligations. It suggests the business can comfortably meet its debts as they fall due.

Marking:

  • 1 mark for explaining the meaning of the ratio (current assets relative to current liabilities)
  • 1 mark for interpreting it as a strong/good liquidity position
  • Accept any reasonable interpretation showing understanding of the ratio

7. Explain one concern a quick ratio of 0.8:1 might raise for short-term creditors. (2 marks)

Answer: A quick ratio of 0.8:1 means the business has only 0.80ofquickassets(currentassetsexcludinginventory)forevery0.80 of quick assets (current assets excluding inventory) for every 1 of current liabilities. This raises concern because the business may not be able to pay its short-term debts immediately without selling inventory. Creditors may worry about delayed payments or default, as the business lacks sufficient liquid assets to meet urgent obligations.

Marking:

  • 1 mark for explaining the meaning of the ratio (less than 1:1 means insufficient quick assets)
  • 1 mark for linking to creditor concern (risk of non-payment or delayed payment)
  • Accept any reasonable concern linked to liquidity risk

8. State two possible reasons for a decline in gross profit margin from 42% to 35%. (3 marks)

Answer: Reason 1: Increase in cost of sales without a corresponding increase in selling price (e.g., higher purchase costs from suppliers, increased freight charges, or wastage).

Reason 2: Decrease in selling price without a corresponding decrease in cost of sales (e.g., discounting to attract customers, increased competition forcing lower prices).

Marking:

  • 1.5 marks for each valid reason (total 3 marks)
  • Accept: change in sales mix toward lower-margin products, inventory obsolescence, theft, or any reasonable explanation
  • Award partial marks (1 mark) if reason is stated but not clearly linked to gross profit margin

9. Compare and comment on inventory turnover rates of 8 times vs. 4 times. (3 marks)

Answer: Company A (8 times) has a higher inventory turnover rate than Company B (4 times). This means Company A sells and replaces its inventory twice as fast as Company B.

Company A's higher turnover suggests more efficient inventory management: lower holding costs, reduced risk of obsolescence, and faster conversion of inventory into cash. However, it could also indicate that Company A holds very low inventory levels, risking stock-outs.

Company B's lower turnover may indicate slower-moving inventory, higher storage costs, or potential overstocking. However, it could also mean Company B maintains higher inventory levels to ensure product availability.

Overall, Company A appears to manage inventory more efficiently, but the context of the industry and business model should be considered.

Marking:

  • 1 mark for stating which company has higher turnover and what it means
  • 1 mark for commenting on Company A's efficiency (advantages and possible risks)
  • 1 mark for commenting on Company B's position (disadvantages and possible reasons)
  • Accept any balanced comparison with valid points

10. Explain two reasons why a business might have a higher net profit margin (12%) than its competitor (8%). (3 marks)

Answer: Reason 1: The business may have better control over its operating expenses (e.g., lower rent, more efficient staffing, lower utility costs), resulting in a higher proportion of revenue retained as net profit.

Reason 2: The business may have a higher gross profit margin due to better supplier negotiations (lower cost of sales) or premium pricing (higher selling prices), leaving more profit to cover expenses and generate net profit.

Marking:

  • 1.5 marks for each valid reason (total 3 marks)
  • Accept: economies of scale, lower finance costs, better inventory management reducing wastage, or any reasonable explanation
  • Award partial marks (1 mark) if reason is stated but not clearly linked to net profit margin

Section C: Application and Evaluation (Questions 11–15)

15 marks


11. Explain whether an increase in trade receivables turnover from 6 to 9 times is positive or negative. (3 marks)

Answer: This is a positive trend. An increase in trade receivables turnover from 6 to 9 times means the business is collecting its debts from credit customers more quickly.

A higher turnover rate indicates:

  • More efficient credit control and collection procedures
  • Faster conversion of receivables into cash, improving cash flow
  • Reduced risk of irrecoverable debts, as debts are outstanding for a shorter period

However, if the faster collection is achieved through very strict credit terms, it might discourage potential customers and reduce sales. Overall, the trend is generally positive for liquidity and working capital management.

Marking:

  • 1 mark for identifying the trend as positive
  • 1 mark for explaining what higher turnover means (faster collection)
  • 1 mark for explaining benefits (improved cash flow, reduced risk) or noting a balanced view
  • Accept "positive" with valid reasoning; if student argues negative with valid reasoning (e.g., overly strict credit policy), award marks accordingly

12. State one limitation of using ratio analysis to evaluate a business's performance. (2 marks)

Answer: One limitation is that ratio analysis is based on historical financial data, which may not reflect current or future conditions. Ratios do not account for non-financial factors such as market conditions, management quality, or customer satisfaction. Additionally, different accounting policies can make comparisons between businesses misleading.

Marking:

  • 1 mark for stating a valid limitation
  • 1 mark for explaining or elaborating on the limitation
  • Accept: ratios are only as reliable as the underlying data, ratios do not provide reasons for performance, inflation effects are ignored, or any other valid limitation

13. Sunrise Enterprise calculations. (7 marks total)

(a) Calculate the gross profit. (3 marks)

Answer: Cost of Sales = Opening Inventory + Purchases − Closing Inventory = 14,000+14,000 + 95,000 − 16,000=16,000 = 93,000

Gross Profit = Revenue − Cost of Sales = 180,000180,000 − 93,000 = $87,000

Gross Profit: $87,000

Marking:

  • 1 mark for correct calculation of cost of sales ($93,000)
  • 1 mark for correct gross profit formula
  • 1 mark for correct gross profit ($87,000)

(b) Calculate the net profit. (2 marks)

Answer: Net Profit = Gross Profit − Operating Expenses = 87,00087,000 − 42,000 = $45,000

Net Profit: $45,000

Marking:

  • 1 mark for correct formula
  • 1 mark for correct net profit ($45,000)

(c) Calculate the trade receivables turnover rate. (2 marks)

Answer: Trade Receivables Turnover Rate = Revenue ÷ Average Trade Receivables = 180,000÷180,000 ÷ 22,500 = 8.00 times

Trade Receivables Turnover Rate: 8.00 times

Marking:

  • 1 mark for correct formula (Revenue ÷ Average Trade Receivables)
  • 1 mark for correct answer (8.00 times)
  • Accept 8 times

14. Moonlight Retailers analysis. (6 marks total)

(a) Comment on the profitability trend. (3 marks)

Answer: The profitability of Moonlight Retailers has declined from 2024 to 2025. The gross profit margin decreased from 40% to 38%, indicating a slight reduction in the profitability of sales before operating expenses. More significantly, the net profit margin dropped from 15% to 10%, showing that overall profitability after all expenses has worsened. This suggests either increasing operating expenses relative to revenue or a combination of lower gross profit and higher expenses.

Marking:

  • 1 mark for identifying the trend as declining/worsening
  • 1 mark for referencing both gross and net profit margin figures
  • 1 mark for explaining the implications (e.g., expense control issues, declining overall profitability)
  • Accept any reasonable interpretation supported by the data

(b) Comment on the liquidity trend. (3 marks)

Answer: The liquidity position of Moonlight Retailers has weakened from 2024 to 2025. The current ratio fell from 2.0:1 to 1.6:1, indicating a reduced ability to cover current liabilities with current assets. The quick ratio also declined from 1.2:1 to 0.9:1, falling below the ideal 1:1 benchmark. This suggests the business may struggle to meet its immediate short-term obligations without relying on inventory sales, raising concerns about short-term financial stability.

Marking:

  • 1 mark for identifying the trend as weakening/declining
  • 1 mark for referencing both current and quick ratio figures
  • 1 mark for explaining the implications (e.g., reduced liquidity, potential difficulty meeting obligations)
  • Accept any reasonable interpretation supported by the data

15. Company P vs. Company Q analysis. (6 marks total)

(a) Based on profitability ratios, which company appears to be performing better? (2 marks)

Answer: Company P appears to be performing better based on profitability ratios. It has a higher gross profit margin (45% vs. 30%) and a higher net profit margin (18% vs. 12%), indicating it generates more profit from each dollar of revenue both before and after operating expenses.

Marking:

  • 1 mark for identifying Company P
  • 1 mark for providing a valid reason referencing the ratios (higher margins)

(b) Based on liquidity ratios, which company appears to be in a stronger short-term financial position? (2 marks)

Answer: Company Q appears to be in a stronger short-term financial position. It has a higher current ratio (2.5:1 vs. 1.8:1) and a higher quick ratio (1.5:1 vs. 1.0:1), indicating a greater ability to cover its current liabilities with liquid assets.

Marking:

  • 1 mark for identifying Company Q
  • 1 mark for providing a valid reason referencing the ratios (higher liquidity ratios)

(c) Explain why an investor should consider both profitability and liquidity ratios. (2 marks)

Answer: An investor should consider both because profitability ratios show the business's ability to generate earnings and returns, which is essential for long-term growth and dividends. Liquidity ratios show the business's ability to meet short-term obligations and survive financial difficulties. A profitable business with poor liquidity may face cash flow problems and risk insolvency, while a liquid business with poor profitability may not provide adequate returns. Both are necessary for a comprehensive assessment of financial health.

Marking:

  • 1 mark for explaining the importance of profitability (returns, long-term viability)
  • 1 mark for explaining the importance of liquidity (short-term survival, cash flow)
  • Accept any reasonable explanation linking both to investment decisions

Section D: Advanced Analysis (Questions 16–20)

12 marks


16. Explain how a high inventory turnover rate can help maintain profitability with a low gross profit margin. (3 marks)

Answer: A high inventory turnover rate of 12 times means the business sells and replaces its inventory very quickly. Even with a low gross profit margin of 25%, the business can generate substantial total gross profit by selling a high volume of goods repeatedly throughout the year. This "high volume, low margin" strategy reduces holding costs, minimises the risk of inventory obsolescence, and allows the business to reinvest cash quickly into more inventory, compounding the returns. The overall profitability depends on the total gross profit generated over time, not just the margin per sale.

Marking:

  • 1 mark for explaining the relationship between turnover and total profit (volume compensates for low margin)
  • 1 mark for mentioning reduced holding costs or obsolescence risk
  • 1 mark for linking to cash flow and reinvestment
  • Accept any reasonable explanation of the volume-margin trade-off

17. Trade payables turnover decreased from 10 to 6 times. Explain one advantage and one disadvantage. (3 marks)

Answer: Advantage: A lower trade payables turnover means the business is taking longer to pay its suppliers (from 36.5 days to approximately 60.8 days). This improves the business's cash flow, as it retains cash longer for other operational needs or investments. It acts as a source of interest-free financing.

Disadvantage: Taking longer to pay suppliers may damage relationships with them, leading to less favourable credit terms in the future, loss of early payment discounts, or even refusal to supply. It could also signal to suppliers and creditors that the business is experiencing cash flow difficulties.

Marking:

  • 1.5 marks for a valid advantage (e.g., improved cash flow, interest-free financing)
  • 1.5 marks for a valid disadvantage (e.g., damaged supplier relationships, loss of discounts)
  • Accept any reasonable advantage and disadvantage

18. Explain what a current ratio of 3.0:1 and a quick ratio of 0.9:1 suggests. (2 marks)

Answer: This combination suggests that a large proportion of the business's current assets is tied up in inventory. The current ratio of 3.0:1 indicates ample total current assets relative to current liabilities, but the quick ratio of 0.9:1 (below 1:1) reveals that once inventory is excluded, the remaining liquid assets (cash and receivables) are insufficient to cover current liabilities. This implies potential liquidity risk, as the business relies heavily on selling inventory to meet its short-term obligations. If inventory cannot be sold quickly, the business may face cash flow problems.

Marking:

  • 1 mark for identifying that the difference is due to high inventory levels
  • 1 mark for explaining the liquidity implication (reliance on inventory sales, potential cash flow risk)
  • Accept any reasonable interpretation

19. Explain how a business could improve its net profit margin without increasing selling prices. (2 marks)

Answer: A business can improve its net profit margin by reducing costs. This could involve lowering the cost of sales (e.g., negotiating better prices with suppliers, reducing wastage) to improve the gross profit margin, or reducing operating expenses (e.g., cutting unnecessary administrative costs, improving energy efficiency, streamlining staffing). Both actions increase the proportion of revenue retained as net profit without changing selling prices.

Marking:

  • 1 mark for identifying cost reduction as the method
  • 1 mark for providing a specific example (reducing cost of sales or operating expenses)
  • Accept any valid cost-control measure

20. Explain why an investor should not base their decision solely on ROE. (2 marks)

Answer: An investor should not base their decision solely on ROE because a high ROE can be driven by high financial leverage (debt) rather than operational efficiency. Business X's lower current ratio suggests it may have higher short-term debt or liquidity risk, which increases financial risk. If the business cannot meet its obligations, the high ROE may be unsustainable. An investor must consider the associated risks, including liquidity and solvency, to assess the quality and sustainability of the returns.

Marking:

  • 1 mark for explaining that ROE does not reflect risk (e.g., high debt levels)
  • 1 mark for linking to the lower current ratio as an indicator of higher risk
  • Accept any reasonable explanation of the need for a balanced assessment

END OF ANSWER KEY