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ACCA · Applied Knowledge

FA: Interpretation

14 free practice questions on interpretation, Section I of the ACCA Financial Accounting (FA) question bank. Topics include Profitability ratios, ROCE and its components, Liquidity ratios, Working capital management ratios, Gearing and interest cover, Limitations of ratio analysis. Each question carries its syllabus reference and a worked explanation. Practise them in the quiz with instant feedback, or read every question with its answer further down this page.

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All 14 interpretation questions

The same questions the quiz above draws on, in syllabus order, each with its answer and worked explanation. 9 are multiple choice and 5 are numerical, where you work the answer out before choosing it.

Question 1 · Syllabus ref I1a · Profitability ratios

Revenue: £800,000. Gross profit: £240,000. Operating profit: £120,000. Capital employed: £600,000. Calculate the gross profit margin, operating profit margin, and ROCE.

  1. GP margin 30%; OP margin 15%; ROCE 20%
  2. GP margin 30%; OP margin 20%; ROCE 15%
  3. GP margin 40%; OP margin 15%; ROCE 20%
  4. GP margin 25%; OP margin 15%; ROCE 20%
Show answer and explanation

Answer: A. Gross profit margin = £240,000 ÷ £800,000 × 100 = 30%. Operating profit margin = £120,000 ÷ £800,000 × 100 = 15%. ROCE = £120,000 ÷ £600,000 × 100 = 20%. Verify ROCE = GP margin × Asset turnover: 30% × (Revenue/Capital £800k/£600k = 1.33) = 39.9% — no, that uses GP margin. Using OP margin: ROCE = 15% × 1.333 = 20% ✓. This confirms the examiner's tested relationship ROCE = Profit margin × Asset turnover.

Question 2 · Syllabus ref I1b · ROCE and its components

A company's ROCE has increased from 12% to 18% year on year. Its asset turnover has increased from 1.0 to 1.5. Using the relationship ROCE = Profit margin × Asset turnover, what has happened to profit margin?

  1. Profit margin has increased from 12% to 18%, mirroring the rise in ROCE
  2. Profit margin has remained at 12% while ROCE improved solely due to asset turnover
  3. Profit margin has decreased from 12% to 8%
  4. Profit margin has increased from 12% to 27%
Show answer and explanation

Answer: B. Rearranging the relationship gives Profit margin = ROCE ÷ Asset turnover. Year 1: 12% ÷ 1.0 = 12%. Year 2: 18% ÷ 1.5 = 12%. The profit margin is unchanged at 12% in both years — the entire improvement in ROCE is explained by the rise in asset turnover from 1.0 to 1.5, i.e. the business is generating more revenue from the same capital base, not earning more profit per £1 of revenue. Option A confuses profit margin with ROCE itself — margin did not move in line with ROCE. Option C (8% = 12% ÷ 1.5) divides the old margin by the new turnover, the right operation applied to the wrong figures. Option D (27% = 18% × 1.5) multiplies instead of divides. The key insight: ROCE can improve through better margins, better asset utilisation, or both — here it is entirely the latter.

Question 3 · Syllabus ref I2a · Liquidity ratios

Current assets: £180,000 (including inventory £60,000). Current liabilities: £90,000. Calculate the current ratio and the quick ratio.

  1. Current ratio 2.0:1; Quick ratio 0.67:1
  2. Current ratio 1.33:1; Quick ratio 2.0:1
  3. Current ratio 2.0:1; Quick ratio 1.33:1
  4. Current ratio 3.0:1; Quick ratio 2.33:1
Show answer and explanation

Answer: C. Current ratio = Current assets ÷ Current liabilities = £180,000 ÷ £90,000 = 2.0:1. Quick ratio (acid test) = (Current assets − Inventory) ÷ Current liabilities = (£180,000 − £60,000) ÷ £90,000 = £120,000 ÷ £90,000 = 1.33:1. The quick ratio excludes inventory as it is the least liquid current asset. Both ratios above 1:1 suggest adequate liquidity. Option A applies wrong quick ratio. Option B swaps the two ratios. Option D uses wrong denominators.

Question 4 · Syllabus ref I2b · Working capital management ratios

Revenue £730,000 (all credit sales). Cost of sales £510,000. Trade receivables £82,000. Trade payables £68,000. Inventory £51,000. Calculate the receivables collection period and payables payment period (in days, to nearest day).

  1. Receivables 41 days; Payables 41 days
  2. Receivables 49 days; Payables 41 days
  3. Receivables 36 days; Payables 49 days
  4. Receivables 41 days; Payables 49 days
Show answer and explanation

Answer: D. Receivables days = (Receivables ÷ Revenue) × 365 = (£82,000 ÷ £730,000) × 365 = 41 days. Payables days = (Payables ÷ Cost of sales) × 365 = (£68,000 ÷ £510,000) × 365 = 48.7 ≈ 49 days. Note: payables are compared to purchases/cost of sales (what is owed to suppliers), not revenue. Option A uses revenue for both. Option B swaps the two figures. Option C uses wrong base for receivables.

Question 5 · Syllabus ref I3a · Gearing and interest cover

Long-term debt: £400,000. Equity: £600,000. Operating profit: £120,000. Interest: £24,000. Calculate gearing (debt/equity) and interest cover.

  1. Gearing 67%; Interest cover 5 times
  2. Gearing 40%; Interest cover 5 times
  3. Gearing 67%; Interest cover 4 times
  4. Gearing 40%; Interest cover 6 times
Show answer and explanation

Answer: A. Gearing (debt/equity) = £400,000 ÷ £600,000 × 100 = 66.7% ≈ 67%. Interest cover = Operating profit ÷ Interest = £120,000 ÷ £24,000 = 5 times. A higher gearing indicates higher financial risk. Interest cover of 5 times means the company earns 5× its interest charge — generally considered comfortable. Option B uses debt/(debt+equity): £400k÷£1,000k = 40%. Both gearing formulae are used — the question should specify. The most common FA exam formula is debt/equity = 67%. Option C has wrong interest cover. Option D uses debt/(debt+equity) formula.

Question 6 · Syllabus ref I3b · Limitations of ratio analysis

Which of the following is a recognised limitation of using ratio analysis to assess business performance?

  1. Ratios provide too much detail for senior management to use effectively
  2. Ratios are based on historical financial data which may not reflect the current position or future prospects of the business
  3. Ratios can only be calculated for listed companies with publicly available financial statements
  4. A single set of ratios provides a complete picture of all aspects of business performance
Show answer and explanation

Answer: B. Ratios are backward-looking — they analyse historical data. This is a significant limitation: a business may have experienced dramatic change since the reporting date. Other limitations include: different accounting policies make comparisons unreliable; window dressing inflates ratios; non-financial factors are ignored; and different industry contexts make absolute benchmarks unreliable. Option A is wrong — ratios simplify information for management, they do not provide too much detail. Option C is wrong — ratios can be calculated for any entity. Option D is the opposite — ratios provide a partial picture.

Question 7 · Syllabus ref I4a · Consolidated ratio analysis

When interpreting the financial ratios of a group versus its parent company standalone accounts, which of the following is a key consideration?

  1. Consolidated ratios are always more favourable than parent-only ratios as they include more revenue
  2. The consolidated accounts are less reliable than the parent's individual accounts for ratio analysis
  3. Consolidated ratios reflect the performance of the entire group including subsidiaries — comparison to parent-only ratios may be misleading if subsidiaries operate in different sectors with different risk profiles
  4. Group ratios and parent ratios will always show the same trends as they include the same underlying transactions
Show answer and explanation

Answer: C. Group accounts aggregate multiple entities that may operate in different sectors with different profitability profiles, capital intensities, and risk levels. A subsidiary in a capital-intensive sector will affect asset turnover and ROCE differently from a service subsidiary. This makes comparison between consolidated and parent-only ratios complex. Consolidated ratios are not inherently more favourable (A). Consolidated accounts are prepared to IFRS and are highly regulated (B). The same underlying transactions appear in both only if the parent has no subsidiaries (D is wrong).

Question 8 · Syllabus ref I5a · Limitations of consolidated accounts

Which of the following is a limitation of using consolidated financial statements for investment analysis?

  1. They aggregate the performance of diverse subsidiaries, potentially masking poor performance in individual entities within the group
  2. They provide more information than single-entity accounts, reducing their usefulness
  3. Consolidated accounts are not required by IFRS for listed groups
  4. They cannot be used to calculate financial ratios
Show answer and explanation

Answer: A. Consolidated accounts combine all group entities into a single set of statements. This aggregation obscures individual subsidiary performance — a profitable parent can mask a loss-making subsidiary. Analysts often request segment information (IFRS 8) to understand the components. Option B is the opposite — more information aids analysis. Consolidated accounts are required by IFRS 10 for listed groups (C). Financial ratios can be calculated from consolidated accounts (D).

Question 9 · Syllabus ref I6a · Inventory days

Cost of sales: £480,000. Opening inventory: £44,000. Closing inventory: £52,000. Calculate the inventory holding period in days.

  1. 33 days
  2. 37 days
  3. 40 days
  4. 48 days
Show answer and explanation

Answer: B. Average inventory = (£44,000 + £52,000) ÷ 2 = £48,000. Inventory days = (Average inventory ÷ Cost of sales) × 365 = (£48,000 ÷ £480,000) × 365 = 36.5 ≈ 37 days. Some calculations use only closing inventory: (£52,000 ÷ £480,000) × 365 = 39.5 ≈ 40 days (option C). The question does not specify which — using average (more theoretically sound): 37 days. Option A uses opening inventory only. Option D uses a wrong calculation.

Question 10 · Syllabus ref I7a · Interpretation — comparing two companies

Company A has a gross profit margin of 45% and Company B has 28%. Both are in the same industry. Which of the following is the most appropriate conclusion?

  1. Company B is a better-managed business as it has lower margins, indicating competitive pricing
  2. Company A is more profitable at the gross level — possible reasons include premium pricing, lower material costs, or a different product mix; further analysis is needed
  3. Company A must be misrepresenting its costs as 45% is too high for any industry
  4. Company B will necessarily have a higher return on capital employed than Company A
Show answer and explanation

Answer: B. A higher gross margin indicates better pricing power, lower input costs, or a richer product mix. Both are plausible in the same industry — it requires further investigation (premium vs value segment, own-brand vs branded, etc). Margin analysis is a starting point, not a conclusion. Higher margins are not evidence of misrepresentation (C). ROCE depends on asset efficiency as well as margin — Company B could have higher ROCE if it turns assets faster (D). Lower margins do not indicate better management (A).

Question 11 · Syllabus ref I8a · Ratio analysis — interpretation

A company's current ratio has fallen from 2.5:1 to 1.1:1 over two years. Receivables days have increased from 35 to 62 days. Which of the following is the most likely explanation for the combined trend?

  1. Deteriorating liquidity — the company is extending more credit to customers (longer collection period) while current liabilities are growing relative to current assets, suggesting potential cash flow pressure
  2. Improving efficiency — a lower current ratio indicates the company is using its current assets more productively
  3. The company has improved its working capital management by collecting receivables faster
  4. The trends are contradictory and cannot be interpreted together
Show answer and explanation

Answer: A. A falling current ratio combined with rising receivables days is a warning sign: less liquid (less ability to meet short-term obligations) combined with slower customer collections. This combination suggests cash flow pressure — the company has more current liabilities relative to current assets, and is taking longer to convert receivables to cash. Option B misinterprets a low current ratio as efficiency (it can be, but combined with rising receivables days it is more concerning). Option C describes the opposite — receivables days rising means collections are slower. Option D ignores the analytical value of combined ratio trends.

Question 12 · Syllabus ref I9a · Gearing — implications

A company's gearing ratio (debt/equity) has increased from 30% to 75% after a major debt-financed acquisition. Which of the following best describes the implication for financial risk?

  1. Higher financial risk — increased debt increases the obligation to pay interest and repay principal, making the company more vulnerable to earnings downturns
  2. Lower financial risk — debt is cheaper than equity, so replacing equity with debt reduces the overall cost of financing
  3. Higher financial risk — the acquisition has reduced the company's revenue-generating capacity
  4. No change in financial risk — gearing ratios do not affect the risk profile of a business
Show answer and explanation

Answer: A. Higher gearing increases financial risk because interest payments are obligatory (unlike dividends) and debt must be repaid. If earnings fall, the company may struggle to meet interest obligations. Option B confuses cost of capital with risk — while debt may be cheaper, higher gearing transfers more risk to equity holders and increases the probability of financial distress. Option C makes an unsupported assumption about the acquisition's revenue impact. Gearing is specifically a measure of financial risk (D is wrong).

Question 13 · Syllabus ref I10a · Quality of earnings analysis

An analyst notes that a company's reported profit has grown 20% but operating cash flow has fallen 15%. Which of the following is the most appropriate interpretation?

  1. The company is successfully investing for growth, explaining the cash flow fall
  2. The profit increase is entirely reliable as it has been audited
  3. Potential earnings quality concern — profit growth not supported by cash generation may indicate aggressive revenue recognition or working capital deterioration
  4. Cash flow is irrelevant to assessing profit quality — they measure different things
Show answer and explanation

Answer: C. When profit grows but operating cash flow falls, it raises questions about earnings quality. Possible causes: aggressive revenue recognition (booking sales before cash received), rising receivables, increasing payables (deferred payments), or capitalising expenses. High-quality earnings are generally converted to cash — a persistent divergence is a red flag. Investment (A) would affect investing cash flows, not operating. Audit provides assurance but does not guarantee earnings are economically meaningful (B). Cash flow is highly relevant to profit quality analysis (D is wrong).

Question 14 · Syllabus ref I11a · Capital structure and financing decisions

A company needs to raise £5 million. It is considering either a rights issue (equity) or a bond issue (debt). Which of the following correctly identifies a key difference between the two?

  1. A rights issue increases the company's debt and creates fixed interest obligations
  2. Bond interest is paid from pre-tax profit, making it tax-deductible; this is not relevant to the financing decision
  3. A rights issue is cheaper than a bond issue in all circumstances because there is no interest obligation
  4. Interest on bonds is an obligatory payment; dividends on equity are discretionary — the bond issue increases financial risk relative to the rights issue
Show answer and explanation

Answer: D. The key distinction: bond interest is obligatory (must be paid regardless of profitability) and increases financial risk. Equity dividends are discretionary — if profitability falls, dividends can be cut or omitted. A rights issue does not create debt (A). Bond interest's tax deductibility (B) is actually relevant to the financing decision — it reduces the effective cost of debt. The cost comparison (C) is not universally true — equity investors demand a return through dividends and capital growth, which may exceed bond interest costs.

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