Sigma Limited income statement year ended 31-12-2020 R’000sSigma Limited balance sheet as at 31-12-2020 R’000sSales 55 000Cost of sales 30 500Operating expenses 18 500Operating income 6 000Interest 1 000Profit before tax 5 000Company tax rate 50%ASSETSFixed assetsNet fixed assets 120 500Current assetsInventories 74 500Other current assets 70 000TOTAL ASSETS 265 000 EQUITY AND LIABILITIESOwners equity 155 000LiabilitiesLong-term loans 95 500Current liabilities 14 500TOTAL EQUITY AND 265 000 LIABILITIES The return on equity exceeds the return on total assets by …Select one:a.0.00%b.0.47c.0.67%d.0.06%
Question
Sigma Limited income statement year ended 31-12-2020 R’000sSigma Limited balance sheet as at 31-12-2020 R’000sSales 55 000Cost of sales 30 500Operating expenses 18 500Operating income 6 000Interest 1 000Profit before tax 5 000Company tax rate 50%ASSETSFixed assetsNet fixed assets 120 500Current assetsInventories 74 500Other current assets 70 000TOTAL ASSETS 265 000 EQUITY AND LIABILITIESOwners equity 155 000LiabilitiesLong-term loans 95 500Current liabilities 14 500TOTAL EQUITY AND 265 000 LIABILITIES The return on equity exceeds the return on total assets by …Select one:a.0.00%b.0.47c.0.67%d.0.06%
Solution
To answer this question, we first need to calculate the Return on Equity (ROE) and the Return on Total Assets (ROA).
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Calculate ROE: ROE = Net Income / Shareholder's Equity Net Income = Profit before tax * (1 - tax rate) = 5000 * (1 - 0.50) = 2500 ROE = 2500 / 155000 = 0.0161 or 1.61%
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Calculate ROA: ROA = Net Income / Total Assets ROA = 2500 / 265000 = 0.0094 or 0.94%
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Subtract ROA from ROE to find the difference: Difference = ROE - ROA = 1.61% - 0.94% = 0.67%
So, the return on equity exceeds the return on total assets by 0.67%. Therefore, the correct answer is c. 0.67%.
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