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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%

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Solution

To answer this question, we first need to calculate the Return on Equity (ROE) and the Return on Total Assets (ROA).

  1. 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%

  2. Calculate ROA: ROA = Net Income / Total Assets ROA = 2500 / 265000 = 0.0094 or 0.94%

  3. 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%.

This problem has been solved

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