Subjects algebra

Profit Percentage Ad547D

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1. **State the problem:** We need to find who makes the greatest profit percentage between the woman who buys and sells a car and her son who buys and sells a bicycle. 2. **Formula for profit percentage:** $$\text{Profit Percentage} = \left(\frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}}\right) \times 100$$ 3. **Calculate the woman's profit percentage:** Cost Price (car) = 700000 Selling Price (car) = 749000 Profit = 749000 - 700000 = 49000 $$\text{Profit Percentage}_{woman} = \left(\frac{49000}{700000}\right) \times 100 = 7\%$$ 4. **Calculate the son's profit percentage:** Cost Price (bicycle) = 16000 Selling Price (bicycle) = 17200 Profit = 17200 - 16000 = 1200 $$\text{Profit Percentage}_{son} = \left(\frac{1200}{16000}\right) \times 100 = 7.5\%$$ 5. **Compare the profit percentages:** The son makes a profit percentage of 7.5%, which is greater than the woman's 7%. **Final answer:** The son makes the greatest profit percentage.