Maria buys 550 bags of sweets for 50p each.She sells 110 of the bags for 60p each.She sells 26% of the bags for 58p each.She sells the remaining bags for 52p each.Calculate her percentage profit.
Question
Maria buys 550 bags of sweets for 50p each.She sells 110 of the bags for 60p each.She sells 26% of the bags for 58p each.She sells the remaining bags for 52p each.Calculate her percentage profit.
Solution
Sure, let's break it down:
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First, calculate how much Maria spent to buy the sweets. She bought 550 bags at 50p each, so she spent 550 * 50p = £275.
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Next, calculate how much she earned from selling 110 bags at 60p each. This comes to 110 * 60p = £66.
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Then, calculate how much she earned from selling 26% of the bags at 58p each. 26% of 550 bags is 143 bags (rounded to the nearest whole number). So, she earned 143 * 58p = £82.94 from these.
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The remaining bags are 550 - 110 - 143 = 297 bags. She sold these at 52p each, so she earned 297 * 52p = £154.44 from these.
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Add up all the earnings to find out how much Maria made in total: £66 + £82.94 + £154.44 = £303.38.
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Now, subtract the total cost from the total earnings to find out how much profit Maria made: £303.38 - £275 = £28.38.
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To find the percentage profit, divide the profit by the cost and multiply by 100: (28.38 / 275) * 100 = 10.32%.
So, Maria made a profit of approximately 10.32%.
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