In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?Choose the best optionClear Response70605040
Question
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?Choose the best optionClear Response70605040
Solution
Let's break this down:
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Initially, the profit is 320% of the cost. This means if the cost is 3.20. Therefore, the selling price (cost + profit) is 3.20 = $4.20.
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If the cost increases by 25%, the new cost is $1.25.
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The problem states that the selling price remains constant, so it's still $4.20.
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The profit is now the selling price minus the new cost, or 1.25 = $2.95.
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To find out what percentage of the selling price the new profit is, divide the profit by the selling price and multiply by 100: (4.20) * 100 = 70.24%.
So, the profit is approximately 70% of the selling price when the cost increases by 25% but the selling price remains constant. Therefore, the best option is 70.
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