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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

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Solution

Let's break this down:

  1. Initially, the profit is 320% of the cost. This means if the cost is 1,theprofitis1, the profit is 3.20. Therefore, the selling price (cost + profit) is 1+1 + 3.20 = $4.20.

  2. If the cost increases by 25%, the new cost is $1.25.

  3. The problem states that the selling price remains constant, so it's still $4.20.

  4. The profit is now the selling price minus the new cost, or 4.204.20 - 1.25 = $2.95.

  5. To find out what percentage of the selling price the new profit is, divide the profit by the selling price and multiply by 100: (2.95/2.95 / 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.

This problem has been solved

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