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20) 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?

Question

  1. 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?
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Solution

Step 1: Let's assume the cost price of the item is 100.Accordingtotheproblem,theprofitis320100. According to the problem, the profit is 320% of the cost. So, the profit would be 320% of 100, which is $320.

Step 2: The selling price of the item would be the cost price plus the profit, which is 100+100 + 320 = $420.

Step 3: If the cost increases by 25%, the new cost price would be 100+25100 + 25% of 100 = $125.

Step 4: However, the selling price remains constant at 420.So,thenewprofitwouldbethesellingpriceminusthenewcostprice,whichis420. So, the new profit would be the selling price minus the new cost price, which is 420 - 125=125 = 295.

Step 5: To find out what percentage of the selling price is the new profit, we divide the new profit by the selling price and multiply by 100. So, the new profit percentage would be (295/295 / 420) * 100 = approximately 70.24%.

So, if the cost increases by 25% but the selling price remains constant, approximately 70.24% of the selling price is the profit.

This problem has been solved

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