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f the cost price of an item is $840, the mark up is 15% and the discount is 10%, then find the profit percent.  Ops:   A. 3.5%    B. 4.8%    C. 7%    D. 6.2%

Question

f the cost price of an item is $840, the mark up is 15% and the discount is 10%, then find the profit percent.  Ops:   A. 3.5%    B. 4.8%    C. 7%    D. 6.2%

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Solution

Step 1: Calculate the selling price after the markup. The markup is 15% of the cost price, so it is 0.15 * 840=840 = 126.

Step 2: Add the markup to the cost price to get the selling price before the discount. 840+840 + 126 = $966.

Step 3: Calculate the discount. The discount is 10% of the selling price, so it is 0.10 * 966=966 = 96.6.

Step 4: Subtract the discount from the selling price to get the final selling price. 966966 - 96.6 = $869.4.

Step 5: Calculate the profit. The profit is the final selling price minus the cost price, so it is 869.4869.4 - 840 = $29.4.

Step 6: Calculate the profit percent. The profit percent is the profit divided by the cost price, times 100%, so it is (29.4/29.4 / 840) * 100% = 3.5%.

So, the profit percent is 3.5%, which corresponds to option A.

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