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If selling price is doubled, the profit triples. Find the profit percent ?

Question

If selling price is doubled, the profit triples. Find the profit percent ?

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Solution

Let's solve this step by step:

Step 1: Let's assume the cost price of the item is xx and the selling price of the item is yy. So, the profit is yxy - x.

Step 2: According to the problem, if the selling price is doubled, the profit triples. So, the new selling price is 2y2y and the new profit is 3(yx)3(y - x).

Step 3: We can set up the equation from the information given in the problem: 3(yx)=2yx3(y - x) = 2y - x.

Step 4: Simplify the equation: 3y3x=2yx3y - 3x = 2y - x.

Step 5: Rearrange the equation to solve for yy: y=2xy = 2x.

Step 6: Substitute y=2xy = 2x into the original profit equation: Profit = 2xx=x2x - x = x.

Step 7: The profit percent is calculated as (Profit / Cost Price) * 100. So, the profit percent is (x/x)100=100(x / x) * 100 = 100%.

So, the profit percent is 100%.

This problem has been solved

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