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If selling price of 12 pens is equal to the cost price of 18 pens,find the profit percent.

Question

If selling price of 12 pens is equal to the cost price of 18 pens, find the profit percent.

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Solution

Step 1: Let's assume the cost price of one pen is 1.Therefore,thecostpriceof18penswouldbe1. Therefore, the cost price of 18 pens would be 18.

Step 2: According to the problem, the selling price of 12 pens is equal to the cost price of 18 pens, which is 18.So,thesellingpriceofonepenwouldbe18. So, the selling price of one pen would be 18/12 = $1.5.

Step 3: Now, we can calculate the profit made on one pen. The profit would be the selling price of one pen minus the cost price of one pen, which is 1.51.5 - 1 = $0.5.

Step 4: The profit percentage is calculated as (Profit/Cost price) * 100. Substituting the values we have, the profit percentage would be (0.5/0.5/1) * 100 = 50%.

So, the profit percent is 50%.

This problem has been solved

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