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If selling price of 12 pens is equal to the cost price of 18 pens,find the profit percent.40%33.3%50%25%

Question

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

  • Options:
    • 40%
    • 33.3%
    • 50%
    • 25%
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Solution

Let's denote the cost price of one pen as 'C' and the selling price of one pen as 'S'.

According to the problem, the selling price of 12 pens is equal to the cost price of 18 pens.

So, we can write this as: 12S = 18C

Solving for S (the selling price of one pen), we get: S = 1.5C

This means that the selling price of each pen is 1.5 times the cost price.

The profit for each pen is therefore: S - C = 1.5C - C = 0.5C

The profit percent is calculated as (Profit / Cost Price) * 100, so the profit percent is (0.5C / C) * 100 = 50%

So, the profit percent is 50%.

This problem has been solved

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