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The c.p of 10 pens is equal to s.p of 12 pens.Find his gain% or loss%.A33.24% profitB20% profit

Question

The c.p of 10 pens is equal to s.p of 12 pens. Find his gain% or loss%.

  • A) 33.24% profit
  • B) 20% profit
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Solution

The problem states that the cost price (c.p) of 10 pens is equal to the selling price (s.p) of 12 pens. This implies that the seller is selling 12 pens for the price of 10 pens.

Step 1: Let's assume the cost price of 1 pen is 1.Therefore,thecostpriceof10pensis1. Therefore, the cost price of 10 pens is 10.

Step 2: According to the problem, the selling price of 12 pens is also 10.So,thesellingpriceof1penis10. So, the selling price of 1 pen is 10/12 = $0.833.

Step 3: We know that the gain or loss percent is calculated as ((Selling Price - Cost Price)/Cost Price)*100. In this case, it would be ((0.8330.833 - 1)/$1)*100 = -16.7%.

Since the value is negative, it means the seller is at a loss. Therefore, the seller has a loss of 16.7%. So, none of the options A or B is correct.

This problem has been solved

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