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A sells a bicycle to B and makes a profit of 20%. B sells the same bicycle to C at a profit of 25%. If the final S.P. of the bicycle was Rs.225, find out the cost price of the bicycle for A.Options100200700150

Question

A sells a bicycle to B and makes a profit of 20%. B sells the same bicycle to C at a profit of 25%. If the final S.P. of the bicycle was Rs.225, find out the cost price of the bicycle for A.Options100200700150

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Solution

To solve this problem, we need to work backwards from the final selling price.

Step 1: Find the cost price for B Since B sold the bicycle to C at a profit of 25%, this means the selling price of Rs.225 is 125% of the cost price for B. We can find the cost price for B by dividing the selling price by 125 and then multiplying by 100. So, the cost price for B = (225 / 125) * 100 = Rs.180

Step 2: Find the cost price for A Similarly, since A sold the bicycle to B at a profit of 20%, this means the selling price of Rs.180 is 120% of the cost price for A. We can find the cost price for A by dividing the selling price by 120 and then multiplying by 100. So, the cost price for A = (180 / 120) * 100 = Rs.150

So, the cost price of the bicycle for A is Rs.150.

This problem has been solved

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