A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is:
Question
A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is:
Solution
To solve this problem, we need to work backwards from the final price that C paid for the bicycle.
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C paid Rs. 225 for the bicycle, which is a 25% increase from the price B paid for it. To find the price B paid, we need to calculate 100% of the price. We can set up the equation as follows:
125% = Rs. 225 100% = ?
To find the value of 100%, we can divide 225 by 1.25 (since 125% is equivalent to 1.25).
So, B paid Rs. 225 / 1.25 = Rs. 180 for the bicycle.
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Now, we know that B bought the bicycle from A at a 20% profit. This means that the Rs. 180 is 120% of the price A originally paid. Again, we need to find 100% of the price. We can set up the equation as follows:
120% = Rs. 180 100% = ?
To find the value of 100%, we can divide 180 by 1.2 (since 120% is equivalent to 1.2).
So, A's cost price for the bicycle was Rs. 180 / 1.2 = Rs. 150.
Therefore, the cost price of the bicycle for A is Rs. 150.
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