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.Options700150100200
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.Options700150100200
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 set up the equation:
125/100 * Cost Price for B = 225
Solving for Cost Price for B gives us:
Cost Price for B = 225 * (100/125) = Rs.180
Step 2: Find the cost price for A Similarly, since A sold the bicycle to B at a profit of 20%, the cost price for B of Rs.180 is 120% of the cost price for A. We can set up the equation:
120/100 * Cost Price for A = 180
Solving for Cost Price for A gives us:
Cost Price for A = 180 * (100/120) = Rs.150
So, the cost price of the bicycle for A is Rs.150.
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