answerA 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.
Question
answerA 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.
Solution
Step 1: We know that the selling price of the bicycle for C is Rs. 225, and this price is 125% of the price B bought it for (because B made a 25% profit). So, we can find the price B bought it for by dividing 225 by 1.25.
225 / 1.25 = Rs. 180
So, B bought the bicycle for Rs. 180.
Step 2: Now, we know that B bought the bicycle from A for Rs. 180, and this price is 120% of the cost price for A (because A made a 20% profit). So, we can find the cost price for A by dividing 180 by 1.2.
180 / 1.2 = Rs. 150
So, the cost price of the bicycle for A was Rs. 150.
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