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.Rs.120Rs.125Rs.140Rs.150
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.Rs.120Rs.125Rs.140Rs.150
Solution
Let's solve this step by step:
Step 1: We know that B sold the bicycle to C at a profit of 25% and the selling price was Rs. 225. So, we can find the cost price for B by dividing the selling price by 1.25 (since 25% profit means the selling price is 125% of the cost price).
So, Cost price for B = Selling price for B / 1.25 = 225 / 1.25 = Rs. 180
Step 2: Now, we know that A sold the bicycle to B at a profit of 20%. So, this Rs. 180 is 120% of the cost price for A. We can find the cost price for A by dividing this by 1.2.
So, Cost price for A = Cost price for B / 1.2 = 180 / 1.2 = Rs. 150
So, the cost price of the bicycle for A is Rs. 150.
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