Question 146

A sells 12 bicycles at a profit of ₹ 516 per bicycle and sells 3 bicycles at a loss of ₹ 129 per bicycle. If the total profit percentage on all the bicycles sold is 15%. the cost price per bicycle is:

Solution

Let say, cost price of a bicycle is X.

Cost price of 15 bicycle is 15X.

Then selling price of total 15 bicycle is

$$=12(X+516)+3(X-129)=(15X+5805).$$

Selling price of 15 bicycle$$=15×(1.15X)$$.

So, $$15X+5805=17.25X$$

or,$$2.25X=5805$$

or,$$X=2580.$$

C is correct choice.

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