Question

A man bought two books for Rs 1040. He sold one at a loss of 15% and other at a profit of 36% then he found that each book was sold for the same price. Find the cost price of each book

Answer 1

Answer:

Let the price of one book be Rs. x

price of next book is = 1040 - x

C.P of 1st book is Rs. x

Loss = 15%

S.P of 1st book = 85x / 100

C.P of 2nd book = 1040 - x

Profit = 36%

S.P of 2nd book = (1040 - x × 136)/100

(85x)/ 100 - (1040 - x × 136) / 100

85 x = 1040 × 136 - 136 x

85 x + 136 x = 1040 × 136

221 x = 1040 × 136

x = (1040 × 136) / 221

x = 640

So, Cost price for 1st book is 640 Rs.

and 2nd book is 1040 - 640 = 400 Rs.

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