Multiple choice

A man buys two books for a total cost of Rs. 1350. By selling one for fourth-fifth of its cost and the other for fifth-fourth of its cost he makes a profit of Rs. 135 for overall transaction. The cost of the lower price book is- एक आदमी दो किताबें 1350 रू. में खरीदता है। एक किताब को उसके क्रय मूल्य के चार-पंचमाश भाग पर बेचने पर तथा दूसरे को उसके क्रय मूल्य के पांच-चतुर्थांश भाग पर बेचने पर वह पूरे सौदे में 135 रू. का लाभ प्राप्त करता है। कम मूल्य वाली किताब का क्रय मूल्य है-

  1. Rs. 450

  2. Rs. 350

  3. Rs.650

  4. Rs. 550
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A Correct answer
Explanation

Let the costs be x and y. So x + y = 1350. Selling prices: (4/5)x and (5/4)y. Total profit: (4/5)x + (5/4)y - (x + y) = 135. This gives -x/5 + y/4 = 135, or y/4 - x/5 = 135. Solving with x + y = 1350 gives x = 450 and y = 900. The lower price book costs Rs. 450.

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