Multiple choice

The ratio between the incomes of Mohan and Rakesh is 5 : 4 and the ratio between their expenditures is 3 : 2. If at the end of the year both saves Rs. 1600, then find the income of B. मोहन और राकेश की आय का अनुपात 5 : 4 है और उनके खर्चों का अनुपात 3 : 2 है | यदि वर्ष के अंत में दोनों रु 1600 बचाएं, तो B की आय कितनी है ?

  1. 4000

  2. 3500

  3. 3200

  4. 3000
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C Correct answer
Explanation

Let incomes be 5I and 4I, expenditures be 3E and 2E. Both save 1600, so 4I - 2E = 1600 for Rakesh (person B). Solving gives E = 2I - 800. From Mohan's equation 5I - 3E = 1600, we get I = 800. B's income = 4I = 3200.

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