Multiple choice

The monthly incomes of A and B are in the ratio 4 : 3. Each of them saves Rs 600. If the ratio of their expenditure is 3 : 2, then what is the monthly income of A?

  1. Rs 2400

  2. Rs 2000

  3. Rs 1800

  4. Rs 3600
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A Correct answer
Explanation

Let incomes be 4x and 3x. Both save 600, so expenditures are 4x-600 and 3x-600. Given expenditure ratio is 3:2, we have (4x-600)/(3x-600) = 3/2. Cross-multiplying: 2(4x-600) = 3(3x-600), giving 8x-1200 = 9x-1800, so x = 600. A's income = 4x = 4×600 = Rs 2400. Verification: A spends 1800, B spends 1200, ratio is 1800:1200 = 3:2 (correct).

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