Multiple choice

The ratio of incomes of A and B is 5 : 3 and that of their expenditures is 9:5. If each saves Rs. 1800, Find B’s income.

  1. 10800

  2. 15200

  3. 18200

  4. 16800
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A Correct answer
Explanation

Let A's income be 5x and B's income be 3x. Let A's expenditure be 9y and B's expenditure be 5y. Since both save Rs. 1800: A saves 5x - 9y = 1800 and B saves 3x - 5y = 1800. Solving these simultaneously: multiply first by 3 and second by 5 to get 15x - 27y = 5400 and 15x - 25y = 9000. Subtracting gives 2y = 3600, so y = 1800. Substituting: 5x - 16200 = 1800, so 5x = 18000 and x = 3600. Therefore, B's income = 3x = 3 × 3600 = Rs. 10800.

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