Multiple choice

The ratio between the annual incomes of A and B is 4 : 3 and between their annual expenditures is 3:2. If at the end of a year both save Rs 600 each, find the difference in the income.

  1. Rs. 450

  2. Rs. 500

  3. Rs. 600

  4. Rs. 750

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A's income = 4x, B's income = 3x. Let A's expenditure = 3y, B's expenditure = 2y. Savings = Income - Expenditure, so 4x - 3y = 600 and 3x - 2y = 600. Solving: from first equation, 3y = 4x - 600, so y = (4x - 600)/3. Substitute: 3x - 2(4x - 600)/3 = 600. Multiply by 3: 9x - 8x + 1200 = 1800, so x = 600. Difference in income = 4x - 3x = x = Rs. 600.