Multiple choice

A and B have their monthly incomes in the ratio 5 : 3, while their monthly expenditures are in the ratio 9 : 4. If they have saved Rs. 18,000 and Rs. 15,000 monthly respectively, then the difference in their monthly incomes is?

  1. 15000

  2. 18000

  3. 16000

  4. 21000

  5. None of these

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

Let A's income = 5x, B's income = 3x. Let A's expenditure = 9y, B's expenditure = 4y. Savings: A saves 5x - 9y = 18000, B saves 3x - 4y = 15000. Solving: multiply second eq by 2.25: 6.75x - 9y = 33750. Subtract first eq: 1.75x = 15750, so x = 9000. A's income = 5x = 45000, B's income = 3x = 27000. Difference = 45000 - 27000 = 18000.