Multiple choice

Monthly incomes of two persons are in the ratio 5:4 and their expenditures are in the ratio 9:7. If each saves Rs. 500 per month, then what are their monthly income?

  1. Rs. 4500, Rs. 3600

  2. Rs. 4000, Rs. 2800

  3. Rs. 3500, Rs. 2800

  4. Rs. 5000, Rs. 4000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let incomes be 5x and 4x; expenditures be 9y and 7y. Savings = Income - Expenditure, so 5x - 9y = 500 and 4x - 7y = 500. Solving: Multiply second eq by 9: 36x - 63y = 4500. Multiply first by 7: 35x - 63y = 3500. Subtract: x = 1000. Therefore incomes are 5(1000) = 5000 and 4(1000) = 4000.

Keep practicing — related questions