Multiple choice

The total monthly income of Ram and Rahim is in ratio of 4 : 3 and the ratio of their monthly expenditure is 3:2. If each saves Rs. 5000 per month, then what is the respective monthly income of Ram and Rahim?

  1. Rs. 12000 and Rs. 9000

  2. Rs. 10000 and Rs. 7500

  3. Rs. 20000 and Rs. 1100

  4. Rs. 20000 and Rs. 15000

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

Let Ram's income be 4x and Rahim's income be 3x. Let Ram's expenditure be 3y and Rahim's expenditure be 2y. Since each saves Rs. 5000, we have 4x - 3y = 5000 and 3x - 2y = 5000. Solving gives x = 5000, so Ram's income = 4 × 5000 = Rs. 20000 and Rahim's income = 3 × 5000 = Rs. 15000. Option A is incorrect because it gives Ram's income as Rs. 12000, which is only 3x, not 4x.