Multiple choice

The ratio of monthly income of A and B is 3 : 5. If income of each person is increased by Rs 160, this ratio becomes 25 : 41. What is the A's monthly income before increment?

  1. Rs 3840

  2. Rs 9000

  3. Rs 2720

  4. Rs 1570

  5. None of these

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

Let A's income be 3x and B's income be 5x. After adding Rs 160 to each, the ratio becomes 25:41. So (3x+160)/(5x+160) = 25/41. Cross-multiplying: 41(3x+160) = 25(5x+160), giving 123x+6560 = 125x+4000. Solving: 2x = 2560, x = 1280. Therefore A's income = 3x = 3×1280 = Rs 3840.