Multiple choice

The ratio of the income of John to that of Danny is 5 : 4 and the ratio of their expenses is 3 : 2. If each of them saves Rs. 1200 at the end of the year, then what is the income of Danny?

  1. Rs. 3000

  2. Rs. 4800

  3. Rs. 1200

  4. Rs. 2400

  5. Rs. 600

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

Let incomes be 5x and 4x, expenses 3y and 2y. 5x - 3y = 1200 and 4x - 2y = 1200. From the second, 2y = 4x - 1200, so 3y = 6x - 1800. Substitute into the first: 5x - (6x - 1800) = 1200, so -x + 1800 = 1200, x = 600. Danny's income = 4x = 2400.