Multiple choice

A ,B and C spends 4/5, 17/20 and 3/4 of their incomes respectively. If the ratio between their savings is 8 : 9 : 20 and income of C is Rs. 18,000 more than income of A, then find the income of B?

  1. Rs 36,000

  2. Rs 30,000

  3. Rs 27,000

  4. Rs 24,000

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

Let A's income be x. A saves 1/5 of income (spends 4/5), B saves 3/20 of income (spends 17/20), and C saves 1/4 of income (spends 3/4). Given savings ratio 8:9:20, we have A's savings = k/5, B's savings = 3k/20, C's savings = k/4. The ratio (k/5):(3k/20):(k/4) = 4:3:5, but given ratio is 8:9:20. Scaling: 8/4 = 2, 9/3 = 3, 20/5 = 4. So incomes are 2x:3x:4x. Since C earns Rs. 18,000 more than A: 4x - 2x = 18000, x = 9000. B's income = 3x = Rs. 27,000.