Multiple choice

The sum of the income of A, B, C is Rs.72000, if they expense 80% , 85% and 75% and the ratio of their savings is 8 : 9 : 20. Then find the salary of A.

  1. Rs. 20000

  2. Rs. 16000

  3. Rs. 22000

  4. Rs. 18000
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B Correct answer
Explanation

Let incomes be A, B, C. Savings = (1 - expense%) x income. So A_savings = 0.2A, B_savings = 0.15B, C_savings = 0.25C. Given 0.2A : 0.15B : 0.25C = 8 : 9 : 20. Solving: 0.2A = 8k, so A = 40k. 0.15B = 9k, B = 60k. 0.25C = 20k, C = 80k. Total A+B+C = 180k = 72000, so k = 400. Thus A = 40 x 400 = 16000.

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