Multiple choice

Total salary of A, B and C is Rs 437. If 30%, 45% and 60% of the salary they would spend respectively then the ratio of their remaining salary will be 3: 5: 6. Find the initial salary of C?

  1. Rs 140

  2. Rs 231

  3. Rs 66

  4. Rs 132

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let salaries be A, B, C. After spending: A keeps 70%, B keeps 55%, C keeps 40%. Ratio of remaining is 0.7A : 0.55B : 0.4C = 3 : 5 : 6. Also A + B + C = 437. From ratio: 0.7A/3 = 0.55B/5 = 0.4C/6 = k. So A = 3k/0.7, B = 5k/0.55, C = 6k/0.4. Sum = 3k/0.7 + 5k/0.55 + 6k/0.4 = k(30/7 + 100/11 + 15) = k(4.29 + 9.09 + 15) = 28.38k = 437. So k ≈ 15.4. C = 6/0.4 × k = 15k ≈ 15 × 15.4 = 231. Option B is correct.

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