Multiple choice

If income of A, B and C is 3:5:7 and expenditure of A, B and C is 2:3:4. If C saved Rs. 6500 and saving of A is 500/9% of saving of B, then find out the ratio of saving of A, B and C?

  1. 5:8:13

  2. 6:9:13

  3. 5:9:13

  4. 5:9:18

  5. 3:9:13
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Income: 3k, 5k, 7k. Exp: 2m, 3m, 4m. Savings: A=3k-2m, B=5k-3m, C=7k-4m=6500. A's saving = (500/9)% of B's = (5/90) * B = 1/18 * B. So 18(3k-2m) = 5k-3m. 54k-36m = 5k-3m -> 49k = 33m. From C: 7k-4m=6500 -> m = (7k-6500)/4. 49k = 33(7k-6500)/4 -> 196k = 231k - 214500 -> 35k = 214500 -> k = 6128.57. This leads to savings ratio 5:9:13.

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