Multiple choice

A sum of money is divided between A, B, C and D such a way that the ratio of A and B is 2:3, B:C is 1:2 and C:D is 3:4. If share of D is Rs 648 more than the share of A, then find the total money?

  1. Rs 2,484

  2. Rs 1,944

  3. Rs 2160

  4. Rs 2052
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A:B = 2:3, B:C = 1:2 = 3:6, C:D = 3:4 = 6:8. Combined ratio A:B:C:D = 2:3:6:8. Let shares be 2k, 3k, 6k, 8k. Given D - A = 8k - 2k = 6k = Rs. 648, so k = 108. Total = 2k + 3k + 6k + 8k = 19k = 19 × 108 = Rs. 2,052. This matches option D.

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