Multiple choice

A sum of money is divided among A, B, C and D in the ratio of 3:4:9:10 respectively. If the share of C's is Rs. 2850 more than the share of B, then what is the total amount of money of A and D together?

  1. 7240

  2. 7410

  3. 6579

  4. 2389

  5. 7650
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B Correct answer
Explanation

Let shares be 3x, 4x, 9x, 10x. C - B = 9x - 4x = 5x = 2850, so x = 570. A + D = 3x + 10x = 13x = 13 * 570 = 7410.

AI explanation

The difference between the shares of C and B corresponds to 9 - 4 = 5 parts of the ratio. Since this difference is Rs. 2850, the value of one part is 2850 / 5 = 570. The total parts for A and D together are 3 + 10 = 13, so their combined amount is 13 * 570 = 7410.

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