Multiple choice

A sum of money is divided among P, Q, R and S in the ratio (3: 4: 9: 10) respectively. If the share of R is Rs.3580 more than the share of Q, then what is the total amount of money P and S receive together?

  1. Rs. 9308

  2. Rs. 9508

  3. Rs. 9608

  4. Rs. 9708
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A Correct answer
Explanation

Let each part be worth x. Then R = 9x and Q = 4x, so R - Q = 5x = 3580, giving x = 716. P + S = 3x + 10x = 13x = 13 × 716 = Rs. 9308.

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