Multiple choice

A sum of money is divided among P, Q, R and S in the ratio 4 : 3 : 9 : 10, respectively. If the share of S is Rs. 2460 more than the share of P, then find the share of Q and R together.

  1. Rs. 4408

  2. Rs. 5510

  3. Rs. 6612

  4. Rs. 4920

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

Let the shares be 4x, 3x, 9x, 10x. S - P = 10x - 4x = 6x = 2460. x = 410. We need Q + R = 3x + 9x = 12x. 12 * 410 = 4920.

AI explanation

Let the shares of P, Q, R, and S be represented by 4x, 3x, 9x, and 10x respectively; the difference between the shares of S and P is 10x minus 4x, which equals 6x. Since S's share is Rs. 2,460 more than P's, we have 6x = 2,460, meaning x = 410. The combined share of Q and R is 3x plus 9x, which equals 12x; multiplying 12 by 410 gives Rs. 4,920.

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