Multiple choice

A sum of Rs.76 is divided among P, Q and R in such a way that P gets Rs. 7 more than what Q gets and Q gets Rs. 6 more than what R gets. The ratio of their shares is

  1. $32: 25: 19$
  2. $32: 24: 20$
  3. $19: 25: 33$
  4. $19: 24: 33$
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A Correct answer
Explanation

Let R's share = x. Then Q's share = x + 6, P's share = (x + 6) + 7 = x + 13. Total = x + (x + 6) + (x + 13) = 3x + 19 = 76. So 3x = 57, x = 19. R = 19, Q = 25, P = 32. Ratio P:Q:R = 32:25:19. Verify: 32 + 25 + 19 = 76. Correct.

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