Multiple choice

A sum of Rs.10600 is divided among P, Q, R in such a way that P gets Rs.1400 more than what Q gets and Q gets Rs.1600 more than what R gets. The ratio of their shares is रु.10600 की राशि P, Q, R के मध्य इस तरह से विभाजित की जाती है कि P को Q से 1400 रुपये अधिक मिलते हैं और Q को R से 1600 रुपये अधिक मिलते हैं | उनके भागों का अनुपात है

  1. 16 : 9 : 18

  2. 27 : 18 : 10

  3. 25 : 18 : 10

  4. 16 : 25 : 10

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let R's share be x. Then Q gets x + 1600 and P gets x + 1600 + 1400 = x + 3000. Their total is x + (x + 1600) + (x + 3000) = 3x + 4600 = 10600. Solving gives x = 2000, so R = 2000, Q = 3600, P = 5000. The ratio P:Q:R simplifies from 5000:3600:2000 to 25:18:10. Option A (16:9:18) and D (16:25:10) don't match this pattern.