A sum of money is to be distributed among P, Q, R, and S in the proportion 5 : 2 : 4 : 3, respectively. If R gets Rs. 1000 more than S, what is the share of Q? A. 500 B. 1000 C. 1500 D. 2000

GATE 2022 · General Aptitude · Ratio Proportion · medium

Answer: Q's share is Rs 2000. Answer: D.

1. Express shares in terms of k: From ratio 5:2:4:3, let each unit = k rupees.
2. Find k using R - S = 1000: 4k - 3k = 1000 => k = 1000
3. Compute Q's share: Q = 2 * 1000 = Rs 2000