Multiple choice

In a business P and R invested amounts in the ratio 2 : 1, whereas P and Q invested amounts in the ratio 3 : 2. If P's share in the annual profit is Rs.72600, then Q's share in the profit is

  1. Rs.24200

  2. Rs.48000

  3. Rs.36300

  4. Rs.48400
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

From P:R = 2:1 and P:Q = 3:2, let P = 6k (LCM of 2 and 3). Then R = 3k and Q = 4k. Investment ratios P:Q:R = 6:4:3. Q's share = (4/13) × Total Profit. P's share = (6/13) × Total Profit = Rs.72600. Total Profit = 72600 × 13/6 = Rs.157300. Q's share = (4/13) × 157300 = Rs.48400. Option D is correct. Option A (Rs.24200) would be R's share if total profit were Rs.104333, and Option C (Rs.36300) doesn't match the ratio.

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