Multiple choice

P, Q and R enter into a partnership with a total capital of Rs. 16,400. P's capital is Rs. 2,000 more than Q's and Rs. 4,000 less than R's. If the total profit at the end of the year is Rs. 4,920, the profit share of Q is

  1. Rs. 420

  2. Rs. 560

  3. Rs. 740

  4. Rs. 840

  5. Rs. 1120
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Q's capital be x. P = x + 2000. R = P + 4000 = x + 6000. Total = x + x + 2000 + x + 6000 = 3x + 8000 = 16400. 3x = 8400, so x = 2800. Capital ratios: P=4800, Q=2800, R=8800. Ratio P:Q:R = 48:28:88 = 12:7:22. Total parts = 41. Profit share of Q = (7/41) * 4920 = 7 * 120 = 840.

AI explanation

Let Q's capital be x, which makes P's capital (x + 2000) and R's capital (x + 6000). The sum of their capitals is x + x + 2000 + x + 6000 = 16400, so 3x + 8000 = 16400, yielding x = 2800. Since the time period is the same for all, their profit ratio equals their capital ratio, which is 4800 : 2800 : 8800 or 12 : 7 : 22. Q's profit share is calculated as 7/41 * 4920, which equals Rs. 840.

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