Multiple choice

A and B start a partnership business with capitals of Rs. 16,000 and Rs. 20,000. At the end of the 1 year 6 months, they introduce C, who invests Rs. 12,000. At the end of 3 years, they got a profit of Rs. 12,600. Find the share of C in the profit.

  1. Rs. 2400

  2. Rs. 1800

  3. Rs. 2800

  4. Rs. 4600

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A: 16000 * 36 months = 576000. B: 20000 * 36 months = 720000. C: 12000 * 18 months = 216000. Ratio A:B:C = 576:720:216 = 8:10:3. Total parts = 21. C's share = (3/21) * 12600 = 1800.

AI explanation

Since C joins after 1 year and 6 months, which is 18 months, C's money is invested for the remaining 18 months of the 3-year period. C's effective capital ratio is 12000 * 18 = 216000, while A's is 16000 * 36 = 576000 and B's is 20000 * 36 = 720000. The total effective capital is 1512000, so C's share of the total profit of 12600 is (216000/1512000) * 12600 = 1800. The share of C in the profit is Rs. 1,800.

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