Multiple choice

Partners A, B and C start a business. Twice of A's capital is equal to thrice of B's capital and B's capital is four times C's capital. Out of a total profit of Rs. 16,500 at the end of a year, B's share (in Rs.) is

  1. Rs. 4000

  2. Rs. 6000

  3. Rs. 7500

  4. Rs. 6600

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

2A = 3B, B = 4C. Let C = 1, then B = 4, A = 6. Ratio A:B:C = 6:4:1. Total parts = 11. B's share = (4/11) * 16500 = 4 * 1500 = 6000.

AI explanation

The partnership ratio is determined by the given conditions: twice A's capital equals thrice B's capital (2A = 3B), and B's capital is four times C's capital (B = 4C). Setting C's capital as 1, B's capital is 4, and solving 2A = 12 gives A's capital as 6. The ratio of their investments is 6:4:1, making the sum of the parts 11. Out of the total profit of Rs. 16,500, B's share is (4/11) of the total, which is Rs. 6000.

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