Multiple choice

A, B, C start a business jointly. Twice the investment of A is equal to thrice the investment of B and the investment of B is four times the investment of C. Find the share of B in annual profit of Rs. 297000.

  1. Rs. 258000

  2. Rs. 108000

  3. Rs. 208000

  4. Rs. 118000
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B Correct answer
Explanation

2A = 3B and B = 4C. Let C = x, then B = 4x, A = 6x. Ratio A:B:C = 6:4:1. Total parts = 11. Share of B = (4/11) * 297000 = 4 * 27000 = 108000.

AI explanation

Using the given conditions, establish the ratio of investments: 2A = 3B means A to B is 3 to 2, and B = 4C means B to C is 4 to 1. Combining these gives a unified investment ratio of A to B to C as 6 to 4 to 1. The total parts in the ratio equals 11, and B's share of the 297000 annual profit is calculated as (4 / 11) * 297000, which equals 108000.

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