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Select the correct answerA and B entered in to a partnership with investments of Rs. 15000 and Rs. 40000 respectively. After 3 months A left from the business, at the same time C joins with Rs. 30000, At the end of 9 months they got Rs. 7800 as profit. Find the share of B?OptionsRs. 4800Rs. 7400Rs. 1720Rs. 6000

Question

Select the correct answerA and B entered in to a partnership with investments of Rs. 15000 and Rs. 40000 respectively. After 3 months A left from the business, at the same time C joins with Rs. 30000, At the end of 9 months they got Rs. 7800 as profit. Find the share of B?OptionsRs. 4800Rs. 7400Rs. 1720Rs. 6000

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Solution

The profit share of a partner in a business is directly proportional to the product of the investment amount and the time period for which the investment was made.

Let's calculate the ratio of investments for A, B and C:

  • A invested Rs. 15000 for 3 months, so A's share is 15000*3 = 45000
  • B invested Rs. 40000 for 9 months, so B's share is 40000*9 = 360000
  • C invested Rs. 30000 for 6 months (since C joined after A left, which is 3 months into the business, and the total time is 9 months), so C's share is 30000*6 = 180000

The total investment is 45000 (A's share) + 360000 (B's share) + 180000 (C's share) = 585000

The ratio of B's share to the total investment is 360000/585000 = 0.61538 (approx)

So, B's share of the total profit (Rs. 7800) is 0.61538 * 7800 = Rs. 4800 (approx)

So, the correct answer is Rs. 4800.

This problem has been solved

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