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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. 7400Rs. 6000Rs. 4800Rs. 1720

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. 7400Rs. 6000Rs. 4800Rs. 1720

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Solution

The profit share of a partner is calculated based on the product of the investment amount and the time period for which the investment was made.

Let's calculate the share for each partner:

  1. A's share: A invested Rs. 15000 for 3 months. So, A's share = 15000 * 3 = 45000
  2. B's share: B invested Rs. 40000 for 9 months. So, B's share = 40000 * 9 = 360000
  3. C's share: C invested Rs. 30000 for 6 months (since C joined after 3 months and the total time period is 9 months). So, C's share = 30000 * 6 = 180000

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

The profit is distributed in the ratio of their investment-time products. So, B's profit share = B's share / Total share * Total profit = 360000 / 585000 * 7800 = Rs. 4800

So, the correct answer is Rs. 4800.

This problem has been solved

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