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A 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

A 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

To find the share of B, we need to calculate the ratio of their investments and the time period for which they were involved in the partnership.

Let's start by calculating the total investment of A, B, and C. A invested Rs. 15000, B invested Rs. 40000, and C joined later with Rs. 30000. Therefore, the total investment is Rs. (15000 + 40000 + 30000) = Rs. 85000.

Next, we need to calculate the time period for which A, B, and C were involved in the partnership. A left after 3 months, so the time period for A is 3 months. B and C were involved for a total of 9 months.

Now, we can calculate the share of B using the formula:

Share of B = (B's investment * B's time period) / (Total investment * Total time period)

Share of B = (40000 * 9) / (85000 * 9) = 360000 / 765000 = 0.4706

Finally, we can calculate the actual share of B in the profit:

Share of B = 0.4706 * Rs. 7800 = Rs. 3664.68

Therefore, the share of B is approximately Rs. 3664.68.

This problem has been solved

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