A B and C entered in to a partnership A invested RS. 16000 for 9 months B invested 12000 for 6 months and C invested RS. 8000 for 12 months. At the end of the year there was a profit of RS. 26000. Find the share of B in the profit.OptionsRS. 10000RS. 6000RS. 9000RS. 8000RS. 7500
Question
A B and C entered in to a partnership A invested RS. 16000 for 9 months B invested 12000 for 6 months and C invested RS. 8000 for 12 months. At the end of the year there was a profit of RS. 26000. Find the share of B in the profit.OptionsRS. 10000RS. 6000RS. 9000RS. 8000RS. 7500
Solution
To find the share of B in the profit, we need to calculate the ratio of B's investment to the total investment and then multiply it by the total profit.
First, let's calculate the total investment: A invested RS. 16000 for 9 months, so A's investment is 16000 * 9 = RS. 144000. B invested RS. 12000 for 6 months, so B's investment is 12000 * 6 = RS. 72000. C invested RS. 8000 for 12 months, so C's investment is 8000 * 12 = RS. 96000.
The total investment is 144000 + 72000 + 96000 = RS. 312000.
Next, let's calculate the ratio of B's investment to the total investment: B's investment is 72000, and the total investment is 312000. So, the ratio of B's investment to the total investment is 72000 / 312000 = 0.23.
Finally, let's calculate B's share in the profit: The total profit is RS. 26000. B's share in the profit is 0.23 * 26000 = RS. 5980.
Therefore, the share of B in the profit is RS. 5980.
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