A,B and C enter into a partnership.They invest Rs.50000,Rs.70000 and Rs.80000 respectively.At the end of the first year B withdraws Rs.20000,while at the end of the second year C withdraws Rs.40000.In what ratio will be the profit is shared at the end of 3 years?45:51:6051:25:8535:74:56None of these
Question
A,B and C enter into a partnership.They invest Rs.50000,Rs.70000 and Rs.80000 respectively.At the end of the first year B withdraws Rs.20000,while at the end of the second year C withdraws Rs.40000.In what ratio will be the profit is shared at the end of 3 years?45:51:6051:25:8535:74:56None of these
Solution
The profit in a partnership is divided according to the capital invested and the time for which the capital is invested.
Let's calculate the capital for each partner for the time it was invested:
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A invested Rs.50000 for 3 years. So, his capital-time contribution is 50000*3 = 150000.
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B invested Rs.70000 for the first year and then withdrew Rs.20000. So, for the next two years, his investment was Rs.50000. His capital-time contribution is 700001 + 500002 = 170000.
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C invested Rs.80000 for the first two years and then withdrew Rs.40000. So, for the last year, his investment was Rs.40000. His capital-time contribution is 800002 + 400001 = 200000.
Now, let's calculate the ratio of their capital-time contributions:
The ratio is 150000:170000:200000.
This ratio can be simplified by dividing each number by 10000, which gives us 15:17:20.
So, the profit will be shared in the ratio 15:17:20.
None of the given options match this ratio. So, the correct answer is "None of these".
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