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Question

In a partnership, A invests one-sixth of the capital for one-sixth of the time, B invests one-third of the capital for one-third of the time and C, the rest of the capital for the whole time. Find A's share of the total profit of Rs.2300?


A

Rs.150

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B

Rs.180

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C

Rs.190

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D

Rs.100

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E

Rs.170

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Solution

The correct option is D

Rs.100


Investment of A ×time of investment of AInvestment of B ×time of investment of B= Profit of APtofit of B

If the total investment is `x', profits will be in the ratio - x36: x9: x2

If the profit of A is `x'

Profit of B = 4x

Profit of C = 18x

18x + 4x + x =23000

x = Rs.100


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