Discussion of Question with ID = 010 under Partnerships

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Question

Mr. X and Mr. Y start a venture with investments in the ratio 2 : 9. After 3 months, X withdraws $1/2$th of his capital, and Y withdraws $1/9$th of his capital. If the profit at the end of 10 months is 288, then what is the share of X?

A

Rs. 39.

B

Rs. 139.

C

Rs. 61.

D

Rs. 239.

Soln.
Ans: a

After 3 months, the ratio of their capitals is 1:8. The ratio of money-months of X and Y is ${2 × 3 + 1 × 7}/{9 × 3 + 8 × 7}$, which is $13/83$. Profit of X = $13/{13 + 83}$ × 288 = Rs. 39.


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