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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.