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### Question

Mr. X and Mr. Y start a venture with investments in the ratio 4 : 17. After 3 months, X withdraws $1/4$^{th} of his capital, and Y withdraws $1/17$^{th} of his capital. If the profit at the end of 10 months is 1176, then what is the share of X?

**A**

Rs. 198.

**B**

Rs. 298.

**C**

Rs. 98.

**D**

Rs. 398.

**Soln.**

**Ans: a**

After 3 months, the ratio of their capitals is 3:16. The ratio of money-months of X and Y is ${4 × 3 + 3 × 7}/{17 × 3 + 16 × 7}$, which is $33/163$. Profit of X = $33/{33 + 163}$ × 1176 = Rs. 198.