The ratio of investments of two partners X and Y is 11 : 12 and the ratio of their profit is 2 : 3. If X invested the money for 8 months, then the time for which Y invested the money is ?

A. 8 months B. 9 months C. 10 months D. 11 months Answer: Option D
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Solution(By Apex Team)

Let capital of X be Rs. 11x and Y’s capital be Rs. 12x and let time for which Y invested capital is T2 months by using formula, $\begin{array}{l}\Leftrightarrow\Large\frac{\mathrm{C}_1\times\mathrm{T}_1}{\mathrm{C}_2\times\mathrm{T}_2}=\frac{\mathrm{P}_1}{\mathrm{P}_2}\\ \Leftrightarrow\Large\frac{11x\times8}{12x\times\mathrm{T}_2}=\frac{2}{3}\end{array}$ So, $\mathrm{T}_{2}=11 \text { months }$ Hence the time for which Y invested his capital is 11 months

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