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 DShow Answer
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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