Swati and Rajni enter into a partnership with their capitals in the ratio 5 : 6. At the end of 7 months Swati withdraws her capital. If they receive the profit in the ratio of 5 : 9, find how long was Rajni’s capital used ?
A. 10 months B. 12 months C. 14 months D. None of these Answer: Option DShow Answer
Solution(By Apex Team)
Suppose,
Swati invested Rs. 5x for 7 months
And
Rajni invested Rs. 6x for y months
Then,
$\begin{array}{l}
\Rightarrow \Large\frac{5 x \times 7}{6 x \times y}=\frac{5}{9} \\
\Rightarrow 30 y=315 \\
\Rightarrow y=10 \large\frac{1}{2}
\end{array}$
Hence, Rajni’s capital was used for $10 \frac{1}{2}$ months.
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