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1. 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

Solution:

Suppose,
Swati invested Rs. 5x for 7 months
And
Rajni invested Rs. 6x for y months
Then,

\begin{aligned} \Rightarrow \frac{5 x \times 7}{6 x \times y} = \frac{5}{9} \\ \Rightarrow 30 y = 315 \\ \Rightarrow y = 10 \frac{1}{2} \end{aligned}

Hence, Rajni's capital was used for

10 \frac{1}{2}

months

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