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1. X and Y are partners in a business. They invest in the ratio 5 : 6, at the end of 8 months X withdraws his capital. If they receive profits in the ratio of 5 : 9. Find how long Y's investment was used ?

A. 12 months

B. 10 months

C. 15 months

D. 14 months

Solution:

Let Y's investment is used for T months → Now by using formula

\begin{aligned} \frac{5 \times 8}{6 \times T_{2}} = \frac{5}{9} \\ T = 12 months \end{aligned}

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