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A and B enter into partnership. At the end of 9 months B withdraws but A’s capitals is used for one month more. If they receive profit in the ratio of 5 : 6, then the ratio of their capital is ?

A. 3 : 4 B. 4 : 3 C. 5 : 6 D. 6 : 5 Answer: Option A
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Solution(By Apex Team)

Let A’s capital = Rs. x Let B’s capital = Rs. y Now, according to the question, $\begin{array}{rlr}A&&B\\ \text{ Capital }\rightarrow x&&y\\ \text{ Time (in month) }\rightarrow(9+1)=10&&9\\ \text{ Ratio of profit }\rightarrow5&&6\end{array}$ $\begin{array}{l}\text{ We know, }\\ \Large\frac{10\times x}{x\times y}=\frac{5}{6}\\ \Leftrightarrow\Large\frac{x}{y}=\frac{3}{4}\end{array}$ Hence the required ratio of capital of A and B is = 3 : 4

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