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A starts business with a capital of Rs. 14000. Five months later B joins and further two months later C joins them. If the profit sharing ratio in the end of year is 4 : 3 : 2, then the money invested by C was ?

A. Rs. 18000 B. Rs. 16800 C. Rs. 18600 D. Rs. 10800 Answer: Option B
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Solution(By Apex Team)

$\begin{array}{llll} & \text { A } & \text { B } & \text { C } \\ \text { Amounts invested } & 14000 & & \\ \text { Time (in months) } & 12 & 7 & 5 \\ \hline & 168000 & & \end{array}$ $\begin{array}{l}\text{Ratio of profits 4 : 3 :2}\\ \text{Let their profits 4x : 3x : 2x}\\ \Rightarrow4x=168000\\ \Rightarrow x=42000\\ \Rightarrow\text{Profit share of C}\\ \text{=2x}\\ =2\times42000\\ =\text{Rs. 84000}\\ \Rightarrow\text{Capital invested by C}\\ =\Large\frac{84000}{5}\\ =\text{Rs. 16800}\end{array}$

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