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 BShow Answer
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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