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A started a business with the capital of Rs. 500. After 2 months B joined A with Rs. 400. 6 months after the business started C joined with Rs. 800. If the total profit earned at the end of the year is Rs. 444 find the share of their profit ?

A. Rs. 180, Rs. 120, Rs. 144 B. Rs. 150, Rs. 130, Rs. 123 C. Rs. 160, Rs. 141, Rs. 125 D. Rs. 141, Rs. 110, Rs. 140 Answer: Option A
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Solution(By Apex Team)

$\begin{array}{ccccc} & \mathrm{A} & : & \mathrm{B} & : & \mathrm{C} \\ \text { Capital } & 500 & : & 400 & : & 800 \\ & \times & : & \times & : & \times \\ \text { Time } & 12 & : & 10 & : & 6 \\ \hline \text { Profit } & 6000 &:& 4000 &: & 4800 \\ & 15 & : & 10 & : & 12 \end{array}$ According to the question, $\begin{array}{l}(15+10+12)\text{ units }=\text{ Rs. }444\\ 37\text{ units }=\text{ Rs. }444\\ 1\text{ unit }=\frac{444}{37}=\text{ Rs. }12\\ \text{ Profit of }\mathrm{A}=12\times15\\ \quad=\text{ Rs. }180\\ \text{ Profit of }\mathrm{B}=12\times10\\ \quad=\text{ Rs. }120\\ \text{ Profit of }\mathrm{C}=12\times12\\ \quad=\text{ Rs. }144\end{array}$

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