###
**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**

## Show Answer

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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