###
**A, B and C are partners in a business partnership. A invested Rs. 4000 for whole year. B invested Rs. 6000 initially but increased this investment up to Rs. 8000 at the end of 4 months, while C invested Rs. 8000 initially, but withdraw Rs. 2000 at the end of 9 months. At the end of year total earned profit is Rs. 16950, find their share of profit ?**

A. Rs. 3600, Rs. 6600, Rs. 6750
B. Rs. 2000, Rs. 3050, Rs. 5400
C. Rs. 2450, Rs. 2460, Rs. 1456
D. None of these
**Answer: Option A**

## Show Answer

Solution(By Apex Team)

Total capital invested by A in 1 year
$\begin{array}{l}
=12 \times 4000 \\
=\text { Rs. } 48000
\end{array}$
Total capital invested by B in 1 year
$\begin{array}{l}
=4 \times 6000+8 \times 8000 \\
=24000+64000 \\
=\text { Rs. } 88000
\end{array}$
Total capital invested by C in 1 year
$\begin{array}{l}
=9 \times 8000+3 \times 6000 \\
=72000+18000 \\
=\text { Rs. } 90000
\end{array}$
$\begin{array}{ccc}&\text{ A}&:&\text{B}&:&\text{C}\\
\text{ Capital}\longrightarrow&48000&:&88000&:&90000\\
&24&:&44&:&45\end{array}$
According to the question,
$\begin{array}{l}\begin{array}{l}(24+44+45)\text{ units }=\text{ Rs. }16950\\
113\text{ units }=\text{ Rs. }16950\\
1\text{ unit }=\frac{16950}{113}=\text{ Rs. }150\end{array}\\
\text{ Hence, }\\
\text{ Profit of }\mathrm{A}=150\times24\\
\begin{aligned}&=\text{ Rs. }3600\\
\text{ Profit of }\mathrm{B}&=150\times44\\
&=\mathrm{Rs}.6600\\
\text{ Profit of }\mathrm{C}&=150\times45\\
&=\mathrm{Rs}.6750\end{aligned}\end{array}$

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