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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
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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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