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A and B started a business by investing Rs. 36000 and Rs. 45000 respectively. After 4 months B withdraws $\Large\frac{4}{9}$ of his investment. Its 5 months after she again invested $\Large\frac{11}{9}$ of its original investment. If the total earned profit at the end of the year, is Rs. 117240, then who will get more money as a share of profit and how much ?

A. Rs. 15500 B. Rs. 12450 C. Rs. 14245 D. Rs. 13560 Answer: Option D
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Solution(By Apex Team)

Total capital invested by A in 1 year $\begin{array}{l}=36000\times12\\ =\text{ Rs. }432000\end{array}$ Total capital invested by B in 1 year $\begin{array}{l} =45000 \times 4+(45000-20000) \times 5+(55000+25000) \times 3 \\ =180000+125000+240000 \\ =\text { Rs. } 545000 \end{array}$ $\begin{aligned}&\mathrm{A}\quad&:&\quad\mathrm{B}\\ \text{ Ratio of Capital }\rightarrow&432000&:&545000\\ \text{ Ratio of Profit }\rightarrow&\quad432&:&545\end{aligned}$ According to the question, $\begin{aligned}&(432+545)\text{ units }=\text{ Rs. }117240\\ &977\text{ units }=\text{ Rs. }117240\\ &1\text{ unit }=\text{ Rs. }\frac{117240}{977}\\ &=\text{ Rs. }120\end{aligned}$ $\begin{array}{l} \text { Difference in profit }\\ =(545-432) \times 120\\ =13560 \end{array}$ It means B will get Rs. 13560 more than A

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