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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**

## Show Answer

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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