### 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

### 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

A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these

A. Rs. 4000
B. Rs. 5000
C. Rs. 6000
D. Rs. 7000

A. Rs. 2380
B. Rs. 2300
C. Rs. 2280
D. Rs. 2260