### Rahul and Bharti are partners in a business. Rahul contributes $\frac{1}{4} \text { th }$ capital for 15 months and Bharti received $\frac{2}{3}$ of profit. For how long Bharti money was used.

A. 8 months B. 10 months C. 11 months D. 17 months Answer: Option B

### Solution(By Apex Team)

\begin{array}{l}\text{ Let the total profit be }Rs.Z\\ \begin{aligned}\text{ Bharti’s share }&=\frac{2}{3}Z\\ \text{ Rahul’s share }&=Z-\frac{2}{3}Z\\ &=\frac{Z}{3}\end{aligned}\end{array} \begin{aligned}&\text{ Rahul:Bharti }\\ &=\frac{Z}{3}:\frac{2}{3}Z=1:2\end{aligned} \begin{aligned}&\text{Now let the total capital be Rs X,}\\ &\text{and Bharti capital was used for Y months.}\\ &\text{then, Rahul capital will be}\ \frac{1}{4}X\\ &\text{and Bharati CApital will be}\ \left(X-\frac{1}{4}X\right)\\ &=\frac{3X}{4}\\ &\Rightarrow\frac{\frac{1}{4}X\times15}{\frac{3}{4}X\times Y}=\frac{1}{2}\\ &\therefore\text{Y}=\frac{15\times2}{3}=10\end{aligned} So, Bharati’s money was used for 10 months

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

A. Rs. 40000
B. Rs. 50000
C. Rs. 60000
D. Rs. 70000