Partnership Ques 18

Question

Ravi starts a business with Rs. 45000. After a certain period of time he is joined by Mohan who invests Rs. 30000. At the end of the year they divide the profit in the ratio $9: 4$. After how many months did Mohan join Ravi?

(1) 4

(2) 5

(3) 6

(4) 2

(5) 7

(IBPS RRBs Officers CWE (Prelim Exam) 10.09.2017)

Show Answer

Answer: (1)

Solution: (1)

Let Mohan join the business after $x$ months.

According to the question,

$ \begin{aligned} & \frac{45000 \times 12}{30000(12-x)}=\frac{9}{4} \\ & \Rightarrow \frac{18}{12-x}=\frac{9}{4} \Rightarrow \frac{2}{12-x}=\frac{1}{4} \\ & \Rightarrow 12-x=8 \\ & \Rightarrow x=12-8=4 \text { month } \end{aligned} $