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} $