Question: A began a business with Rs. 2250 and was joined afterwards by B with Rs. 2700. If the profits at the end of the year were divided in the ratio of 2:1, then after how much time B joined the business?
Options:
A) 5 months
B) 6 months
C) 3 months
D) 7 months
Show Answer
Answer:
Correct Answer: D
Solution:
- Let B remained in the business for x months. Then,
$ A:B=(2250\times 12):(2700\times x) $
$ \Rightarrow $ $ 2:1=(27000:2700x)=(10:x) $
$ \therefore $ $ \frac{10}{x}=\frac{2}{1} $ $ [\because ratioofprofitis2:1] $
$ \Rightarrow $ $ 2x=10 $
$ \therefore $ $ x=\frac{10}{2}=5 $
Clearly, B joined after $ (12-5)=7 $ months.