Quantitative Aptitude Ques 1970
Question: Amit and Brijesh started a business with initial investments in the ratio of 12: 11 and their annual profits were in the ratio of 4: 1. If Amit invested the money for 11 months, then for what time Brijesh invested the money?
Options:
A) 9 months
B) 3 months
C) 5 months
D) 10 months
Show Answer
Answer:
Correct Answer: B
Solution:
- Let investment of Amit $ =12x $ and investment of Brijesh $ =11x $ Let Brijesh invested the money for/months. Then, Amit’s investment: Brijesh’s investment $ =(12x\times 11):(11x\times y) $ $ =132x:11xy=12:y $
$ \therefore $ $ \frac{12}{y}=\frac{4}{1} $ [since, ratio of profit is 4 :1]
$ \Rightarrow 4y=12 $
$ \therefore $ $ y=\frac{12}{4}=3month $ Clearly, Brijesh invested money for 3 months.