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.

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