Quantitative Aptitude Ques 1834
Question: Aayush and Babloo are partners in a business. Aayush contributes $ \frac{1}{4} $ of the capital for 15 months and Babloo received $ \frac{2}{3} $ of the profit. How long Babloo’s money was used?
Options:
A) 10 months
B) 9 months
C) 11 months
D) 7 months
E) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
- Let the total capital be Rs. x and Babloo’s money is used for y months. Capital of Aayush $ =\frac{x}{4} $
$ \therefore $ Capital of Babloo $ =( x-\frac{x}{4} )=\frac{3x}{4} $ Ratio of investments of Aayush and Babloo $ =( \frac{x}{4}\times 15 ):( \frac{3x}{4}\times y )=\frac{15}{4}:\frac{3y}{4}=5:y $ Ratio of profits of Aayush and Babloo $ =\frac{1}{3}:\frac{2}{3}=1:2 $
$ \therefore $ $ \frac{5}{y}=\frac{1}{2} $
$ \Rightarrow $ $ y=10 $
Hence, Babloo’s money was used for 10 months.
BETA
