Quantitative Aptitude Ques 445

Question: A and B entered into a partnership with capitals in the ratio 5: 6. At the end of 8 months, A withdraws his capital. They received profits in the ratio of 5: 9. B invested capital for

Options:

A) 6 months

B) 8 months

C) 10 months

D) 12 months

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let capital of A and B be 5x and 6x, Let B invested for y months. Ratio of their investments, $ \frac{5x\times 8}{6x\times y}=\frac{40x}{6xy}=\frac{40}{6y} $ Ratio of their profit = 5 : 9

$ \Rightarrow $ $ \frac{40}{6y}=\frac{5}{9} $
$ \Rightarrow , $ $ y=12,months $