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 $