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 [SSC (CGL) 2011] |
A) 6 months
B) 8 months
C) 10 months
D) 12 months
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 |
\[\Rightarrow \] \[\frac{40}{6y}=\frac{5}{9}\]\[\Rightarrow \,\]\[y=12\,months\] |
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