A) 6 months
B) 8 months
C) 10 months
D) 12 months
Correct Answer: C
Solution :
[c] A's profit: B's profit \[=\frac{1}{3}:\frac{2}{3}=1:2\] \[\therefore \,\,\,\frac{A's\text{ }equivalent\text{ }capital}{B's\text{ }equivalent\text{ }capital}=\frac{1}{2}\] \[\Rightarrow \,\,\,\frac{\frac{x}{4}\times 15}{\frac{3x}{4}\times n}=\frac{1}{2}\Rightarrow \,\,\frac{15}{3n}=\frac{1}{2}\] \[\Rightarrow \,\,n=10\,\,months\]
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