A) 6 months
B) 9 months
C) 10 months
D) 1 months
Correct Answer: C
Solution :
| [c] Let the total capital be Rs. x and let B's money be used for .y months. A's capital = Rs. \[\frac{x}{4},\] B's capital \[=\text{Rs}.\,\left( x-\frac{x}{4} \right)=\text{Rs}.\,\frac{3x}{4}\] Ratio of investments of A and \[B=\left( \frac{x}{4}\times 15 \right):\left( \frac{3x}{4}\times y \right)\] \[=\frac{15}{4}:\frac{3y}{4}=5:y\] Ratio of profits of A and \[B=\frac{1}{3}:\frac{2}{3}=1:2\] \[\therefore \] \[\frac{5}{y}=\frac{1}{2}\]\[\Rightarrow \]\[y=10\] months |
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