The ratio of investments of two partners A and B is 11 : 12 and the ratio of their profits is 2 : 3. If A invested the money for 8 months, then for how much time B invested his money?
Answer
Answer (as printed):
Explanation
Suppose A invested ₹$11x$ for 8 months and B invested ₹$12x$ for $y$ months. Then, $\frac{11x\times8}{12x\times y}=\frac{2}{3} \Rightarrow 24y=264 \Rightarrow y=11$. Hence, B invested the money for 11 months.
Explanation as extracted from the printed page; notation may be imperfect.