Q170
ArithmeticRatio, Proportion & Mixtures
A and B started a partnership in which A contributed $\frac{1}{4}$ of the capital for 9 months. If A received $\frac{1}{3}$ of the profit, for how long B's capital was invested?
- a.6 months
- b.8 months
- c.10 months
- d.12 months
Answer: (A) 6 months
A put in 1 part and B 3 parts of the capital, and A's profit share of $\frac{1}{3}$ means A : B = 1 : 2. So (1 × 9) : (3 × t) = 1 : 2, giving 3t = 18 and t = 6 months. 12 months would give A only $\frac{1}{5}$ of the profit.