A, B and C are partners in a business. Their shares are in the proportion of $\frac{1}{3}: \frac{1}{4}: \frac{1}{5}$. A withdraws half of his capital after 15 months and after another 15 months, a profit of ₹ 4340 is divided. The share of C is
(a)₹ 1240
(b)₹ 1245
(c)₹ 1360
(d)₹ 1550
Answer
Answer (as printed): A
Explanation
Ratio of initial investments $=\frac{1}{3}: \frac{1}{4}: \frac{1}{5}=20: 15: 12$. Let their initial investments be $20 x, 15 x$ and $12 x$ respectively. $$\begin{aligned} & \text { A }: \text { B }: \text { C }=(20 x \times 15+10 x \times 15):(15 x \times 30):(12 x \times 30) \\ & =450 x: 450 x: 360 x=5: 5: 4 . \\ & \therefore \quad \text { C's share }=₹\left(4340 \times \frac{4}{14}\right)=₹ 1240 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.