A, B and C are partners in a business. Their shares are in the proportion of 1/3:1/4:1/5 . A withdraws half of his capital after 15 months and after another 15 months, a profit of Rs. 4340 is divided. The share of C is ?

Answer: Option A

Ratio of initial investments
$$\begin{array}{rl}& =\frac{1}{3}:\frac{1}{4}:\frac{1}{5}\\ & =20:15:12\end{array}$$
Let their initial investments be 20x, 15x and 12x respectively
= A : B : C
= (20x × 15 + 10x × 15) : (15x × 30) : (12x × 30)
= 450x : 450x : 360x
= 5 : 5 : 4
$$\begin{array}{rl}& \therefore \text{C’s share}\\ & =\text{Rs}\text{.}\left(4340\times \frac{4}{14}\right)\\ & =\text{Rs}\text{.1240}\end{array}$$