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 Rs. 4340 is divided. The share of C is ?
a) Rs. 1240
b) Rs. 1245
c) Rs. 1360
d) Rs. 1550
Answer: a
Explanation: Ratio of initial investments
$$\eqalign{
& = \frac{1}{3}:\frac{1}{4}:\frac{1}{5} \cr
& = 20:15:12 \cr} $$
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
$$\eqalign{
& {\text{C’s share}} = {\text{Rs}}{\text{.}}\left( {4340 \times \frac{4}{{14}}} \right) \cr
& = {\text{Rs}}{\text{.1240}} \cr} $$
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