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: Option A
Solution(By Examveda Team)
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
$$\eqalign{ & \therefore {\text{C's share}} \cr & = {\text{Rs}}{\text{.}}\left( {4340 \times \frac{4}{{14}}} \right) \cr & = {\text{Rs}}{\text{.1240}} \cr} $$
Related Questions on Partnership
A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these
A. Rs. 40000
B. Rs. 50000
C. Rs. 60000
D. Rs. 70000
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