A, B and C are partners in a business. Their shares are in the proportion of $\Large\frac{1}{3}: \frac{1}{4}: \frac{1}{5}$ 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
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Solution(By Apex Team)

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

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