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 AShow Answer
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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