Three partner A, B and C started a business by investing Rs. 48000 each. After 6 months A left the business after 10 months B left the business and after 12 months C left the business. If total earned profit is Rs. 5250, then find the share of A, B and C ?
A. Rs. 1125, Rs. 1825, Rs. 2250 B. Rs. 1125, Rs. 1800, Rs. 2200 C. Rs. 1125, Rs. 1875, Rs. 2250 D. Rs. 1175, Rs. 1256, Rs. 2350 Answer: Option CShow Answer
Solution(By Apex Team)
$\begin{array}{cccccc}
& \mathrm{A} & : & \mathrm{B} & : & \mathrm{C} \\
\text { Capital } \rightarrow & 48000 & : & 48000 & : & 48000 \\
\text { Time(year) } \rightarrow & 6 & & 10 & & 12 \\
\hline \text { Profit } \rightarrow & 6 & : & 10 & : & 12 \\
& 3 & : & 5 & : & 6
\end{array}$
Note: The capital of the partners are equal so the profit would be divided in the ratio of their time
According to the question,
$\begin{array}{l}
(3+5+6) \text { units }=\text { Rs. } 5250 \\
14 \text { units }=\text { Rs. } 5250 \\
1 \text { unit }=\text { Rs. } 375
\end{array}$
$\begin{array}{l}\therefore\text{Share of A}\\
=375\times3\\
=\text{ Rs. }1125\\
\text{Share of B}\\
=375\times5\\
=\text{Rs.}\ 1875\\
\text{Share of C}\\
=375\times6\\
=\text{Rs.}\ 2250\end{array}$
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