### 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 C
$\begin{array}{cccccc} & \mathrm{A} & : & \mathrm{B} & : & \mathrm{C} \\ \text { Capital } \rightarrow & 48000 & : & 48000 & : & 48000 \\ \text { Time(year) } \rightarrow & 6 & & 10 & & 12 \\ \hline \text { Profit } \rightarrow & 6 & : & 10 & : & 12 \\ & 3 & : & 5 & : & 6 \end{array}$ Note: The capital of the partners are equal so the profit would be divided in the ratio of their time According to the question, $\begin{array}{l} (3+5+6) \text { units }=\text { Rs. } 5250 \\ 14 \text { units }=\text { Rs. } 5250 \\ 1 \text { unit }=\text { Rs. } 375 \end{array}$ $\begin{array}{l}\therefore\text{Share of A}\\ =375\times3\\ =\text{ Rs. }1125\\ \text{Share of B}\\ =375\times5\\ =\text{Rs.}\ 1875\\ \text{Share of C}\\ =375\times6\\ =\text{Rs.}\ 2250\end{array}$