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A and B share profits and losses in a firm in the ratio of 3 : 2. And C entered in the firm as a new partner; his profit sharing ratio is $\Large\frac{1}{4}$. If C has taken his share of profit from A and B in equal ratio, then the new profit shearing ratio will be ?

A. 19 : 11 : 1 B. 19 : 11 : 10 C. 10 : 11 : 9 D. 10 : 11 : 19 Answer: Option B
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Solution(By Apex Team)

$\begin{aligned}\text{Let the total share}&=\ 200\ \text{units}\\ \therefore\text{Share of C}&=200\times\frac{1}{4}\\ &=50\ \text{units}\end{aligned}$ $\begin{array}{l}\text{Remaining share}\\ =200-50\\ =150\ \text{units}\end{array}$ $\begin{array}{l}\therefore\text{ Share of }\mathrm{A}=\frac{200}{3+2}\times3\\ \begin{aligned}&=120\text{ units }\\ \text{ Share of }\mathrm{B}=&\frac{200}{3+2}\times2\\ =&80\text{ units }\end{aligned}\end{array}$ According to the question, C received equal amounts from A and B $\begin{array}{l} \therefore \text { A’s remaining share }\\ =(120-25)\\ =95 \end{array}$ $\begin{array}{l} \text { B’s remaining share }\\ =(80-25)\\ =55 \end{array}$ $\begin{aligned}&A&:&B&:&C\\ \text{ New Ratio }\rightarrow&95&:&55&:&50\\ &19&:&11&:&10\end{aligned}$

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