###
**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**

## Show Answer

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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