Question

Q.3 ( when remaining partners take specific portion)
P ,Q and R are partners sharing profits in ratio of 4:3:2 .Q retires and his share was taken up by P and R in ratio 3:2 . find new profits sharing ratio​

Answer 1

Answer:

New profit sharing ratio = 4:3:3 and Gain Ratio = 13:11

Answer 2

Answer:

New Profit Sharing Ratio :

P : R = 29 : 16

Explanation:

Solution :

Old Ratio = P : Q : R = 4 : 3 : 2

• P's Share = $\dfrac{4}{9}$

• Q's Share = $\dfrac{3}{9}$

• R's Share = $\dfrac{2}{9}$

Q retires and his share was taken up by P and R in ratio 3 : 2

• Q's Share taken by P =

$\longrightarrow{\dfrac{3}{9} \times \dfrac{3}{5} = \bf{\dfrac{9}{45}}}$

• Q's Share taken by R =

$\longrightarrow{\dfrac{3}{9} \times \dfrac{2}{5} = \bf{\dfrac{6}{45}}}$

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New Profit Sharing Ratio :

• P's New Share =

$\longrightarrow{\dfrac{4}{9} + \dfrac{9}{45} = \dfrac{(20 \: + \: 9)}{45}}$

$\longrightarrow{\bf{ \dfrac{29}{45}}}$

• R's New Share =

$\longrightarrow{\dfrac{2}{9} + \dfrac{6}{45} = \dfrac{(10 \: + \: 6)}{45}}$

$\longrightarrow{\bf{\dfrac{16}{45}}}$

__________________________

New Profit Sharing Ratio = P : R

$\longrightarrow{\dfrac{29}{45} : \dfrac{16}{45}}$

$\longrightarrow$ 29 : 16

Therefore, New Profit Sharing Ratio is P : R = 29 : 16