Question

X,Y and Z are partners in a firm sharing profits and losses in the raio of 5:3:2. Y retires from the firmand his share was taken up by X and Y in the rstio of 2:1. Calculate the new profit sharing ratio.

Answer 1

★ Appropriate Question :

X,Y and Z are partners in a firm sharing profits and losses in the raio of 5:3:2. Y retires from the firm and his share was taken up by X and Z in the ratio of 2:1. Calculate the new profit sharing ratio.

Answer :

The New Profit Sharing Ratio = X : Z = 7 : 3

Explanation:

Solution :

Old Ratio :

X : Y : Z = 5 : 3 : 2

• X's Share = $\dfrac{5}{10}$

• Y's Share = $\dfrac{3}{10}$

• Z's Share = $\dfrac{2}{10}$

Y retires from the firm.

His share was taken up by X and Z in the ratio of 2 : 1.

• Y's Share = $\dfrac{3}{10}$

• Y's Share taken by X =

$\longrightarrow \: \dfrac{3}{10} \: \times \: \dfrac{2}{3} \: = \: \dfrac{6}{30}$

$\longrightarrow \: \dfrac{6}{30} \: = \: \dfrac{2}{10}$

• Y's Share taken by Z =

$\longrightarrow \: \dfrac{3}{10} \: \times \: \dfrac{1}{3} \: = \: \dfrac{3}{30}$

$\longrightarrow \: \dfrac{3}{30} \: = \: \dfrac{1}{10}$

★ The New Profit Sharing Ratio :

• X's New Share =

$\longrightarrow\: \dfrac{5}{10} \: + \dfrac{2}{10}$

$\longrightarrow \: \dfrac{7}{10}$

• Z's New Share =

$\longrightarrow \: \dfrac{2}{10} \: + \: \dfrac{1}{10}$

$\longrightarrow \: \dfrac{3}{10}$

The New Profit Sharing Ratio :

• X : Z

$\longrightarrow \: \dfrac{7}{10}\::\dfrac{3}{10}$

$\longrightarrow$ 7 : 3

Therefore, The New Profit Sharing Ratio = X : Z = 7 : 3

Answer 2

Answer:For Y=11/30

For Z=4/30

Explanation:- This question is solved on the basis of X,Y and Z are partners in a firm sharing profits and losses in the raio of 5:3:2. X retires from the firmand his share was taken up by Y and Z in the ratio of 2:1. Calculate the new profit sharing ratio.

gain ratio = new ratio - old ratio

For Y=

=2/3 - 3/10

= new ratio multiply by 10 and

old ratio multiply by 3

so,

= 20/30 - 9/30

= 11/30

for Z=

= 1/3 - 2/10

= new ratio multiply by 10

and

old ratio multiply by 3

so,

10/30 - 6/30

= 4/30

Pleass check if this is correct appreciate me

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