Question

Ans. New Ratio = 9:21: 10.]
X
Xतथा Y एक फर्म में साझेदार थे तथा लाभ-हानि 2: 1 के अनुपात में बाँटते थे। उन्होंने Z को लाभ-हानि में 25% के हिस्से के
लिए एक नया साझेदार बनाया। X, Y, तथा Z का नया लाभ-वितरण अनुपात ज्ञात करें।
X and Y were partners in a firm sharing profits and losses in the ratio of 2 : 1. They admitted Z as a new partner
for 25% share in profits
. Calculate the new profit sharing ratio of X, Y and Z.
NAY Ratio = 2 : 1 : 1]​

Answer 1

Explanation:

Old ratio =

X : Y = 2:1

They admitted Z as a new partner for 25% share in profits

Z = 25/100 = 1/4

let,total profit share = 1

remaining share =

1-1/4 = 3/4

X's new share = 3/4 × 2/3 = 6/12

Y's new share = 3/4 × 1/3 = 3/12

Z's share = 1/4 = 3/12

6:3:3 = 2:1:1

.°. The new profit sharing ratio of X, Y and Z = 2:1:1

Answer 2

Answer:

The New Profit Sharing Ratio :

X : Y : Z = 2 : 1 : 1

Explanation:

Solution :

Old Ratio =

X : Y = 2 : 1

• X's Share = $\dfrac{2}{3}$

• Y's Share = $\dfrac{1}{3}$

They admitted Z as a new partner

for 25 % Share in profits

• Z's Share = $\dfrac{25}{100}$

Let,

Total Profit Share = 1

• Z's Share = $\dfrac{25}{100} = \dfrac{1}{4}$

So,

Remaining Share =

$1 - \dfrac{1}{4} = \dfrac{3}{4}$

• X's New Share =

$\longrightarrow \:\dfrac{3}{4} \: \times \: \dfrac{2}{3}$

$\longrightarrow \:\dfrac{6}{12}$

• Y's New Share =

$\longrightarrow \:\dfrac{3}{4} \: \times \: \dfrac{1}{3}$

$\longrightarrow \: \dfrac{3}{12}$

• Z's Share =

$\dfrac{1}{4} \: = \: \dfrac{3}{12}$

The New Profit Sharing Ratio :

X : Y : Z = $\dfrac{6}{12} : \dfrac{3}{12} : \dfrac{3}{12}$

$\longrightarrow$ 6 : 3 : 3 = 2 : 1 : 1

∴ The New Profit Sharing Ratio :

X : Y : Z = 2 : 1 : 1