Question

X and Y are partners and sharing profits in the ratio of 4:3 . Z was admitted as a new partner, Z acquired 1/7th share from X and 1/3rd share of Y. Calculate the New profit sharing ratio.

Answer 1

Answer:

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Explanation:

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Answer 2

Answer:

The New Profit Sharing Ratio :

X : Y : Z = 24 : 14 : 11

Explanation:

Solution :

Old Ratio :

X : Y = 4 : 3

• X's Share = $\dfrac{4}{7}$

• Y's Share = $\dfrac{3}{7}$

Z was admitted as a new partner

• Z acquired Share from X :

$\longrightarrow \: \dfrac{4}{7} \times \dfrac{1}{7} = \dfrac{4}{49}$

• Z acquired Share from Y :

$\longrightarrow \: \dfrac{3}{7} \times \dfrac{1}{3} = \dfrac{3}{21}$

• X's New Share =

$\longrightarrow \: \dfrac{4}{7} - \dfrac{4}{49}$

$\longrightarrow \: \dfrac{28 \: - \: 4}{49} \: = \: \dfrac{24}{49}$

• Y's New Share =

$\longrightarrow \: \dfrac{3}{7} - \dfrac{3}{21}$

$\longrightarrow \: \dfrac{9 \: - \: 3}{21} \: = \: \dfrac{6}{21}$

• Z's Share =

$\longrightarrow \: \dfrac{4}{49} \: + \: \dfrac{3}{21}$

$\longrightarrow \:\dfrac{(4 \: \times \: 3)}{(49 \: \times \: 3)} \: + \: \dfrac{(3 \: \times \: 7)}{(21 \: \times \: 7)}$

$\longrightarrow \:\dfrac{12}{147} \: + \: \dfrac{21}{147} \: = \: \dfrac{33}{147}$

★ The New Profit Sharing Ratio :

• X : Y : Z

• $\dfrac{24}{49} : \dfrac{6}{21} : \dfrac{33}{147}$

$\longrightarrow\:\dfrac{72 \: : \: 42 \: : \: 33 }{147}$

The New Profit Sharing Ratio =

$\longrightarrow$ X : Y : Z = 72 : 42 : 33

$\longrightarrow$ 24 : 14 : 11

∴ The New Profit Sharing Ratio :

X : Y : Z = 24 : 14 : 11