Question

A, B, C are partners sharing profits in the ratio of 3:2:1, C retired and new profit sharing ratio is 3:2 gaining ratio will be

Answer 1

Answer:

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Answer 2

Answer:

Gaining Ratio will be A : B = 3 : 2.

Explanation:

Solution :

Old Ratio :

A : B : C = 3 : 2 : 1

• A's Share = $\sf{\dfrac{3}{6}}$

• B's Share = $\sf{\dfrac{2}{6}}$

• C's Share = $\sf{\dfrac{1}{6}}$

C retired

New Profit Sharing Ratio =

A : B = 3 : 2

New Share of A = $\sf{\dfrac{3}{5}}$

New Share of B = $\sf{\dfrac{2}{5}}$

★ Gaining Ratio :

Gaining Ratio = New Ratio - Old Ratio

• A's Gain =

$\sf{\longrightarrow{\dfrac{3}{5} - \dfrac{3}{6} = \dfrac{(18 \: - \: 15)}{30}}}$

$\sf{\longrightarrow{\dfrac{3}{30}}}$

• B's Gain =

$\sf{\longrightarrow{\dfrac{2}{5} - \dfrac{2}{6} = \dfrac{(12 \: - \: 10)}{30}}}$

$\sf{\longrightarrow{\dfrac{2}{30}}}$

Gaining Ratio :

• A : B

• $\sf{\dfrac{3}{30} : \dfrac{2}{30}}$

$\longrightarrow$ 3 : 2

Therefore, Gaining Ratio will be A : B = 3 : 2.