Question

Murli, Navin and Prakash are partners sharing profits in the ratio of 3:2:1.Murli retire and surrender 2/3rd of his share in favour of Navin and remaining share in favour of Prakash. Calculate new profit sharing ratio and gaining ratio of the remaining partners.​

Answer 1

Explanation:

old ratio =

Murli : Navin : Prakash = 3:2:1

Murli retire and surrender 2/3rd of his share in favour of Navin.

Murli's share = 3/6

Navin taken share from murli =

= 3/6 × 2/3 = 6/18 = 2/6

Remaining share is given to Prakash =

= 3/6 - 2/6 = 1/6

New ratio =

Navin's new share =

= 2/6 + 2/6 = 4/6

Prakash's new share =

= 1/6 + 1/6 = 2/6

New ratio =

Navin : Prakash = 4/6 : 2/6 = 4 : 2

Gain Ratio= New ratio - old ratio

• Navin's = 4/6 - 2/6 = 2/6

• Prakash's = 2/6 - 1/6 = 1/6

Gain Ratio =

Navin : Prakash = 2/6 : 1/6 = 2:1

Hence, New ratio = Navin : Prakash = 4:2

Gain Ratio = Navin : Prakash = 2 : 1

Answer 2

Answer:

Explanation:

★ Old Ratio :

Murli : Navin : Prakash = 3 : 2 : 1

• Murli's Share = $\dfrac{3}{6}$

• Navin's Share = $\dfrac{2}{6}$

• Prakash's Share = $\dfrac{1}{6}$

Murli retire,

• Murli gives 2/3rd of his share in favour of Navin.

• Murli's share = $\dfrac{3}{6}$

• Murli's Share acquired by Navin =

$\longrightarrow{\dfrac{3}{6} \times \dfrac{2}{3} = \dfrac{6}{18}}$

$\longrightarrow{\dfrac{6}{18} = \dfrac{2}{6}}$

• Murli gives remaining share in favour of Prakash.

Murli's Share acquired by Prakash (Remaining Share) =

$\longrightarrow{\dfrac{3}{6} - \dfrac{2}{6} = \dfrac{1}{6}}$

★ New Profitfit Sharing Ratio :

New Ratio = Old Share + Share taken from Murli

• Navin's New Share =

$\longrightarrow{\dfrac{2}{6} \: + \: \dfrac{2}{6} = \dfrac{4}{6}}$

• Prakash's New Share =

$\longrightarrow{ \dfrac{1}{6} + \dfrac{1}{6} = \dfrac{2}{6} }$

New Profitfit Sharing Ratio :

• Navin : Prakash

• $\dfrac{4}{6} : \dfrac{2}{6}$

$\longrightarrow$ 4 : 2

★ Gainining Ratio :

Gain Ratio = New Ratio - Old Ratio

Navin acquired Murli's Share = $\dfrac{2}{6}$

Navin's Gain = $\dfrac{2}{6}$

Prakash acquired Murli's Share = $\dfrac{1}{6}$

Prakash's Gain = $\dfrac{1}{6}$

Gaining Ratio =

• Navin : Prakash

• $\dfrac{2}{6} : \dfrac{1}{6}$

$\longrightarrow$ 2 : 1

Therefore, New Profitfit Sharing Ratio =

Navin : Prakash = 4 : 2

Gaining Ratio =

Navin : Prakash = 2 : 1