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5.Sweta, Geeta and Jyoti are equal partners. Geeta retires. Geeta's share is gained by Sweta andJyoti equally. New profit and loss sharing ratio of Sweta and Jyoti will be...(A) 3:1 (B) 2:1 (C) 1:2 (D) 1:1​

Answer»

(D) 1 : 1

New PROFIT and LOSS sharing ratio of Sweta and Jyoti will be 1 : 1

Step-by-step Explanation:

Solution :

Old Ratio :

Sweta, Geeta and Jyoti are equal partners

So,

Sweta : Geeta : Jyoti = 1 : 1 : 1

Sweta's Share = \sf{\dfrac{1}{3}}

Geeta's Share = \sf{\dfrac{1}{3}}

Jyoti's Share = \sf{\dfrac{1}{3}}

Geeta retires, Geeta's Share is Gained by Sweta and Jyoti equally :

Geeta's Share = \sf{\dfrac{1}{3}}

Share of Geeta TAKEN by Sweta =

\sf{\longrightarrow{\dfrac{1}{3}  \:  \times  \:  \dfrac{1}{2}  \:  =  \:  \dfrac{1}{6}}}

Share of Geeta taken by Jyoti =

\sf{\longrightarrow{\dfrac{1}{3}  \:  \times  \:  \dfrac{1}{2}  \:  =  \:  \dfrac{1}{6}}}

New Profit Share = Old Profit Share + Share taken from Geeta

Sweta's New Share =

\sf{\longrightarrow{\dfrac{1}{3}  \:  +  \:  \dfrac{1}{6}  \:  =  \:  \dfrac{2 \:  +  \: 1}{6} \:   =   \: \dfrac{3}{6}}}

Jyoti's New Share =

\sf{\longrightarrow{\dfrac{1}{3}  \:  +  \:  \dfrac{1}{6}  \:  =  \:  \dfrac{2 \:  +  \: 1}{6} \:   =   \: \dfrac{3}{6}}}

New Profit Sharing Ratio = Sweta : Jyoti

\sf{\longrightarrow{\dfrac{3}{6}  :  \dfrac{3}{6}}}

\longrightarrow 3 : 3 = 1 : 1

New profit and loss sharing ratio of Sweta and Jyoti will be 1 : 1



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