Question

5.Sweta, Geeta and Jyoti are equal partners. Geeta retires. Geeta's share is gained by Sweta and
Jyoti 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 1

Explanation:

old ratio of firm =

Sweta, Geeta and Jyoti are equal partners

Sweta : Geeta :Jyoti = 1:1:1

Geeta retires. Geeta's share is gained by Sweta and Jyoti equally

Geeta's share = 1/3

Sweta and Jyoti taken Geeta's share equally

1/3 × 1/2 = 1/6

Sweta's new share = 1/6 + 1/3 =2+3/6 = 3/6

Jyoti's new share = 1/6 + 1/3 =2+3/6 = 3/6

New ratio =

Sweta : Jyoti = 3/6 : 3/6

= 3 : 3 = 1 :1

Option : (D) 1:1

Sweta : Jyoti = 1 : 1

Answer 2

(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