Question

Anshu and Nitu are partners sharing profits in the ratio of 3:2. They admitted Jyoti as a new partner for 3/10 share. Jyoti acquired 2/10 from Anshu and 1/10 from Nitu. Calculate the new profit sharing ratio of Anshu , Nitu and Jyoti

• A. 4 : 3 : 3
• B. 3 : 4 : 3
• C. 3 : 3 : 4
• D. 3 : 2 : 1

Answer 1

The Correct Option is A

In this question, Anshu and Nitu share the profits in the ratio of 3:2. Jyoti is admitted as a new partner for a 3/10 share in the future profits. She acquires her share by sacrificing from Anshu and Nitu, where she acquires 2/10 from Anshu and 1/10 from Nitu. 

Step 1: Calculate Jyoti's Share
Jyoti’s total share in the new profit-sharing ratio is 3/10, which is the sum of the share she acquired from Anshu (2/10) and Nitu (1/10).

Jyoti’s share = $ \frac{3}{10} $

Step 2: Calculate the Sacrifice of Anshu and Nitu
The total sacrifice made by Anshu is 2/10, and by Nitu is 1/10, which is the amount Jyoti acquires from them.

Step 3: Calculate New Profit-Sharing Ratio
Anshu’s new share is:

Anshu’s new share = Old share - Sacrifice = $ \frac{3}{5} - \frac{2}{10} = \frac{6}{10} - \frac{2}{10} = \frac{4}{10} $

Nitu’s new share is:

Nitu’s new share = Old share - Sacrifice = $ \frac{2}{5} - \frac{1}{10} = \frac{4}{10} - \frac{1}{10} = \frac{3}{10} $

Jyoti’s share is already given as 3/10.

Thus, the new profit-sharing ratio is:

Anshu : Nitu : Jyoti = $ \frac{4}{10} : \frac{3}{10} : \frac{3}{10} $

Simplifying, we get:

New profit-sharing ratio = $ 4 : 3 : 3 $

Answer 2

Calculating New Profit-Sharing Ratio After Jyoti's Admission 

This document outlines the steps to determine the new profit-sharing ratio among Anshu, Nitu, and Jyoti after Jyoti's admission into the partnership.

1. Original Profit Sharing Ratio:

Anshu and Nitu initially share profits in a 3:2 ratio. This ratio represents Anshu’s and Nitu’s shares of the entire partnership (equivalent to $\frac{10}{10}$ or 1) before Jyoti’s admission.

Anshu's original share: $\frac{3}{5}$

Nitu's original share: $\frac{2}{5}$

1. Calculating the Shares Transferred to Jyoti:

Jyoti’s share in the partnership is $\frac{3}{10}$, which she acquired as follows:

• $\frac{2}{10}$ from Anshu
• $\frac{1}{10}$ from Nitu

1. Calculating Anshu and Nitu’s New Shares:
   • Anshu’s New Share:

Anshu’s New Share = Anshu’s Original Share − Share Given to Jyoti

Anshu's New Share = $\frac{3}{5} - \frac{2}{10} = \frac{6}{10} - \frac{2}{10} = \frac{4}{10}$

• Nitu’s New Share:

Nitu’s New Share = Nitu’s Original Share − Share Given to Jyoti

Nitu's New Share = $\frac{2}{5} - \frac{1}{10} = \frac{4}{10} - \frac{1}{10} = \frac{3}{10}$

• Jyoti's Share:

Jyoti’s share remains $\frac{3}{10}$ as given.

1. New Profit Sharing Ratio:

The new profit-sharing ratio for Anshu, Nitu, and Jyoti is 4:3:3.

Conclusion:

The new profit-sharing ratio among Anshu, Nitu, and Jyoti is 4:3:3.