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

Jyoti’s share is distributed from Anshu (2/10) and Nitu (1/10). After adjusting, the new ratio is 4:3:3.
Hence, the correct answer is Option 1.

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.