Question

Saurabh and Gaurav are equal partners. They admit Chunmun as a partner in their firm and the new ratio of all the three has been decided upon as 4 : 3 : 2. Find the sacrificing ratio.

Answer 1

1. Identify Shares

Old Ratio of Saurabh and Gaurav: 1 : 1

Saurabh's Old Share = `1/2`

Gaurav's Old Share = `1/2`

New Ratio of Saurabh, Gaurav, and Chunmun: 4 : 3 : 2

Saurabh's New Share = `4/9`

Gaurav's New Share = `3/9`

2. Calculate Individual Sacrifice

Formula: Sacrifice = Old Share − New Share

Saurabh's Sacrifice:

`1/2 - 4/9 = (9 - 8)/18 = 1/18`

Gaurav's Sacrifice:

`1/2 - 3/9 = (9 - 6)/18 = 3/18`

The Sacrificing Ratio between Saurabh and Gaurav is:

1 : 3