Question

Rohan and Mohan are partners in a firm sharing profits in the ratio of 5 : 3 respectively. They admit Bhim as a partner for `1/7`th share in the profit. The new profit sharing ratio will be 4 : 2 : 1. Calculate the sacrificing ratio of Rohan and Mohan.

Answer 1

1. Identify the Shares

Old Profit Sharing Ratio (Rohan : Mohan): 5 : 3

Rohan's Old Share = `5/8`

Mohan's Old Share = `3/8`

New Profit Sharing Ratio (Rohan : Mohan : Bhim): 4 : 2 : 1

Rohan's New Share = `4/7`

Mohan's New Share = `2/7`

2. Calculate Individual Sacrifice

Formula: Sacrifice = Old Share − New Share

Rohan's Sacrifice:

`5/8 - 4/7 = (35 -32)/56 = 3/56`

Mohan's Sacrifice:

`3/8 - 2/7 = (21 - 16)/56 = 5/56`

Since the denominators are the same (56), the Sacrificing Ratio of Rohan and Mohan is:

3 : 5