Question

Rekha, Ruchi and Suruchi are partners. Ruchi retires. Calculate new ratio if continuing partners acquired her share in the ratio of 2 : 3. Also mention the gaining ratio.

Answer 1

Since the old profit-sharing ratio is not mentioned, it is assumed to be equal according to the Indian Partnership Act, 1932.

Old Ratio: Rekha : Ruchi : Suruchi = 1 : 1 : 1

Ruchi's Share = `1/3`

1. Gaining Ratio

The problem explicitly states that the continuing partners acquire Ruchi's share in the ratio of 2 : 3

Gaining Ratio = 2 : 3

2. Share Gained by Continuing Partners

Rekha's Gain: `1/3 xx 2/5 = 2/15`

Suruchi's Gain: `1/3 xx 3/5 = 3/15`

3. New Profit-Sharing Ratio

New Share = Old Share + Share Gained

Rekha's New Share: `1/3 + 2/15 = 5/15 + 2/15 = 7/15`

Suruchi's New Share: `1/3 + 3/15 = 5/15 + 3/15 = 8/15`

The New Ratio between Rekha and Suruchi is 7 : 8, and the Gaining Ratio is 2 : 3.