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At the time of retirement of a partner, the difference between the Old Profit Sharing Ratio and the New Profit Sharing Ratio is a negative outcome for a remaining partner. It indicates that :-

Solution

✅ Correct Option: 1

When a partner retires, the remaining partners acquire the retiring partner's share, which affects their profit sharing ratios.

The question states that for a remaining partner:

Old Ratio - New Ratio = Negative value

This can be rewritten as:

Old Ratio < New Ratio

or

New Ratio > Old Ratio


When the New Profit Sharing Ratio is greater than the Old Profit Sharing Ratio, it means the remaining partner's share in profits has increased after retirement.

An increase in profit share means the remaining partner will now receive a larger portion of profits than before. This is clearly a gain for the remaining partner.

For example: If a partner's share increases from 25\frac{2}{5} to 12\frac{1}{2}, then:

Old - New = 25\frac{2}{5} - 12\frac{1}{2} = 4−510\frac{4-5}{10} = −110\frac{-1}{10} (negative)

The partner's share increased from 40% to 50%, which is a gain of 10%.


The concept of "sacrificing" applies when a partner gives up a portion of their share (Old > New), not when they acquire more share. Therefore, remaining partner is gaining is the correct answer.

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