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The ratio in which the continuing partners have acquired the share from the retiring/deceased partner is called:

Solution

✅ Correct Option: 2

When a partner retires or dies from a partnership firm, their share in profits is taken over by the continuing partners. The ratio in which the continuing partners acquire this share is called the Gaining Ratio.

Gaining Ratio = New Profit Share - Old Profit Share

This ratio is crucial because:

The continuing partners must compensate the retiring/deceased partner (or their legal heirs) for the share they are acquiring. This is done by paying their share of goodwill and accumulated profits in their gaining ratio.

Distinguishing between different ratios:

Old Profit Sharing Ratio: The ratio in which partners shared profits before retirement/death

New Profit Sharing Ratio: The ratio in which continuing partners will share profits after retirement/death

Gaining Ratio: The ratio in which continuing partners acquire the outgoing partner's share (New Share - Old Share)

Sacrificing Ratio: Used when a new partner is admitted; existing partners give up a portion of their share (Old Share - New Share)

Since the question specifically mentions "acquiring share from retiring/deceased partner," the correct answer is Gaining Ratio.

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