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Gaining share of Continuing Partner =

Solution

✅ Correct Option: 3

When there's a change in the profit-sharing ratio of a partnership firm (due to retirement, admission, or change in ratio), partners either gain or sacrifice their share.

A continuing partner gains when their share in profits increases from the old arrangement to the new arrangement.

Formula:

Gaining Share = New Share - Old Share


Understanding the logic:

If the new share is greater than the old share, the difference represents what the partner has gained.

For example:

  • A partner's old share = 25\frac{2}{5}
  • A partner's new share = 35\frac{3}{5}
  • Gaining share = 35−25=15\frac{3}{5} - \frac{2}{5} = \frac{1}{5}

The partner has gained 15\frac{1}{5} share in the profits.


Note: If New Share < Old Share, the result would be negative, indicating the partner is sacrificing rather than gaining. In such cases, the Sacrificing Share = Old Share - New Share (to express it as a positive value).

The correct option is Option 3: New share – Old share

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