At the time of change in profit sharing ratio, existing goodwill is written off among the partners in:

Old Ratio

The correct answer is Option (3) - Old Ratio.

At the time of change in profit sharing ratio, existing goodwill is written off among the partners in old ratio.

If there is existing goodwill, the change in the profit-sharing ratio might mean that some partners are either gaining or sacrificing part of their share in the firm’s profits. To ensure fairness and that no partner is unfairly disadvantaged or benefitted by this change, the existing goodwill is written off or adjusted in their old ratio. The journal entry for this-
Partner's Capital A/c Dr.
   To Goodwill A/c