At the time of change in profit sharing ratio, existing goodwill is written off among the partners in:
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For reconstitution of a firm, remember:
- **Existing goodwill** → written off in **old ratio**
- **New goodwill** (due to change) → adjusted via **sacrificing or gaining ratio**
Step 1: Understand the context.
When there is a change in the profit-sharing ratio among existing partners (due to admission, retirement, or reconstitution), goodwill already appearing in the books (i.e., existing goodwill) needs to be adjusted.
Step 2: Treatment of existing goodwill.
Existing goodwill is a past accumulated benefit and must be written off among the old partners based on their old profit-sharing ratio to maintain fairness.
Step 3: Rule application.
The correct rule is:
\[
\text{Existing goodwill is written off in the old profit-sharing ratio.}
\]