Step 1: Understanding goodwill treatment at admission
When a new partner is admitted and goodwill already exists in the books, it is written off to adjust the existing goodwill among the old partners. Step 2: Old profit-sharing ratio
The goodwill balance is written off among the old partners in their old profit-sharing ratio (the ratio before admission of the new partner). Step 3: Reason
This adjustment ensures the new partner does not benefit from goodwill created prior to admission. Step 4: Conclusion
Therefore, goodwill is written off among old partners in the old profit-sharing ratio.