Final answer:
The amount debited for goodwill when admitting C to the partnership is $6,000.
Step-by-step explanation:
To calculate the debited amount for goodwill when admitting C to the partnership, we need to determine the total capital balance after C's contribution. The total capital balance before C's admission is $100,000 (($50,000 + $30,000 + $20,000)). After C contributes $40,000, the total capital balance becomes $140,000 (($100,000 + $40,000)).
Now, we need to calculate the share proportion of each partner in the new total capital. P's share remains 30%, L's share remains 20%, O's share remains 50%, and C's share is 20% (as stated in the question).
The amount debited for goodwill is calculated by subtracting the existing capital balance from the new capital balance multiplied by the share proportion. Therefore, the amount debited for goodwill is $6,000 (($140,000 - $100,000) * 20%)).