Step 1: Understanding the Question:
This problem requires determining the distribution of revaluation profit or loss upon the admission of a new partner.
The core concept is to realize that revaluation adjustments are meant to update the values of assets and liabilities for the benefit (or detriment) of the existing (old) partners before the new partner joins.
Step 2: Key Formulas and Approach:
1. Revaluation Result = (Appreciation + Unrecorded Assets) - (Depreciation + Unrecorded Liabilities).
2. Distribution Rule: Revaluation profit/loss is shared only by OLD partners in their OLD profit-sharing ratio.
3. New Partner's Share in Revaluation = Nil.
Step 3: Detailed Explanation:
Loss on Machinery: The book value is Rs. 1,00,000 and it depreciates by 20%.
\[ \text{Loss} = 1,00,000 \times 20% = 20,000 \]
Gain on Building: The book value is Rs. 80,000 and it appreciates by 10%.
\[ \text{Gain} = 80,000 \times 10% = 8,000 \]
Unrecorded Debtors: Bringing Rs. 2,000 of unrecorded debtors into the books increases the assets, which is a gain.
\[ \text{Gain} = 2,000 \]
Net Revaluation Result:
\[ \text{Net Result} = (8,000 + 2,000) - 20,000 = 10,000 - 20,000 = -10,000 \]
This indicates a net Revaluation Loss of Rs. 10,000.
Distribution: The loss of Rs. 10,000 must be shared between A and B in their old ratio of 1:3.
\[ \text{B's Share} = 10,000 \times \frac{3}{4} = 7,500 \]
C's Position: C is a new partner. The revaluation happens at the point of his entry to ensure the balance sheet is fair. Therefore, C does not partake in any revaluation profit or loss resulting from past asset fluctuations.
\[ \text{C's Share} = 0 \]
Step 4: Final Answer:
The revaluation loss shared by B is Rs. 7,500, and C receives nothing (Rs. 0).
The correct option is (C).