Answer :
Sure, let's go through the solution step by step.
### 1. Initial Figures
#### Liabilities:
- Capital X: ₹140,000
- Capital Y: ₹100,000
- Workmen Compensation Reserve: ₹40,000
- Creditors: ₹150,000
- Bills Payable: ₹10,000
#### Total Liabilities: ₹440,000
#### Assets:
- Plant and Machinery: ₹175,000
- Furniture and Fixture: ₹65,000
- Stock: ₹35,000
- Bills Receivable: ₹12,000
- Debtors: ₹103,000
- Less: Provision for Doubtful Debts: ₹7,000
- Cash and Bank Balance: ₹0
#### Total Assets: ₹383,000
### 2. Revaluation Adjustments
#### Plant and Machinery Revaluation:
- Decrease by ₹35,000
- New value: ₹175,000 - ₹35,000 = ₹140,000
#### Furniture and Fixture Revaluation:
- Adjust to ₹58,500
- New value: ₹58,500
#### Provision for Doubtful Debts:
- Increase by ₹3,000
- New provision: ₹7,000 + ₹3,000 = ₹10,000
#### Workmen Compensation Liability:
- Actual claim: ₹16,000
#### Adjustment in Creditors:
- Liability of ₹2,500 not likely to arise
- New value: ₹150,000 - ₹2,500 = ₹147,500
### 3. Adjusted Figures
#### Revalued Total Assets:
- Plant and Machinery: ₹140,000
- Furniture and Fixture: ₹58,500
- Stock: ₹35,000
- Bills Receivable: ₹12,000
- Debtors: ₹103,000
- Less: Provision for Doubtful Debts: ₹10,000
- Total Assets:
- ₹140,000 + ₹58,500 + ₹35,000 + ₹12,000 + (₹103,000 - ₹10,000) + ₹0 = ₹338,500
### 4. Computation of New Capital
#### Capital Contributions:
- X shares are 3/5.
- Y shares are 4/5.
##### Sharing Ratio Surrendered to Z:
- X Surrenders: 2/5 of his share.
- New Share: 3/5 - 2/5 = 1/5
- Y Surrenders: 1/5 of his share.
- New Share: 4/5 - 1/5 = 3/5
#### Total Goodwill of Z:
- Valued at ₹40,000
#### Total Capital After Admission of Z:
- X Contribution:
- Initial Capital: ₹140,000
- Plus Goodwill Part: 3/5 of ₹40,000 = ₹24,000
- Total: ₹140,000 + ₹24,000 = ₹164,000
- Y Contribution:
- Initial Capital: ₹100,000
- Plus Goodwill Part: 4/5 of ₹40,000 = ₹32,000
- Total: ₹100,000 + ₹32,000 = ₹132,000
- Remaining Goodwill Share for Z:
- Goodwill Part: 1/5 of ₹40,000 = ₹8,000
- (To make total goodwill, subtract X and Y elements):
- ₹40,000 - (₹24,000 + ₹32,000) = -[tex]\(₹8,000\)[/tex] (So, Z's effective capital: [tex]\(-(₹156,000)\)[/tex])
### Final Capital Accounts:
- Final Capital X: ₹164,000
- Final Capital Y: ₹132,000
- Final Capital Z: -₹156,000
### Summary:
[tex]\[ \text{Total Liabilities:} \quad ₹440,000 \quad (\text{including new liabilities}) \][/tex]
[tex]\[ \text{Total Initial Assets:} \quad ₹383,000 \quad \][/tex]
[tex]\[ \text{Total Revalued Assets:} \quad ₹338,500 \quad \][/tex]
[tex]\[ \text{Final Capital X:} \quad ₹164,000 \quad \][/tex]
[tex]\[ \text{Final Capital Y:} \quad ₹132,000 \quad \][/tex]
[tex]\[ \text{Final Capital Z:} \quad ₹-156,000 \quad \][/tex]
These figures illustrate the new total assets and liabilities, and capital accounts post-admission of the new partner Z after revaluation.
### 1. Initial Figures
#### Liabilities:
- Capital X: ₹140,000
- Capital Y: ₹100,000
- Workmen Compensation Reserve: ₹40,000
- Creditors: ₹150,000
- Bills Payable: ₹10,000
#### Total Liabilities: ₹440,000
#### Assets:
- Plant and Machinery: ₹175,000
- Furniture and Fixture: ₹65,000
- Stock: ₹35,000
- Bills Receivable: ₹12,000
- Debtors: ₹103,000
- Less: Provision for Doubtful Debts: ₹7,000
- Cash and Bank Balance: ₹0
#### Total Assets: ₹383,000
### 2. Revaluation Adjustments
#### Plant and Machinery Revaluation:
- Decrease by ₹35,000
- New value: ₹175,000 - ₹35,000 = ₹140,000
#### Furniture and Fixture Revaluation:
- Adjust to ₹58,500
- New value: ₹58,500
#### Provision for Doubtful Debts:
- Increase by ₹3,000
- New provision: ₹7,000 + ₹3,000 = ₹10,000
#### Workmen Compensation Liability:
- Actual claim: ₹16,000
#### Adjustment in Creditors:
- Liability of ₹2,500 not likely to arise
- New value: ₹150,000 - ₹2,500 = ₹147,500
### 3. Adjusted Figures
#### Revalued Total Assets:
- Plant and Machinery: ₹140,000
- Furniture and Fixture: ₹58,500
- Stock: ₹35,000
- Bills Receivable: ₹12,000
- Debtors: ₹103,000
- Less: Provision for Doubtful Debts: ₹10,000
- Total Assets:
- ₹140,000 + ₹58,500 + ₹35,000 + ₹12,000 + (₹103,000 - ₹10,000) + ₹0 = ₹338,500
### 4. Computation of New Capital
#### Capital Contributions:
- X shares are 3/5.
- Y shares are 4/5.
##### Sharing Ratio Surrendered to Z:
- X Surrenders: 2/5 of his share.
- New Share: 3/5 - 2/5 = 1/5
- Y Surrenders: 1/5 of his share.
- New Share: 4/5 - 1/5 = 3/5
#### Total Goodwill of Z:
- Valued at ₹40,000
#### Total Capital After Admission of Z:
- X Contribution:
- Initial Capital: ₹140,000
- Plus Goodwill Part: 3/5 of ₹40,000 = ₹24,000
- Total: ₹140,000 + ₹24,000 = ₹164,000
- Y Contribution:
- Initial Capital: ₹100,000
- Plus Goodwill Part: 4/5 of ₹40,000 = ₹32,000
- Total: ₹100,000 + ₹32,000 = ₹132,000
- Remaining Goodwill Share for Z:
- Goodwill Part: 1/5 of ₹40,000 = ₹8,000
- (To make total goodwill, subtract X and Y elements):
- ₹40,000 - (₹24,000 + ₹32,000) = -[tex]\(₹8,000\)[/tex] (So, Z's effective capital: [tex]\(-(₹156,000)\)[/tex])
### Final Capital Accounts:
- Final Capital X: ₹164,000
- Final Capital Y: ₹132,000
- Final Capital Z: -₹156,000
### Summary:
[tex]\[ \text{Total Liabilities:} \quad ₹440,000 \quad (\text{including new liabilities}) \][/tex]
[tex]\[ \text{Total Initial Assets:} \quad ₹383,000 \quad \][/tex]
[tex]\[ \text{Total Revalued Assets:} \quad ₹338,500 \quad \][/tex]
[tex]\[ \text{Final Capital X:} \quad ₹164,000 \quad \][/tex]
[tex]\[ \text{Final Capital Y:} \quad ₹132,000 \quad \][/tex]
[tex]\[ \text{Final Capital Z:} \quad ₹-156,000 \quad \][/tex]
These figures illustrate the new total assets and liabilities, and capital accounts post-admission of the new partner Z after revaluation.