Balance Sheet of Badal and Bijli
as at 31st March 2019

Raina was admitted on the above date as a new partner for \(\frac{1}{6}\) share in the profits of the firm. The terms of the agreement were as follows:

(i) Raina will bring ₹ 40,000 as her capital, and the capitals of Badal and Bijli will be adjusted on the basis of Raina's capital by opening Current Accounts.

(ii) Raina will bring her share of goodwill premium for ₹ 12,000 in cash.

(iii) The building was overvalued by ₹ 15,000 and stock by ₹ 3,000.

(iv) A provision of 10% was to be created on debtors for bad debts.



Answer :

### Solution

#### Step 1: Calculation of Raina's Capital Contribution

- Raina is admitted with a \(\frac{1}{6}\) share in the profits.
- Raina will bring \(₹ 40,000\) as her capital.

#### Step 2: Adjusting Capitals of Badal and Bijli

- The total capital of the firm after Raina's admission should equate with her \(\frac{1}{6}\) share.
- Therefore, the firm's total capital will be:
[tex]\[ \text{Total Capital} = ₹ 40,000 \times 6 = ₹ 240,000 \][/tex]
- Raina’s capital is \( \frac{1}{6} \times ₹ 240,000 = ₹ 40,000 \).
- This implies Badal and Bijli will share the remaining ₹ 200,000 between them.

#### Step 3: Goodwill Adjustment

- Raina will bring goodwill premium of ₹ 12,000 in cash.
- Goodwill should be divided between Badal and Bijli in their old profit-sharing ratio.
Assuming the old ratio is 1:1:
- Badal's share = \(\frac{12,000}{2} = ₹ 6,000\)
- Bijli's share = \(\frac{12,000}{2} = ₹ 6,000\)

#### Step 4: Revaluation Account Adjustments

1. Building Revaluation:
- Increased by ₹ 15,000
2. Stock Revaluation:
- Increased by ₹ 3,000

Total increment in asset value:
[tex]\[ ₹ 15,000 + ₹ 3,000 = ₹ 18,000 \][/tex]

#### Step 5: Provision for Bad Debts

- A provision of \(10\%\) is to be created on debtors for bad debts.
Assuming debtors amount before provision:
Let’s assume debtors amount is \( ₹ 50,000 \).
- Provision for bad debt = \(10\% \text{ of } ₹ 50,000 = ₹ 5,000\)

#### Summary of Adjustments:

- Building and stock revaluation increase the assets by ₹ 18,000.
- Provision for bad debts decrease the asset by ₹ 5,000.

#### Net Impact on Equity:

- Net revaluation impact:
[tex]\[ ₹ 18,000 - ₹ 5,000 = ₹ 13,000 \][/tex]
- Adjust this net revaluation gain among Badal and Bijli equally, assuming old ratio is 1:1:
[tex]\[ \text{Each partner's share} = \frac{₹ 13,000}{2} = ₹ 6,500 \][/tex]

### Final Adjustments in Capitals

- Badal's Capital after adjustment:
[tex]\[ \text{Old Capital} + Goodwill share + Revaluation gain \][/tex]
Assume Badal's capital before adjustments = \( B \).
Here's the updated calculation:
[tex]\[ B + ₹ 6,000 + ₹ 6,500 = B + ₹ 12,500 \][/tex]

- Bijli's Capital after adjustment:
Similarly, let Bijli's capital before adjustments = \( J \).
[tex]\[ J + ₹ 6,000 + ₹ 6,500 = J + ₹ 12,500 \][/tex]

### Current Account Adjustments

- Both Badal and Bijli’s current accounts will be adjusted so the sum of their capitals matches the recalculated value after Raina’s entry.

This detailed explanation aligns the admission of a new partner and the corresponding adjustments in the balance sheet per the given terms.