We need to identify the correct journal entry for treatment of the credit balance in Profit and Loss Account at the time of admission of a new partner.
Step 1: Understand the nature of the Profit and Loss Account balance.
A credit balance in the Profit and Loss Account represents accumulated profits (undistributed profits) of the firm. At the time of admission of a new partner, these accumulated profits belong to the old partners (Guru and Prakash) and should be transferred to their capital accounts in their old profit sharing ratio.
Step 2: Key rules for treatment of accumulated profits.
- Accumulated profits (credit balance in P\& L A/c) are distributed among the old partners in their old profit sharing ratio.
- The new partner is not entitled to any share in accumulated profits/losses existing before his admission.
- The journal entry is:
\[
\begin{array}{ll}
\text{Profit and Loss A/c (Credit balance)} & \text{Dr.} \\
\quad \text{To Old Partners' Capital A/cs (in old ratio)}
\end{array}
\]
Step 3: Apply to the given data.
- Credit balance in Profit and Loss A/c = ₹ 40,000
- Old partners: Guru and Prakash
- Old profit sharing ratio = 7 : 3
Distribution:
- Guru's share = \(40,000 \times \frac{7}{10} = 28,000\)
- Prakash's share = \(40,000 \times \frac{3}{10} = 12,000\)
Step 4: Journal entry.
\[
\begin{array}{ll}
\text{Profit and Loss A/c} & \text{Dr. 40,000} \\
\quad \text{To Guru's Capital A/c} & 28,000 \\
\quad \text{To Prakash's Capital A/c} & 12,000
\end{array}
\]
Step 5: Analyze each option.
- (A): Shows distribution as 21,000 and 9,000 (which would be in ratio 7:3 of 30,000, but total is 30,000 not 40,000). Also wrongly gives ₹ 9,000 to Anu (new partner) which is incorrect.
- (B): Shows Profit and Loss A/c Dr. 40,000; To Guru's Capital A/c 28,000; To Prakash's Capital A/c 12,000 ✓ Correct.
- (C): Shows debit to partners' capital accounts and credit to P\& L A/c, which is the entry for accumulated losses, not profits.
- (D): Shows debit to partners' capital accounts (28,000 and 12,000) and credit to P\& L A/c, which is also for losses.
Final Answer: (B) Profit and Loss A/c Dr. 40,000; To Guru's Capital A/c 28,000; To Prakash's Capital A/c 12,000