Step 1: Calculate the old and new profit-sharing ratios.
\[
\text{Old Ratio} = 3:2:4:1
\]
\[
\text{New Ratio} = 1:1:1:1
\]
Step 2: Calculate the sacrifice or gain for each partner.
\[
\text{Sacrificing Ratio} = \text{Old Share} - \text{New Share}
\]
Step 3: Distribute the goodwill.
The goodwill of ₹20,00,000 is distributed based on the sacrificing ratio (Madhu:Atul = 2:6):
\[
\text{Madhu's Share of Goodwill} = ₹20,00,000 \times \frac{2}{8} = ₹5,00,000
\]
\[
\text{Atul's Share of Goodwill} = ₹20,00,000 \times \frac{6}{8} = ₹15,00,000
\]
Step 4: Distribute the General Reserve.
The General Reserve of ₹1,00,000 is distributed in the old profit-sharing ratio (3:2:4:1):
\[
\text{Madhu's Share} = ₹1,00,000 \times \frac{3}{10} = ₹30,000
\]
\[
\text{Raj's Share} = ₹1,00,000 \times \frac{2}{10} = ₹20,000
\]
\[
\text{Atul's Share} = ₹1,00,000 \times \frac{4}{10} = ₹40,000
\]
\[
\text{Prachi's Share} = ₹1,00,000 \times \frac{1}{10} = ₹10,000
\]
Step 5: Journal Entries:
\[
\begin{array}{|l|l|c|c|}
\hline
\textbf{Date} & \textbf{Particulars} & \textbf{Debit (₹)} & \textbf{Credit (₹)} \\
\hline
1^{\text{st}} \text{April, 2023} & \text{Raj's Capital A/c Dr.} & 5,00,000 & -- \\
& \text{Prachi's Capital A/c Dr.} & 15,00,000 & -- \\
& \text{To Madhu's Capital A/c} & -- & 5,00,000 \\
& \text{To Atul's Capital A/c} & -- & 15,00,000 \\
& \text{(Being the adjustment of goodwill in the sacrificing ratio)} & & \\
\hline
1^{\text{st}} \text{April, 2023} & \text{General Reserve A/c Dr.} & 1,00,000 & -- \\
& \text{To Madhu's Capital A/c} & -- & 30,000 \\
& \text{To Raj's Capital A/c} & -- & 20,000 \\
& \text{To Atul's Capital A/c} & -- & 40,000 \\
& \text{To Prachi's Capital A/c} & -- & 10,000 \\
& \text{(Being the General Reserve distributed in the old ratio)} & & \\
\hline
\end{array}
\]