Step 1: Calculate Goodwill Share for Arun:
\[
\text{Goodwill} = \rupee 9,00,000
\]
\[
\text{Arun’s Share} = \frac{2}{12} \times \rupee 9,00,000 = \rupee 1,50,000
\]
Step 2: Adjust Goodwill in the Remaining Partners’ Capital Accounts:
The gaining ratio of the remaining partners (Varun, Tarun, and Barun) is calculated as:
\[
\text{New Ratio} = 1:1:1
\]
\[
\text{Old Ratio of Remaining Partners} = 5:3:2
\]
\[
\text{Gaining Ratio} = \text{New Ratio} - \text{Old Ratio} = \left( \frac{1}{3} - \frac{5}{12}, \frac{1}{3} - \frac{3}{12}, \frac{1}{3} - \frac{2}{12} \right) = \frac{3}{12} : \frac{1}{12} : \frac{-1}{12}
\]
Journal Entry:
\begin{center}
\begin{tabular}{|c|c|c|c|}
Date & Particulars & Debit (\rupee) & Credit (\rupee)
2023-03-31 & Varun’s Capital A/c & 62,500 &
& Tarun’s Capital A/c & 37,500 &
& To Arun’s Capital A/c & & 1,50,000
\end{tabular}
\end{center}