Step 1: List what has to be recorded.
Goodwill of Rs 15,000 has to be paid for by Rakesh. He has no cash for it. So a debit must be raised against him, and credit must go to the old partners who give up their share.
Step 2: Decide who gets the credit.
The credit goes to the old partners in the ratio in which they give up their profit. Harish gives up $\frac{1}{5}$ and Munish gives up $\frac{2}{15}$, which is 3:2. So Rs 15,000 is split as Rs 9,000 and Rs 6,000.
Step 3: Decide which account of Rakesh is debited.
His cash capital of Rs 50,000 is already fixed for the firm. So his goodwill dues are put in his Current Account. This keeps the agreed capital untouched.
Step 4: Write the entry.
Rakesh's Current A/c Dr. Rs 15,000
To Harish's Capital A/c Rs 9,000
To Munish's Capital A/c Rs 6,000
Step 5: Compare with the four options.
Option 1 uses his Capital A/c, so it is not right. Option 3 shows a Bank receipt of Rs 65,000 and a Premium account, but he brings only Rs 50,000. Option 4 credits Rakesh himself, which is wrong. Only option 2 matches.
\[ \boxed{\text{Option 2}} \]
Final Answer:
Option 2 gives the correct journal entry.