(a) **Comparing Opening Balances (1 Jan 2002):**
The opening balance in the Cash Book on Jan 1, 2002, is $6, whereas the opening balance in the Bank Statement is $60. The difference arises due to an unrecorded deposit in the Cash Book. The deposit made on Jan 2, as per the Bank Statement, is $54 (\$60 - \$6), and this amount needs to be added to the opening balance in the Cash Book to reconcile the difference.
(b) **Bringing the Cash Book up to Date:**
1. **Deposits:**
- Jan 2: Record the deposit of $54 (Cheque No. 3002) in the Cash Book.
- Jan 9: Record the deposit of $505 (Cheque No. 3001) in the Cash Book.
2. **Cheques:**
- Jan 12: Record the cheque payment of $60 (Cheque No. 3000) in the Cash Book.
- Jan 15: Record the cheque payment of $312 (Cheque No. 3001) in the Cash Book.
3. **Credit Transfers:**
- Jan 10: Record the credit transfer to L. Jake Fisher of $407 in the Cash Book.
4. **Other Transactions:**
- Jan 30: Record the service charge of $20 in the Cash Book.
After making these adjustments, the Cash Book should be up to date, and the closing balance on Jan 31, 2002, should match the closing balance on the Bank Statement.