statement that the difference between the opening bank balance ($30,000) and the January statement balance ($75,000) is pure profit.

To determine whether the difference between the opening bank balance ($30,000) and the January statement balance ($75,000) is pure profit, we need to understand a few terms:

1. Opening Bank Balance: This refers to the amount of money available in a bank account at the beginning of a specific period. In this case, it is $30,000.

2. January Statement Balance: This refers to the total amount of money in a bank account at the end of the month, as shown on the bank statement. In this case, it is $75,000.

3. Profit: Profit is the difference between the revenue generated and the expenses incurred during a specific period. It represents the financial gain earned by a business or individual.

To determine if the difference between the opening bank balance and the January statement balance is pure profit, we need additional information. Specifically, we need to consider the revenue and expenses during that period.

If the business or individual did not generate any additional revenue or incur any expenses during January, then the difference between the opening bank balance ($30,000) and the January statement balance ($75,000) would indeed represent pure profit.

However, it's important to note that in most cases, businesses or individuals generate revenue and incur expenses throughout the month. Hence, to accurately determine the pure profit, we would need to consider these additional factors by examining the revenue earned and expenses incurred during January.