Final answer:
The hire purchase price of the video is $3450 and the difference between the cash price and the hire purchase price is $450.
Step-by-step explanation:
To calculate the hire purchase price of the video, we need to add the interest to the cash price.
Let's assume the interest rate is 5% per year and the hire purchase period is 3 years.
The interest on the cash price would be: $3000 * 0.05 * 3 = $450
So, the hire purchase price of the video would be: $3000 + $450 = $3450
The difference between the cash price and the hire purchase price would be: $3450 - $3000 = $450