The department shall classify as a private passenger motor vehicle every motor vehicle, except a motorcycle, motorcycle three-wheel vehicle, or motor-driven cycle, which is designed, used, and maintained for the transportation of ten or fewer persons and trucks having an empty weight of six thousand pounds or less and a gross weight of nine thousand pounds or less. The department shall classify a three-wheel vehicle by the manufacturer's statement of origin for the vehicle's initial registration. For subsequent registration, the department shall classify the three-wheel vehicle by its title document. This section does not relieve or negate any applicable fees required under Section 56-3-660.