The annual license fee required to be paid hereunder shall be forty dollars ($40) for each automobile, motorcycle, truck, or other such motor vehicle. If a motor vehicle for which an annual licence fee has been paid is replaced by a different motor vehicle during a license year, then the city license sticker for the replacement vehicle shall be issued by the city upon the payment of a one-dollar ($1) administrative fee. Any person who qualifies for a Homestead Exemption pursuant to § 170 of the Kentucky Constitution and KRS 132.810 may apply for and receive a twenty-dollar ($20) discount for one (1) motor vehicle subject to this license requirement, with a limit of two (2) discounted vehicles per household.