The Governor may, by executive order, authorize the state Department of Revenue to provide by proper rules and regulations for the allowance of a discount of taxes due and payable to the state by persons subject to the lodgings tax levied by this chapter, in the same manner and to the same extent as the discount allowed persons licensed under the provisions of Division 1 of Article 1 of Chapter 23 of this title. The discount provided for herein shall not exceed five percent of the first $100 of taxes levied and two percent of the taxes levied over $100 and due and payable to the state by persons subject to this chapter. It is provided, however, that the discount provided for herein shall be authorized or allowed only upon taxes which are paid before delinquency.