(a) (1) The tax collecting authority of New Castle County shall, after September 1 in the year in which annual taxes become due and payable, add thereto a penalty of 6 percent of the current charge and 1 percent of the unpaid principal balance as of the first day of every month thereafter until the same shall be paid. Penalty shall accrue at the same rate on any supplemental tax bill issued pursuant to § 8340 of this title, beginning on the first day of the third month from the date upon which the tax liability became due and payable.
(2) In Kent County and in Sussex County the tax collecting authority shall, after September 30 in the year in which the tax duplicate shall be delivered to the authority, add to taxes to be paid thereafter a penalty of 1.5 percent per month until the same shall be paid.
(b) The tax collecting authority of each county is authorized to remove from the tax roll the amount of any taxes assessed against real estate that do not constitute a lien against such real estate pursuant to § 8705 of this title.
(c) The tax collecting authority of each county, upon being authorized by ordinance adopted by County Council or Levy Court, may allow an abatement of or discount upon any tax or penalty for late payment, exclusive of school taxes, required to be collected by them.