If the amount of income tax collected pursuant to the provisions of Articles 199 through 202 (Withholding from Retirement Income) of the former Income Tax Act on severance pay or other such compensation that was to be paid in 1984 and was paid before the effective date exceeds the amount of income tax that would result if the provisions of Articles 201 and 202 of the new Income Tax Act were applied to that severance pay or other such compensation, the Resident who was paid that severance pay or other such compensation may, pursuant to Cabinet Order, claim a refund of the excess amount from the district director with jurisdiction over the place for tax payment by June 30 of that year.