(1)Where any area is included within a municipal area the owner of every building or land in such area shall -(a)if the date of such inclusion falls within the last two months of a half-year, not be liable to pay property tax in respect for that half-year; and(b)if such date falls within the first four months of a half-year, be entitled to a remission of so much tax not exceeding half of the property tax payable in respect thereof for that half-year, as is proportionate to the number of days in that half-year preceding such date.