(a)the police force functioning in Delhi immediately before the commencement of this Act (hereafter in this section referred to as the existing police force) shall, on such commencement, be deemed to be police force constituted under this Act and every member of the existing police force holding the office mentioned in column (1) of Schedule III, immediately before such commencement, shall be deemed to be appointed, on such commencement, to the office mentioned in the corresponding entry in column (2) of that Schedule;