Where a company has a managing agent at the commencement of this Act, the term of office of such managing agent shall, if it does not expire earlier in accordance with the provisions applicable thereto immediately before such commencement [including any provisions contained in the Indian Companies Act, 1913 (7 of 1913)], expire on the 15th day of August, 1960, unless before that date he is re-appointed for a fresh term in accordance with any provision contained in this Act.