Provided that, if the Council according to sections 178 and 178A of this ordinance modifies or rejects all or any items in any budget or supplementary budget or adds any item thereto which was submitted to the Council at any time by the Chairman after a period of two years since the commencement of the term of office of the Council, and if the Chairman does not agree to such decision of the Council, he shall resubmit the said budget to the Council for further consideration. Where a budget or supplementary budget is not passed by the Council within two weeks after it is resubmitte for the second time, the Chairman shall be deemed to have been resigned from the office of Chairman at the end of the said period of two weeks.”.