If the proposed charter shall be rejected by a majority of the legal votes cast at the election thereon, the election of officers shall be void, except that the candidate who shall receive the highest number of legal votes cast for the office of mayor, if a mayor is to be elected, otherwise the candidate for any city office who shall receive the highest number of legal votes cast at the election, shall, within ten days thereafter, require such charter board to reconvene for the purpose of rewriting or altering the draft of the rejected charter in such manner as to it shall seem proper. Any three hundred qualified voters of said incorporated territory may, however, within ten days after the determination of the results of the election at which such charter is rejected, petition the clerk of the county court for the election of a new charter board, in which case the court shall thereupon call a new election for members of the charter board in the same manner as the original election and with nominations to be made and any vacancies to be filled in the same manner as in the first instance, as provided in section one of this article. The duties of the new charter board shall be the same as those of the former board, and as many successive charter boards may be elected as may be necessary until a charter for such territory is framed and approved by the qualified voters of the incorporated territory. The rewritten or altered proposed charter or the charter draft of a new or any succeeding charter board, as the case may be, shall be submitted to the Attorney General and the qualified voters of said incorporated territory in the same manner and with like notice and proceedings as required in the first instance, and such proceedings shall continue until the qualified voters of said incorporated territory have by a majority vote approved a charter.