For inefficiency or neglect of duty or misconduct in office, a commissioner of an authority may be removed by the mayor, but a commissioner shall be removed only after a hearing and after he shall have been given a copy of the charges at least ten days prior to such hearing and have had an opportunity to be heard in person or by counsel. In the event of the removal of any commissioner, a record of the proceedings, together with the charges and findings thereon, shall be filed in the office of the city clerk.