(b) By agreement for a period of not to exceed one year, the board of supervisors or other elective governing body of a county and the local legislative body of a city in such county may, from year to year, provide that the city shall have the sole right to impose in such city one or more of the taxes described in sections twelve hundred two and twelve hundred three and that the county shall have the right to impose such tax or taxes only in the area of the county outside such city. In such event the net collections received by the county from such a tax shall be allocated, applied and distributed to such area in the manner provided by subdivision (d) of section twelve hundred sixty-two.

(c) Where a city imposes a tax described in subdivision (e) of section twelve hundred one, as provided in section twelve hundred three, the governing body of the city may provide by agreement with the governing body of the county in which such city is contained for the collection of such tax by the clerk of such county. Such agreement may make provision, notwithstanding the provisions of any general, special or local law, for the safekeeping of moneys so collected; the bonding at the expense of the city of officers and employees collecting or safekeeping such moneys; compensation to the county for such services at a rate not in excess of twenty-five cents for each vehicle the use of which is so taxed; periodic payment to the city of money so collected, less such compensation; reporting to the city of registrations of motor vehicles issued by such clerk pursuant to section two hundred five of the vehicle and traffic law; and such other matters as are necessary and proper to effectuate the purposes of such agreement.