The duties of assessment and tax collection for the City, provided by law to be performed by the City Clerk as ex-officio assessor and the finance office of the City, are hereby transferred to the county assessor and the county tax collector of the county of San Diego. Such assessment and tax collection shall be performed by such county assessor and such county tax collector, beginning with the fiscal year 1953-1954, and shall continue for each succeeding fiscal year thereafter until the City shall by ordinance elect not to have such duties performed by such county assessor and county tax collector, all of which is in accordance with and permitted by Sections 51500 to 51519, inclusive, of the Government Code of the state and by Section 502 of the Charter of the City. (Prior code § 30.1).