A transferred member who retires for service or disability under the county system shall be retired under the city system for service or disability, as the case may be, automatically and without action by him or her, effective on the effective date of his or her retirement under the county system. Upon such retirement, he or she shall receive from the city system a retirement allowance in an amount which, when added, before modifications under any available optional election, to the retirement allowance before such modification, to which he or she is entitled under such county retirement system, shall make the total of such allowances from both systems, equal to retirement allowance calculated under the applicable retirement plan of the city system and upon the assumption that service rendered to the county by such member was rendered instead to such city at the same rate of compensation as that paid by such county for such service. If the transferred member is reinstated from retirement under the county system, he or she shall be reinstated automatically and without action by him or her under the city system and his or her allowance shall cease effective on the same date as the reinstatement under the county system. (Prior code § 34.07.702)