Sections 8-24-102, this section and 8-24-114 shall not be construed to repeal or modify in any way any private act of the state fixing any salary of any county mayor in an amount greater than the minimum salaries set out in § 8-24-102. In determining whether the salary of any such county mayor has been fixed by private act in an amount in excess of the minimum salary set out in § 8-24-102, the entire salary provided for by such private act shall be included, regardless of whether such salary is paid by the county, the state of Tennessee, or both.