If any such permits shall be issued as provided in Code Sections 10-1-550 through 10-1-552 by the authorities therein mentioned, and such authorities shall be presented with any petition containing the names of at least 25 percent of the registered voters of the municipal corporations or county, as the case may be, opposing the issuance of the permits, it shall be the duty of the authority empowered to issue the permits to call an election to be held within 60 days for submission of the question to determine whether such theaters shall be allowed to operate or such athletic events, games, or contests shall be held within the municipal corporation or county, as the case may be, during the ensuing year; provided, however, that no more than one such election shall be held in any one calendar year.