In the event a license is revoked or in the event the Safety-Service Director refuses to issue a license after proper application therefor has been made, the applicant may appeal within five days to the Mayor, and shall be given the opportunity to present all facts in support of his application, or in support of his cause against a revocation. The Mayor, after consideration, shall approve or reverse the decision of the Safety-Service Director. (1955 Code §921.04)