Any person qualified under the rules of the board who desires to take the examination to become a registered and licensed plumber shall make application to the board therefor and pay to the treasurer of the board the examination fee. Such fee may not exceed two hundred dollars for a master plumber’s certificate and license and one hundred dollars for a journeyman plumber’s certificate and license. The board, when the condition of its fund permits and when in its judgment it is deemed advisable, may reduce the amount of the examination fees, but it may not increase the same above the amount specified in this section. Any such change must be adopted by the board to take effect on the first day of January following its action and must apply to all examination fees in the classes specified in the ruling. The applicant shall appear at the next regular meeting of the board for examination of applicants. If upon examination the applicant is found by the board to be qualified as a master plumber or journeyman plumber, or both, it shall issue to the applicant a certificate of registration and license which entitles the applicant to do the work and be a plumber as specified in the license. A master plumber’s and journeyman plumber’s license may be issued to one and the same person, and the holder of a master plumber’s license may be granted a journeyman plumber’s license without the payment    of the journeyman’s fee. All certificates and licenses must be numbered consecutively and may not be transferable, and no person may work under the license issued to another person. Should a person fail upon examination to qualify as a master or journeyman plumber, such person has the right to review the examination to determine the reasons for failure and has the right to appeal to the board.