Any license issued under the provisions of Chapter One of this Business and Taxation Code may, unless otherwise specifically provided, be altered in the manner set out in this section so as to permit removal of such business, activity, trade or employment to another location within the City if it might have been originally granted under such altered conditions. A memorandum of the same shall be endorsed on the face of the certificate of license by the holder and attested by the City Clerk. If the holder would have been subject to a greater fee at the date of issuance than he actually paid had the license originally been granted to be exercised at the proposed altered location, such alteration shall be valid only after the payment of the difference between such two fees, prorated, however, in the same manner as provided by Section 701.07 for the original issuance of licenses. (1947 Code §17.13)