All annual licenses issued under the provisions of Chapter One of this Business and Taxation Code shall be for a period of one year beginning on July 1 and ending on June 30. However, in the event any business, activity, trade or employment is begun after July 1 of any year, a license effective until the following June 30 shall be issued upon the payment of that proportion of the annual fee designated by Chapter One of this Business and Taxation Code as the number of months remaining until the following June 30, including the month during which such license is issued, bears to twelve. No license for any purpose for any length of time shall be issued for less than two dollars ($2.00). Each of the provisions of this section shall be deemed subject to expressly contrary provisions elsewhere in this Code. (1947 Code §17.7)