In all cases where the amount to be paid for a license depends upon the amount of capital invested, the value of the goods or stock, the amount of sales or receipts, or any other fact or condition hereinbefore recited, it shall be the duty of the person applying for such license to render to the probate judge a sworn statement of the amount of the capital invested, of the value of the goods or stock or amount of sales or receipts, and to make under oath such further proof or affidavit as may be required by the probate judge to determine the character of the license and the amount to be paid for the same.