Before selling under the state license prescribed in § 21-35b in any town, city or borough, each person conducting a closing-out sale shall make application for a municipal license to the selectmen or other authority of such town, city or borough authorized to issue licenses therein; and, unless the fee therefor is fixed as herein provided, shall file with them a true statement, under oath, of the average quantity and value of the stock of goods, wares and merchandise kept or intended to be kept or exposed by him for sale. Such selectmen or other authority shall submit such statement to the assessors of the town, who, after such examination and inquiry as they deem necessary, shall determine such average quantity and value, and shall forthwith transmit a certificate thereof to such selectmen or other authority. Thereupon such selectmen or other authority shall authorize the town clerk, upon the payment by the applicant of a fee equal to the taxes assessable in such town, city or borough under the last-preceding tax levy therein upon an amount of property of the same valuation, to issue to him a license authorizing such closing-out sale in such municipality. Such authority may authorize the issue of such license without the filing of such statement, upon the payment of a license fee fixed by it. Upon payment of such fee, such town clerk shall issue such license, which shall remain in force as long as the licensee continuously keeps and exposes for sale in such municipality such stock of goods, wares or merchandise, but not later than the first day of October following its date. Upon such payment and proof of payment of all other license fees, if any, chargeable upon local sales, such town clerk shall record the state license of such transient vendor in full, shall endorse thereon the words “local license fees paid” and shall affix thereto his official signature and the date of such endorsement.