A carrier is constructed from paperboard and includes a rounded or non-rectangular top in combination with a non-rounded or rectangular bottom. Dust flaps which extend from the top and bottom of the carrier overlap one another to form a pair of opposing composite side panels. The dust flaps which are attached to the side panels include a crease or fold line adjacent to the bottom of the carrier which only extends partially along the height of the carrier so that the juncture between the side flap and the associated side panel adjacent the top of the carrier does not include a crease or fold line. As such, the side panel and adjacent side flap adjacent the top of the carrier can be tightly wrapped around the arcuate sidewall of the containers within the carrier to thereby provide a neat and tightly packed package configuration.