The present invention provides a cosmetic kit for makeup and/or for care of keratinous material, comprising at least: a container containing at least one cosmetic composition comprising, in a physiologically acceptable medium, at least 16% by weight, preferably at least 18% by weight and more preferably at least 20% by weight of pigments and/or of film-forming polymers and/or of non-pulverulent thickening agents, relative to the total weight of said composition, said composition comprising at least one pigment an applicator device (8) for applying the composition, provided with an applicator member (10) including an application surface that is capable of turning about at least one axis (x) or center of rotation in response to being moved in engagement with the keratinous material.
