In the literature of Riemannian geometry there are many conditions for the equivalency of semisymmetric (resp., pseudosymmetric) and Ricci-semisymmetric (resp., Ricci-pseudosymmetric) manifolds. The object of the present paper is to investigate a sufficient condition for the equivalency of semisymmetric (resp., pseudosymmetric) and Ricci-semisymmetric (resp., Ricci-pseudosymmetric) manifolds. It is shown that generalized Roter type condition is a sufficient condition for the equivalency of such structures. Also we obtain alternative proofs of the theorems as given by Deszcz and his coauthors (\cite{ACDE98} and \cite{DHS99}) for the equivalency of such structures. Finally the existence of manifolds satisfying generalized Roter type condition is ensured by some non-trivial examples.