Dear Jankir, the book by Sergey V. Matveev
Lectures on Algebraic Topology, Sergey V. Matveev (EMS Series of Lectures in Mathematics)
contains about 10 pages of hints and solutions to its exercises. That's not a bad ratio since the body of the book is only 82 pages long! Despite its terseness the book is amazingly nourishing: it contains Wirtinger's presentation of the fundamental group of a knot, higher homotopy groups, Poincaré duality, the Lefschetz fixed point theorem,... all starting from scratch. Of course not everything is proved but the numerous exercises prove that there is real meat to feed on in that short tome.