The present study is concerned with the flow of blood in a catheterized artery with an overlapping mild stenosis. To account for the slip at stenotic wall, hematocrit and peripheral layer, blood has been represented by a two-layered macroscopic model consisting of a core region assumed to be a particle-fluid suspension and a peripheral layer  of plasma (Newtonian fluid). The expression for the flow characteristics, namely, the axial velocities, the impedance, the wall shear stress, the shear stress at the critical height of the stenosis have been derived and represented graphically with respect to different flow parameters. The impedance increases with the hematocrit, stenosis size and radius of the catheter but decreases with slip at wall. It assumes lower magnitude in two-layered model than its corresponding value in one-layered model for any given hematocrit. With respect to any parameter, the shear stresses at the critical height possess the characteristics similar to that of impedance. Axial velocities increase with slip but decrease with radius of the catheter.