This work is mainly concentrated on increasing the efficiency (η) and reducing the Net Positive Suction Head (NPSH) required by optimizing the design through the geometrical parameters involved. Blade thickness, Chord cascade solidity, chord angle and hub angle are the geometric variables evaluated. In order to establish the relation between the geometrical parameters and the objective functions (η and NPSH), a statistical approach in the form of ANOVA and RSM is used and the DOE is performed using Taguchi method. The data for the geometrical parameters were selected based on the technical values commonly used in the present impeller design. The values of objective functions for the analysis were taken from the calculations done using simulation results using appropriate equations. The effect of geometrical parameters on the objective functions is analysed and the optimization of parameters is carried out using RSM in Minitab software