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In conventional turbojet engine the turbine power is being utilized to rotate the compressors whereas in the Hybrid air breathing propulsion system, an electric motor will be used to give power input to rotate the compressor. So, the space available without a turbine could be used to accommodate a contra-rotating compressor where alternative blade rows rotate in a counter direction. Previous studies show the contra-rotating compressors are superior to conventional ones. The objective of the present work is to design a contra-rotating compressor and to numerically analyse the effects of rotational speed of rotors and inlet Mach number on the performance of the same. Numerical simulations are performed for different rotational speed values of rotors ranging from 5000 RPM to 15000 RPM and with four inlet Mach numbers starting from 0.5 to 0.8.