Our study delves into the behaviour of a one-dimensional, unsteady flow following a shock wave in a non-ideal dusty gas, including an axial magnetic field and gravitational field. We aim to understand the propagation of shock waves in magnetogasdynamic flows. We investigate both adiabatic and isothermal flows. In this work, both cylindrical and spherical shock waves have been considered. The graphs of the flow variables have been analyzed to study how they vary with respect to the physical parameters like adiabatic exponent, Mach number, etc. In both cases, we obtain the shock path as a power and exponential law. However, the self-similarity solution is not obtained in the case of the power law shock path, the detailed evaluation has been presented as cases.