This study attempts to examine the ramped wall temperature and concentration of an unsteady free MHD, viscous, incompressible, electrically conducting fluid past a vertical plate through a medium of porous nature under thermal radiation. Sets of dimensional governing equations are considered by taking suitable assumptions, which are then transformed into non-dimensional forms. Non-dimensional equations are being solved analytically with the help of Laplace Transform method. Resultant effects of some parameters concerning the problem on temperature, velocity, concentration, coefficient of skin-friction, Nusselt number and Sherwood number are discussed through different graphs and are physically interpreted. From the graphs, results are found out and related interpretations are made.