The multiferroic ceramic (BiBa0.5Sr0.5)(0.5) (Fe0.5Ti0.5) O-3 (BFO-BST) is prepared in an economic way by conventional solid state reaction route and its different behaviours are studied and reported. The X-Ray diffraction (XRD) and Scanning Electron Microscope (SEM) investigations have confirmed single phase forming by the compound. Full proof reitveld analysis has been used for structural refinement. XRD pattern of the sample it is inferred that the observed peaks and calculated peaks are well matched with each other having minimum deviation. The density of the compound is quiet high as calculated by above analysis as well as from SEM image. Dielectric behaviour of the compound has been analyzed through the variation of dielectric constant with frequency while the electrical behaviour is studied through the complex impedance and modulus analysis. Additionally, verification of Jonscher's power law from ac conductivity study gives the detail findings about electrical behaviour of the material.