We have studied a spin-1/2, Ising trilayered ferrimagnetic system on square Bravais lattice, employing Monte-Carlo simulation with single spin-flip Metropolis algorithm. The bulk of such a system is formed by three layers, each of which is composed completely either by A or B type of atoms, resulting in two distinct compositions: ABA and AAB and two different types of magnetic interactions: ferromagnetic between like atoms and antiferromagnetic between unlike atoms. Variation of relative interaction strengths in the Hamiltonian, for a range of values, leads to the shift of compensation point and critical point and changes in the magnitude of reduced residual magnetisation. We have tried to put forward probable mathematical forms of dependences of the reduced residual magnetisation and temperature interval between the compensation and critical points on controlling parameters in absence of applied magnetic field and have obtained phase diagrams for both types of configurations from these relations.