This paper proposes an improved Ratio Method (IRM) to tackle Delay Differential Equations (DDEs) by employing a rational-type interpolating function. The Lagrange interpolation was used for approximating the delay argument. The consistency and convergence properties of IRM were analyzed. Moreover, the stability property of IRM using a test problem of DDE was investigated, and the corresponding region of stability was also obtained. The efficiency of IRM was demonstrated through illustrative examples of singularly perturbed and stiff DDEs. A comparative study of the results generated via IRM and that of the theoretical solution was presented.