Kronig Penny model is an excellent approximation of crystal potential in the band theory of solids. The only problem
students face in this topic is the solving of determinant. Of course, it was solved by originators after tedious calculations and they
dropped it in publications. The same route is followed in earlier works. But a systematic way of solving it may develop an
interest in students and might be helpful in scholarly article. In this paper it is solved in an appealing way never found elsewhere
in literature, rather it was left as declared much tedious. This paper is endowed with full mathematical solution.