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In this paper, a class of optimization problems has been considered where quadratic fractional programming problem has an additional characteristic, i.e Complementary quadratic fractional programming problem (CQFPP) and consequently a convergent algorithm has been developed in the following discussion. Numerical examples have been provided in support of the theory. By using Matlab 2011 version 126.96.36.1995 (R2011a). Keywords: CQFPP, Solving CQFPP by new technique to modified simplex method.doi:10.14419/ijamr.v3i3.3138 fatcat:lwh47a2kyzdgdcr2q3dyja2xte