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A design algorithm based on the modified sum-rate algorithm for multi-component, multistage liquid-liquid extraction processes has been proposed. The proposed algorithm was based on existing short-cut design methods and equilibrium-stage model. Comparative study involving the proposed design algorithm and the existing one through their performance algorithms was undertaken with a view to recommending the best algorithm for future use in the determination of the theoretical extraction stages required to achieve a specified degree of separation in a multi-component system. The efficiency of the proposed design algorithm is demonstrated using variety of example problems. In conclusion, the proposed design algorithm has been able to eliminate the deficiencies of the existing short-cut methods regarding the quality of design.