The present invention relates to an anti-tumor cocktail comprising a combination of a commercial anti-tumor drug (1), such as 9-acridinecarboxylic acid, in association with an antioxidant (2), such as Coenzyme Q10, and a P-glycoprotein inhibitor (3), such as metformin, ketoconazole, quinidine, verapamil, cyclosporin, ketoconazole, erythromycin, spironolactone, itraconazole, tariquidar, zosuquidar, elacridar, laniquidar, ontogen, imidazole, anthranilamide, dexverapamil and/or dexniguldipine, with a view to selectively destroying solid tumor cells without affecting rapidly replicating healthy cells.