NOVELTY - The method involves using a mechanical advantage system, particularly one of a positive displacement system, a rack and pinion system, and a pulley system. The mechanical advantage system is driven by a compressed air engine or effluent gases emitted by any device e.g. a diesel generator set, to lift up fluid. The system basically includes a piston (6), a cylinder (7), two inlet non-return valves (5,8) and two outlet non-return valves (10,11).    USE - Method for fluid pumping. Can be used for lifting water from bore wells, closed wells, or sumps of deeper depths, for lifting solvents, chemicals, oils, lubricants, and petroleum products which are non-polar solvents as well as for alcohol-based semi-polar solvents, for lifting slurries, sledges, concrete mixtures, gel kind of any systems through closed pipes or tube wells to any heights from an depth, for pumping water through distribution lines by laying horizontally to the earth or any other supported structures for transportation of fluids such as water, oils, petroleum, slurries, and concrete mixtures, for lifting materials against gravity by overcoming resistance in pumping solutions to higher altitudes so as to generate pressure to directly connect underground water to membrane systems in reverse osmosis plants, for running long lengths of smaller cross-sections while also injecting grease, engine oils and other lubricant types into engines or machines of higher capacities which minimize human intervention, for pumping semi-solid chemicals, fruit pulps, paper pulps, or any other types of value added products to be transported across multiple directions in industrial applications, for pumping blood, serum, plasma, and other types of medicine discharge systems in medical systems by connecting piezoelectric accumulator kind of crystals to mechanical advantage systems, for pumping directly water with higher pressure to feed drip irrigation systems, sprayers, sprinklers from bore wells without booster pumps, and for feeding storage tankers, overhead tanks, tanks of higher heights from lower depths using closed tubes irrespective of the nature of fluid to be transported such as water, oils, greases, lubricants, solvents, acids, alkalis, slurries, concrete mixtures, fly ash fluids, molten metal liquids in metallurgical industry, polymers in polymer industry and also in industrial gases, fairy industry, and food processing industries (all claimed).    ADVANTAGE - The method enables fluid pumping or lifting without using electricity or fuel since the method employs mechanical advantage principles or systems operated by air compressors or effluent gases from other devices. Since electricity is not used for pumping, electricity costs are greatly lowered, realizing massive economic benefits and also eliminating costs regarding expensive maintenance, usage of panel boards and cables, and frequent motor burn-outs. The cylinder inner surface may be sputtered with less wear-prone graphite nano material to lessen frictional resistance, increasing system efficiency.    DESCRIPTION OF DRAWING(S) - The drawing shows the schematic view of a positive displacement system.    Screw rod (1)    Inlet non-return valves (5,8)    Piston (6)    Cylinder (7)    Outlet non-return valves (10,11)