Abstract: An ink supply system for supplying ink through the print head of an ink jet printer includes a pump arrangement supplying ink to the print head from a supply tank and, further, plural ink return lines connected between the pump outlet and the pump inlet. Each of the ink return lines includes a flow restriction, with the flow restriction in each line providing a fluid flow impedance which differs from the impedances provided by the other flow restrictions. A valve arrangement controls the connection of the pump outlet to a selected one of the ink return lines, such that the flow rate of ink through the ink supply line to the print head is effectively controlled.