This paper is concerned with finding the economic order quantity, EOQ for an inventory model with ramp type demand-rate, partial backlogging and general deterioration rate. A new method for finding the EOQ policy is proposed. Existence of a unique EOQ is shown for two different replenishment policies ((a) periods starting with shortages and (b) periods starting with no shortages). Two different cost functions are considered. (C) 2012 Elsevier Inc. All rights reserved.