It is essential to evaluate the use of every resource that is acquired by the institute or through consortia. Therefore the objective of the study is to find trends in the usage of e-resources. The study emerged with three formulas such as Ratio of Resources, Ratio of Utilization and Resource Impact Factor. The study derived three axioms such as axiom 1 that Total number of downloads was directly proportional to the number of resources; Axiom 2 : Total number of downloads was directly proportional to the number of users and Axiom 3: Uses of e-resources were directly proportional to the number of resources and number of users. To prove the axioms, the data available regarding of usage of e-resources through e-ShodhShiindu (eSS) Consortium at the https://infistat.inflibnet.ac.in/ has been taken for analysis. The usage trends of nine full-text journals of the Gandhigram Rural Institute – Deemed to be University were taken up from 2012 to 2019. Use of e-resources was directly proportional to the number of resources and the number of users and not by the number of downloads. This paper emphasizes different parameters in measuring the use of e-resources subscribed based on the number of downloads.