In this article, we have envisaged a new family of estimators for finite population mean of the study variable Y under simple random sampling (SRS) utilizing one auxiliary variable. The work is also extended for the case when study variable has sensitive nature. Optimum properties such as bias and mean square error (MSE) of the proposed family of estimators have been determined for both cases. It has been shown that the proposed family of estimators is more efficient than existing estimators. In the support of the theoretical proposed work, we have given numerical illustration.