In this paper, we proposed a ratio cum product estimator for estimating finite population variance. The proposed estimator was obtained by transforming [MS17] estimator. The bias and mean square error (MSE) of the proposed estimator has been obtained and the conditions for it efficiency over some existing variance estimators have been established. The efficiency of proposed estimator based on optimal value of the constant, exhibit significant improvement over the estimators considered in the study. The numerical illustration was also conducted to corroborate the theoretical results. The results of the empirical study show that the proposed estimator is more efficient over existing estimators.