The efficiencies of the ratio type estimators have been increased by using linear transformation on auxiliary variable in the literature. Keeping in view, a ratio type estimator of the population mean of variable of interest has been proposed involving unknown weights. Theoretically, its bias and mean square error (mse) have been obtained and compared with other conventional and considered estimators. By this comparison, the conditions that make the proposed estimator more efficient than others have been found. Optimum bias and mean square error of proposed estimator have  also been obtained. Six natural populations have been used for empirical comparisons and the estimator that is more efficient and preferred has been obtained.