<p>In this paper, we have proposed two efficient classes of estimators for population proportion of the sensitive qualitative characteristic. Here, we have utilized known population mean of the original available non-sensitive auxiliary variable along with their ranks as an additional derived auxiliary variable. The expressions of the biases and the mean square errors/variances of the proposed estimators have been derived up to first order of approximation. These have been compared with the mean square errors/variances of the considered existing estimators. It has been shown that the proposed estimators are more efficient than the existing estimators. An empirical study (using real time population and hypothetical population) and a simulation study have been carried out to verify the theoretical results obtained as well as to show the practical performance of the proposed estimators under considered basic designs of randomized response technique.</p>