3/8 of all applicants for a job are male. 3/4 of all applicants are rejected in the first round including 2/3 of all male applicants. What fraction of applicants remaining after the first round are male?

Let, all applicants = 8p                                        male = (8p*3)/8 = 3p      rejected all applicants = (8p*3)/4 = 6p    rejected male = (3p*2)/3 = 2p    remaining all applicants = 8p-6p = 2p       remaining male = 3p-2p = pNow, fraction of applicants remaining to male = p/2p = 1/2  (Ans)