I am Bangalore categorizes its students based on their academic performance for all its batches the auditors of this report discovered something unique in the data set the institute divided it's students among three categories namely amazing good and average the total number of amazing good and average students are 200 300 and 400 not necessarily in that order the number of female students were found to be 25% more than the number of male students the number of average females students was won by 6th of the total number of students the ratio of the number of amazing males students to that of their female counterparts was 2:1 half of the female students were good in academy find the number of female and male