Total number of students who play Cricket are what percent more or less than total number of students who play Badminton?

Let students who play only Football be 20x. So, students who play only Badminton = 10x And, students who play only Cricket = 25x Now, students who play all 3 games together = 5x Now, students who play Cricket and Football but not Badminton = 7.5x And, students who play Football and Badminton together = 15x Now, students who play Football and Badminton but not Cricket = 10x Now, students who play both Cricket and Badminton together = 10x So, students who play Cricket and Badminton but not Football = 5x According to question, => 25x + 7.5x + 20x + 5x + 5x + 10x + 10x = 990 => x = 12 Total number of students who play Cricket = 300 + 90 + 60 + 60 = 510 Total number of students who play Badminton = 60 + 60 + 120 + 120 = 360 Required % = [(510 – 360)/360] × 100 = 41(2/3)%