Lets say, Total no. of Students as 100
Now, Total no. of Undergraduate students = 80% of 100 = 80
Out of this 80 students, 60% are out-of-state too i.e,. Undergrad & out-of-state = 60% of 80 = 48 students
So, in the whole university of 100 students only 48 students are undergraduate & out-of-state
Given, 75% of all out-of-state students (say, x) are undergraduate
So, basically, 75% of x = 48
Solving the equation, x = 64
Fraction required : 64/100 = 16/25
IMO (A)
Now, Total no. of Undergraduate students = 80% of 100 = 80
Out of this 80 students, 60% are out-of-state too i.e,. Undergrad & out-of-state = 60% of 80 = 48 students
So, in the whole university of 100 students only 48 students are undergraduate & out-of-state
Given, 75% of all out-of-state students (say, x) are undergraduate
So, basically, 75% of x = 48
Solving the equation, x = 64
Fraction required : 64/100 = 16/25
IMO (A)







