22% liked neither.
Step-by-step explanation:
Given,
64% liked pop music.
52% liked rap music.
38% liked both type of music.
To find out the percentage of those liked neither.
Now,
Let, total number of student = 100
Number of students liked pop = 64
Number of students liked rap = 52
Number of students liked both = 38
So,
Number of students who liked only pop = 64-38 = 26
Number of students who liked only rap = 52-38 = 14
Hence,
Number of students who liked neither = 100 - (26+14+38) = 22
22% liked neither.