Question

A group of college DJs surveyed students to find out what music to plan for their upcoming parties. Thirty percent of the students preferred dubstep, 25% of the students liked trance music, and 20% wanted to hear only house music. Fifteen percent of the respondents selected both dubstep and trance.

The proportion of students that like trance music but not dubstep is:

a. 20% .
b. 5% .
c. 10% .
d. 15%

Answer 1

Thus, option “c” 10% is correct.

Explanation:

The percentage of students that like dubstep = 30%

The percentage of students that like trance music = 25%

The percentage of student that wants only house music = 20%

The percentage of students that like bot dubstep and trance = 15%

Now we have to find the percentage of students that like trance music but nor dubstep.

The percentage of students that like the trance music but nor dubstep = 100% - 30% – 25 % - 20% - 15%

The percentage of students that like trance music but nor dubstep = 10%

Thus, option “c” 10% is correct.