A class has five sections with 25, 30, 40, 45, and 60 students, respectively. The pass percentages of these sections are 20%, 30%, 35%, 40% and 100% respectively. The pass percentage of the entire class is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 53%.
We know that,
Percentage of pass student = number of student pass/ total number of students × 100
Now, according to the question
Let the following section be P, Q, R, S, T
The number of students pass in section P = 25 × 20/100 = 5
The number of students pass in section Q = 30 × 30/100 = 9
The number of students pass in section R = 40 × 35/100 = 14
The number of students pass in section S = 45 × 40/100 = 18
The number of students pass in section T = 60 × 100/100 = 60
Total number of students pass in all section = 5 + 9 + 14 + 18 + 60 = 106
Total number of student = 25 + 30 + 40 + 45 + 60 = 200
Pass % of entire class = 106/200 × 100 = 53%