Correct Answer - Option 3 : 76.82%
Given:
The ratio of number of teachers and the number of students in a school is 3 : 8.
On a particular day 5% of teachers and 30% of students were absent.
Formula used:
Formula of percentage.
X% of Y = XY/100
Calculation:
Number of teachers : Number of students in a school = 3 : 8
Total = 3 + 8 = 11
So, let total number of people (teachers and students) in the class be 1100
Total number of teachers = 300
Total number of students = 800
Percent of teachers present = (100 – 5) = 95%
Percentage of students present = (100 – 30) = 70%
Number of present teachers = 95/100 × 300 = 285
Number of present students = 70/100 × 800 = 560
Total number of present people (teachers and students) = 285 + 560 = 845
% of present people = 845/1100 × 100
⇒ 76.82%
∴ % of all (teachers and students) who were present was 76.82%
