The performance of 720 students in an examination for the academic year 2015-16 is shown in a pie chart. Study the pie chart carefully and answer the questions that follow.

(i) Find the number of students who passed in the first division.
(ii) Find the ratio of number of students who passed to that of failed.
(iii) Find the pecentage of the number of students who failed in the examination.

Explanation

(1) The angle at the centre `=360^(@)`
Angle of sector representing the first division `=54^(@)`
Total number of students = 720
The number of students who passed in the first division `=(54^(@)xx720)/(360)=54xx2=108`
(ii) Angle of sector representing the students who passed in the exam `=324^(@)`
Angle of sector representing failed students `=36^(@)`
The ratio of the number of students who passed who passed to that failed = 324 : 36 = 9 : 1
(iii) The percentage of students who failed in the examination `=(36xx100%)/(360)=10%`