Study the given pie-chart and answer the question that follows.
The pie chart represents the total number of valid votes obtained by four students who contested for school leadership. The total number of valid votes polled was 720.
By how many votes did the winner defeat the nearest contestant?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 40.
Total valid votes = 720
Votes per degree = 720/360 = 2 votes per degree
The winner is the candidate with the highest angle, Sive Raman (120°)
Sive Raman's votes = 120 × 2 = 240
The nearest contestant is Vishwanath (100°)
Vishwanath's votes = 100 × 2 = 200
Thus,
Difference in votes = 240 - 200 = 40 votes