Study the given pie chart and answer the question that follows.
The pie chart shows the distribution (in terms of central angles) of the number of professors in six different departments of a college.
The number of professors in Economics and Mathematics is approximately (correct up to two decimal places) what percentage more than the number of professors in English and Statistics?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 69.23%.
1° = 600/360 = 5/3
Total number of Professor in Economics = 86.4 × (5/3) = 144
Total number of Professor in Mathematics = 72 × (5/3) = 120
Sum of professor in Economics and mathematics = 144 + 120 = 264
Total number of Professor in English = 50.4 × (5/3) = 84
Total number of Professor in Statistics = 43.2 × (5/3) = 72
Sum of professor in English and Statistics = 84 + 72 = 156
Required percentage = [(264 - 156)/156] × 100 = 69.23%