Question : 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 per cent more than the number of professors in English and Statistics?
Option 1: 69.23%
Option 2: 59.09%
Option 3: 40.91%
Option 4: 70.91%
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Correct Answer: 69.23%
Solution : The number of professors in Economics and Mathematics = 86.4 + 72 = 158.4 The number of professors in English and Statistics = 50.4 + 43.2 = 93.6 Required percentage = $\frac{158.4-93.6}{93.6}×100$ = $\frac{64.8}{93.6}×100$ = 69.23% Hence, the correct answer is 69.23%.
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