The break-up of the students in a university by subject major is given in the polar pie-chart. The bar chart shows the number of students who major in physics by geographic location.
12% of all students are from Chennai. What is the largest possible percentage of economics students that can be from Chennai, rounded off to the nearest integer?
Solution
Total number of Physics major from all locations = 225
$$\therefore $$ Total number of students = $$\frac{225}{0.18}$$ = 1250
Students from Chennai = 12% * 1250 = 150
Given, number of Physics majors from chennai = 40
$$\therefore $$ maximum possible number of economic students from chennai = 150 - 40 = 110
Maximum percentage of students = $$\frac{110}{150}$$ * 100 % = 73.33 %
Hence, option A.
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