The two pie-charts given below show the data of total students and only girls registered in different streams in a university. If the total number of students registered in the university is 5000 and the total number of the registered girls is 1500, then the ratio of boys enrolled in Arts to the girls enrolled in Management is:
Total Students Pie Chart: Arts 28%, Engineering 30%, Science 12%, Commerce 20%, Management 10%
Girls Pie Chart: Arts 20%, Engineering 15%, Science 10%, Commerce 25%, Management 30%
A. 2 : 1
B. 9 : 22
C. 11 : 9
D. 22 : 9
GATE 2020 · General Aptitude · Pie Chart · medium
Answer: Ratio of boys enrolled in Arts to girls enrolled in Management = 22 : 9 (Option D)
Find total students in Arts: Arts students = (28 / 100) x 5000 = 1400
Find girls in Arts: Girls in Arts = (20 / 100) x 1500 = 300
Find boys in Arts: Boys in Arts = 1400 - 300 = 1100
Find girls in Management: Girls in Management = (30 / 100) x 1500 = 450
Form the ratio and simplify: GCD(1100, 450) = 50; Ratio = (1100/50) : (450/50) = 22 : 9