The following table embodies the details about the enrollment of students in…
2020
The following table embodies the details about the enrollment of students in five different streams namely IT, Management, Commerce, Science and Arts in a college during the session 2019-20. A total number of 3500 students including 1500 girls have been enrolled in the college. Based on the data in the table:
Stream-wise enrollment of students
Stream | Percentage (%) of students enrolled (out of 3500) | Percentage (%) of Girls enrolled (out of 1500) |
IT | 20% | 18% |
Management | 16% | 12% |
Commerce | 12% | 21% |
Science | 22% | 11% |
Arts | 30% | 38% |
What is the ratio of the number of girls enrolled in Arts to the number of boys enrolled in science?
- A.
14 : 23
- B.
2 : 3
- C.
114 : 121
- D.
53 : 65
Show answer & explanation
Correct answer: C
To find the required ratio, we first determine the absolute counts for each group based on the provided table.
Calculate girls in Arts:
Total girls = 1500.
Percentage of girls in Arts = 38%.
Number of girls in Arts = 38% of 1500 = 0.38 * 1500 = 570.
Calculate boys in Science:
Total students = 3500.
Percentage of total students in Science = 22%.
Total students in Science = 22% of 3500 = 0.22 * 3500 = 770.
Number of girls in Science = 11% of 1500 = 0.11 * 1500 = 165.
Number of boys in Science = Total students in Science - Girls in Science = 770 - 165 = 605.
Determine the ratio:
Ratio = (Girls in Arts) : (Boys in Science) = 570 : 605.
Dividing both sides by the greatest common divisor (5):
570 / 5 = 114.
605 / 5 = 121.
The ratio is 114 : 121.