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 total number of boys enrolled in Management stream and IT stream together?
- A.
1050
- B.
810
- C.
1120
- D.
980
Show answer & explanation
Correct answer: B
Complete Solution
To find the total number of boys in the specified streams, we must calculate the number of boys in each stream individually by subtracting the number of girls from the total enrollment for that stream.
Analyze IT Stream:
Total students = 20% of 3500 = 0.20 × 3500 = 700
Total girls = 18% of 1500 = 0.18 × 1500 = 270
Boys in IT = 700 - 270 = 430
Analyze Management Stream:
Total students = 16% of 3500 = 0.16 × 3500 = 560
Total girls = 12% of 1500 = 0.12 × 1500 = 180
Boys in Management = 560 - 180 = 380
Calculate Total Boys:
Total boys = 430 (IT) + 380 (Management) = 810