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% |
If 20% of the girls enrolled in Science change their stream to management, then what will be the new number of students belonging to management stream altogether?
- A.
593
- B.
733
- C.
453
- D.
1003
Attempted by 1 students.
Show answer & explanation
Correct answer: A
To determine the new total number of students in the Management stream, we first calculate the current figures and then account for the students changing streams.
Calculate initial number of girls in Science:
The total number of girls is 1500.
11% of girls are in Science.
Number of girls in Science = 11% of 1500 = 0.11 * 1500 = 165.
Calculate the number of girls changing streams:
20% of these girls change their stream to Management.
Number of girls changing = 20% of 165 = 0.20 * 165 = 33.
Calculate the initial number of students in Management:
The total number of students is 3500.
16% of total students are in Management.
Initial Management students = 16% of 3500 = 0.16 * 3500 = 560.
Calculate the new total for Management:
New total = Initial Management students + Students transferring from Science.
New total = 560 + 33 = 593.