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% |
The number of girls enrolled in Arts, Science and Commerce streams together forms what percent (%) of total number of students in the college?
- A.
25%
- B.
30%
- C.
40%
- D.
60%
Show answer & explanation
Correct answer: B
To find the percentage of girls enrolled in Arts, Science, and Commerce relative to the total student population, we first calculate the number of girls in each stream. The total number of students is 3500, and the total number of girls is 1500. The table provides the percentage of girls enrolled in each stream out of the total 1500 girls.\nFor Arts, the number of girls is 38% of 1500, which equals 570. For Science, it is 11% of 1500, equaling 165. For Commerce, it is 21% of 1500, equaling 315. Summing these values gives the total number of girls in these three streams: 570 + 165 + 315 = 1050.\nNext, we calculate what percentage this sum (1050) represents of the total student enrollment (3500). The calculation is (1050 / 3500) * 100, which simplifies to 30%. A common error is applying the girl percentages directly to the total student count (3500) instead of the girl count (1500), which would lead to incorrect options like 25% or 40%. Thus, the correct answer is 30%.