Number of students in different academic programs of a college are provided year-wise.Year Number of students admitted in different programs B.A. B.Sc. B.B.A. B. Com. B.C.A 2021 150 25 50 45 75 2022 225 40 45 62 70 2023 450 65 30 90 73 2024 470 73 35 105 70 2025 500 80 36 132 74
Program Enrollment Increase Analysis
This solution identifies the academic program with the second highest percentage increase in student admissions between the years 2021 and 2025, based on the provided enrollment data.
Enrollment Data (2021 vs 2025)
| Program | 2021 Admissions | 2025 Admissions |
|---|---|---|
| B.A. | 150 | 500 |
| B.Sc. | 25 | 80 |
| B.B.A. | 45 | 36 |
| B. Com. | 75 | 132 |
| B.C.A. | 75 | 74 |
Calculating Percentage Increase
The percentage increase for each program is calculated using the formula:
$ \text{Percentage Increase} = \frac{(\text{Admissions}_{2025} - \text{Admissions}_{2021})}{\text{Admissions}_{2021}} \times 100 $Calculations for each program:
- B.A.: $ \frac{(500 - 150)}{150} \times 100 = \frac{350}{150} \times 100 \approx 233.33\% $
- B.Sc.: $ \frac{(80 - 25)}{25} \times 100 = \frac{55}{25} \times 100 = 220\% $
- B.B.A.: $ \frac{(36 - 45)}{45} \times 100 = \frac{-9}{45} \times 100 = -20\% $ (This is a decrease)
- B. Com.: $ \frac{(132 - 75)}{75} \times 100 = \frac{57}{75} \times 100 = 76\% $
- B.C.A.: $ \frac{(74 - 75)}{75} \times 100 = \frac{-1}{75} \times 100 \approx -1.33\% $ (This is a decrease)
Identifying the Second Highest Increase
Ranking the percentage increases from highest to lowest:
- B.A.: $ \approx 233.33\% $
- B.Sc.: $ 220\% $
- B. Com.: $ 76\% $
- B.C.A.: $ \approx -1.33\% $
- B.B.A.: $ -20\% $
The highest increase is for B.A. The second highest percentage increase is for B.Sc.
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