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
Student Admission Ratio Analysis
The question asks to identify the year with the highest ratio of admitted students compared to the previous year. This involves calculating the total number of students admitted each year and then determining the year-over-year growth ratio.
Yearly Admissions Data
| Year | B.A. | B.Sc. | B.B.A. | B.Com. | B.C.A. | Total Students |
|---|---|---|---|---|---|---|
| 2021 | 150 | 25 | 50 | 45 | 75 | 345 |
| 2022 | 225 | 40 | 45 | 62 | 70 | 442 |
| 2023 | 450 | 65 | 30 | 90 | 73 | 708 |
| 2024 | 470 | 73 | 35 | 105 | 70 | 753 |
| 2025 | 500 | 80 | 36 | 132 | 74 | 822 |
Calculate Total Students Per Year
Sum the number of students across all programs for each academic year:
- 2021 Total: 150 + 25 + 50 + 45 + 75 = 345 students
- 2022 Total: 225 + 40 + 45 + 62 + 70 = 442 students
- 2023 Total: 450 + 65 + 30 + 90 + 73 = 708 students
- 2024 Total: 470 + 73 + 35 + 105 + 70 = 753 students
- 2025 Total: 500 + 80 + 36 + 132 + 74 = 822 students
Calculate Year-on-Year Admission Ratios
Calculate the ratio of total students in a given year to the total students in the previous year:
- Ratio for 2022: \(\frac{442}{345} \approx 1.281\)
- Ratio for 2023: \(\frac{708}{442} \approx 1.602\)
- Ratio for 2024: \(\frac{753}{708} \approx 1.063\)
- Ratio for 2025: \(\frac{822}{753} \approx 1.092\)
Identify Highest Admission Ratio Year
Compare the calculated ratios:
- 1.281 (Year 2022)
- 1.602 (Year 2023)
- 1.063 (Year 2024)
- 1.092 (Year 2025)
The highest ratio is approximately 1.602, corresponding to the year 2023.
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