Question
Download Solution PDFThe following table shows admitted students in an institute during the academic years 2015 to 2020 in different courses.
Academic year | Engineering | Science | Arts | Management |
2015 | 1200 | 850 | 450 | 240 |
2016 | 1362 | 821 | 525 | 275 |
2017 | 1351 | 870 | 624 | 286 |
2018 | 1409 | 921 | 615 | 293 |
2019 | 1421 | 931 | 795 | 300 |
2020 | 1400 | 950 | 750 | 320 |
Which course had the highest growth rate (in percentage) during the period from 2015 to 2020?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Enrollment data from 2015 to 2020 for different courses (Engineering, Science, Arts, Management)
Formula used:
Growth Rate (%) = [(Final Value - Initial Value) / Initial Value] × 100
Calculation:
For Engineering:
Initial Value (2015) = 1200, Final Value (2020) = 1400
Growth Rate = [(1400 - 1200) / 1200] × 100
⇒ Growth Rate = [200 / 1200] × 100
⇒ Growth Rate ≈ 16.67%
For Science:
Initial Value (2015) = 850, Final Value (2020) = 950
Growth Rate = [(950 - 850) / 850] × 100
⇒ Growth Rate = [100 / 850] × 100
⇒ Growth Rate ≈ 11.76%
For Arts:
Initial Value (2015) = 450, Final Value (2020) = 750
Growth Rate = [(750 - 450) / 450] × 100
⇒ Growth Rate = [300 / 450] × 100
⇒ Growth Rate ≈ 66.67%
For Management:
Initial Value (2015) = 240, Final Value (2020) = 320
Growth Rate = [(320 - 240) / 240] × 100
⇒ Growth Rate = [80 / 240] × 100
⇒ Growth Rate ≈ 33.33%
∴ The course with the highest growth rate is Arts, with a growth rate of approximately 66.67%.
Last updated on May 28, 2025
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