The following pie charts show the number of students studying in different departments of an institute during the academic years 2019 and 2020. The total number of students was 2000 and 2400 in academic years 2019 and 2020, respectively.

Students studying humanities in 2019 and 2020 taken together is what percentage of the total number of students studying during the two years taken together? (correct to 2 decimal places)

19.91%

Students studying humanities in 2019 and 2020

= \(\frac{21 }{100}\) × 2000  + \(\frac{19 }{100}\) × 2400 

= 420 + 456

= 876

Required percentage = \(\frac{876 }{2000 + 2400}\) × 100

= \(\frac{876 }{4400}\) × 100

= 19.9090%

= 19.91%    ( correct to 2 decimal places)