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

Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 19.91%
Total students in 2019 = 2000
Total humanities students in 2019 = 21% of 2000 = 21(2000)/100 = 420
Total students in 2020 = 2400
Total humanities students in 2020 = 19% of 2400 = 19(2400)/100 = 456
Total students in the academic year 2019 and 2020 = 2000 + 2400 = 4400
Total humanities students in 2019 and 2020 = 420 + 456 = 876
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 = 876(100)/4400 = 19.91%