The shares of students studying in different streams of a college in the year 2021 and 2022 are reflected in the two pie charts given below.
The total number of students in the college was 60000 in 2021, which rose to 75000 in 2022. What was the percentage change in the number of students opting for the mathematical sciences from 2021 to 2022? [Give your answer correct to the nearest integer value]
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 12%.
According to the given pie-charts,
Number of students opting mathematical sciences in 2021 = (68.4/360) × 60000
⇒ 0.19 × 60000 = 11400
Number of students opting mathematical sciences in 2022 = (61.2/360) × 75000
⇒ 0.17 × 75000 = 12750
Required percentage increase = [(12750 - 11400)/11400] × 100
⇒ 1350/11400 × 100 = 11.84% ≈ 12%