The shares of students studying in different streams of a college in the years 2021 and 2022 are as reflected in the two pie charts given below.
Central Angles Representing the share of students in different streams in a college in 2021.
Central Angles Representing the share of students in different streams in a college in 2022
The number of students opting for pharmaceutical sciences in the college in 2022 was 180 more than the number of students opting for pharmaceutical sciences in the college in 2021. The number of students opting for agriculture in the college in 2022 was 1380 more than the number of students opting for agriculture in the college in 2021.
What was the positive difference between the total number of students in the college in the years 2021 and 2022?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 14000.
According to the question,
25.2y - 32.4x = 180...............1
25.2y - 21.6x = 1380..............2
Equation (2) subtracted from Equation (1)
-32.4x + 21.6x = 180 - 1380
10.8x = 1200
x = 1200/10.8 = 1000/9
Now put the value of x in eq 1
25.2y - 32.4 × 1000/9 = 180
25.2y = 180 + 3600
y = 3780/25.2 = 150
Now, the difference between number of students in 2021 to 2022 = (150 - 1000/9) × 360 = (350/9) × 360 = 14000