Question
In 2022, there were 5200 students in a college, 60% of whom
were girls. Next year, the number of girls went up by 25%, while the number of boys dropped by 20%. What was the percentage change in the total student count in 2023?Solution
ATQ,
Number of girls in 2022 = 5200 Γ 0.60 = 3120
Number of boys in 2022 = 5200 - 3120 = 2080
Number of girls in 2023 = 3120 Γ 1.25 = 3900
Number of boys in 2023 = 2080 Γ 0.80 = 1664
Total number of students in 2023 = 3900 + 1664 = 5564
So, percentage change in total number of students = {(5564 - 5200)/5200} Γ 100 = 7%
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