Number of boys who are enrolled in Cricket is approximately ________% more than the number of students who are enrolled in Badminton.
- AOption (a)
21.79
- BOption (b)
22.71
- COption (c)
23.81
- DOption (d)
25.91
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Correct answer
23.81
Why this answer is correct
Given:
Total students enrolled = 6000
Total girls enrolled = 3500
Percentage of students enrolled in Cricket = 29% of 6000
Percentage of girls enrolled in Cricket = 20% of 3500
Percentage of students enrolled in Badminton = 14%
Percentage of girls enrolled in Badminton = 16%
Formula used:
Number of boys in Cricket = Number of students enrolled - number of girls enrolled in cricket
Number of students in Badminton = Percentage of students enrolled × Total students / 100
Percentage difference = [(Number of boys in Cricket - Number of students in Badminton) / Number of students in Badminton] × 100
Calculation:
Number of girls in Cricket = (3500 × 20)/100 = 700
Number of students in Cricket = (6000 × 29)/100 = 1740
Number of boys in Cricket = 1740 - 700 = 1040
Number of students in Badminton:
⇒ 14 × 6000 / 100 = 840
Percentage difference:
⇒ [(1040 - 840) / 840] × 100
⇒ (200 / 840) × 100 = 23.801 ≈ 23.81%
∴ The correct answer is 23.81%.