The table shows the percentage of boy students and the difference between the…

2023

The table shows the percentage of boy students and the difference between the number of boys and girls in six different schools (A-F) during four years (2019-2022).

School \ Year

2019 Boys (%)

2019 Diff (*)

2020 Boys (%)

2020 Diff (*)

2021 Boys (%)

2021 Diff (*)

2022 Boys (%)

2022 Diff (*)

A

70

136

60

70

75

184

60

86

B

40

84

48

18

45

48

60

90

C

44

60

55

24

60

52

56

24

D

44

84

57

84

55

72

65

192

E

75

280

60

136

70

264

66

224

F

44

90

56

96

65

228

45

84

Note: Difference (*) means the difference between the number of boys and girls.

In the year 2019, the number of students appearing for the exam from school F is what percent more than the number of students appearing from school C?

  1. A.

    40

  2. B.

    66.66

  3. C.

    20

  4. D.

    50

Show answer & explanation

Correct answer: D

First, identify the data for School F and School C in 2019. Both schools have 44% boys, which means girls constitute 56% of the total students. The difference between boys and girls is therefore 12% (56% - 44%). For School F, the difference is 90 students. So, 12% of Total F = 90, meaning Total F = 90 / 0.12 = 750 students.

For School C, the difference is 60 students. So, 12% of Total C = 60, meaning Total C = 60 / 0.12 = 500 students.

Finally, calculate how much percent more School F is compared to School C: ((750 - 500) / 500) * 100 = 250 / 500 * 100 = 50%.

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