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.
What is the ratio of the number of boys appearing for the exam from school C in 2019 to the number of girls appearing from school E in 2021?
- A.
5 : 4
- B.
8 : 7
- C.
9 : 8
- D.
10 : 9
Attempted by 1 students.
Show answer & explanation
Correct answer: D
First, calculate the number of boys from School C in 2019.
Boys percentage = 44%, so Girls percentage = 100% - 44% = 56%. The difference in percentage is 56% - 44% = 12%.
Given the actual difference is 60, Total students = 60 / 0.12 = 500.
Number of boys in School C (2019) = 44% of 500 = 220.
Next, calculate the number of girls from School E in 2021.
Boys percentage = 70%, so Girls percentage = 100% - 70% = 30%. The difference in percentage is 70% - 30% = 40%.
Given the actual difference is 264, Total students = 264 / 0.40 = 660.
Number of girls in School E (2021) = 30% of 660 = 198.
Finally, find the ratio of boys from School C (2019) to girls from School E (2021): 220 : 198.
Simplifying the ratio by dividing both terms by 22 gives 10 : 9.