The following table shows the percentage (%) distribution of 12th class…
2023
The following table shows the percentage (%) distribution of 12th class students scoring (i) 95% and above marks, and (ii) between 90 - 95% marks, along with ratio of Girls to Boys among them from six schools A-F of Delhi. Total number of students scoring 95% and above marks and between 90 - 95% marks are 6000 and 10000, respectively. Based on the data in the table, answer the questions that follow.
School-wise Distribution of Students Based on Marks
School | Scoring 95% and above marks (6000) Percentage of students | Scoring 95% and above marks (6000) Girls : Boys | Scoring between 90 - 95% marks (10000) Percentage of students | Scoring between 90 - 95% marks (10000) Girls : Boys |
A | 13% | 11 : 5 | 16% | 3 : 2 |
B | 18% | 5 : 7 | 6% | 1 : 4 |
C | 17% | 3 : 5 | 10% | 5 : 3 |
D | 8% | 7 : 1 | 28% | 2 : 3 |
E | 24% | 5 : 4 | 21% | 9 : 5 |
F | 20% | 5 : 3 | 19% | 3 : 4 |
For school E, the difference between the numbers of boys who scored 95% and above marks and boys who scored between 90 - 95% marks is :
- A.
115
- B.
120
- C.
110
- D.
105
Show answer & explanation
Correct answer: C
First, calculate the number of students in School E scoring 95% and above. Total students = 6000. Percentage for School E = 24%. Number of students = 6000 * 0.24 = 1440. Ratio of Girls to Boys is 5:4, so boys are 4/9 of the total. Number of boys = 1440 * (4/9) = 640. Next, calculate the number of students in School E scoring between 90-95%. Total students = 10000. Percentage for School E = 21%. Number of students = 10000 * 0.21 = 2100. Ratio of Girls to Boys is 9:5, so boys are 5/14 of the total. Number of boys = 2100 * (5/14) = 750. Finally, find the difference between the two numbers: |640 - 750| = 110.