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) | Scoring between 90 - 95% marks (10000) | ||
Percentage of students | Girls : Boys | Percentage of students | 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, find the number of students in School E for each category. For 95% and above: 24% of 6000 is 1440. With a Girls:Boys ratio of 5:4, boys are (4/9) * 1440 = 640. For 90-95%: 21% of 10000 is 2100. With a Girls:Boys ratio of 9:5, boys are (5/14) * 2100 = 750. The difference is 750 - 640 = 110.