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 |
Average numbers of boys who scored between 90 - 95% marks from the schools A - E together is :
- A.
746
- B.
718
- C.
745
- D.
785
Show answer & explanation
Correct answer: D
The total number of students scoring between 90 - 95% marks is 10,000. For School A, students are 16% of 10,000 = 1600. With a Girls:Boys ratio of 3:2, boys = (2/5) * 1600 = 640. For School B, students are 6% of 10,000 = 600. Ratio 1:4 gives boys = (4/5) * 600 = 480.
For School C, students are 10% of 10,000 = 1000. Ratio 5:3 gives boys = (3/8) * 1000 = 375. For School D, students are 28% of 10,000 = 2800. Ratio 2:3 gives boys = (3/5) * 2800 = 1680. For School E, students are 21% of 10,000 = 2100. Ratio 9:5 gives boys = (5/14) * 2100 = 750.
Summing boys from A to E: 640 + 480 + 375 + 1680 + 750 = 3925. The average is 3925 / 5 = 785.