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 |
The number of girls of school B who scored between 90 - 95 % marks is approximately _________ % of the number of girls of school D Who scored 95% and above marks.
- A.
28.57
- B.
22.46
- C.
29.95
- D.
32.46
Attempted by 1 students.
Show answer & explanation
Correct answer: A
First, calculate the number of girls in School B scoring between 90-95%. The total students in this range is 10,000. School B accounts for 6% of these students: 10,000 * (6/100) = 600 students. The ratio of Girls to Boys is 1:4, so the number of girls is (1/5) * 600 = 120.\nNext, calculate the number of girls in School D scoring 95% and above. The total students here is 6,000. School D accounts for 8%: 6,000 * (8/100) = 480 students. The Girls to Boys ratio is 7:1, meaning girls constitute (7/8) of the total. Thus, number of girls is (7/8) * 480 = 420.\nFinally, find the required percentage: (Girls in B / Girls in D) * 100 = (120 / 420) * 100. Simplifying the fraction gives (2/7) * 100 ≈ 28.57%. This matches Option A.