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 boys of schools E and F together who scored 95% and above marks is approximately _________ % less than the number of girls of schools B and E together who scored between 90 - 95 % marks.
- A.
24
- B.
26
- C.
20
- D.
22
Show answer & explanation
Correct answer: B
To determine the percentage difference, we first calculate the specific group counts using the data provided in the table.
Step 1: Calculate Total Boys (95% and above) for Schools E and F
Total students in 95% and above category = 6000
School E: 24% of 6000 = 1440 students. With a Girls to Boys ratio of 5:4, the number of boys is (4/9) × 1440 = 640.
School F: 20% of 6000 = 1200 students. With a Girls to Boys ratio of 5:3, the number of boys is (3/8) × 1200 = 450.
Total boys (E + F) = 640 + 450 = 1090.
Step 2: Calculate Total Girls (90 - 95% marks) for Schools B and E
Total students in 90 - 95% category = 10000
School B: 6% of 10000 = 600 students. With a Girls to Boys ratio of 1:4, the number of girls is (1/5) × 600 = 120.
School E: 21% of 10000 = 2100 students. With a Girls to Boys ratio of 9:5, the number of girls is (9/14) × 2100 = 1350.
Total girls (B + E) = 120 + 1350 = 1470.
Step 3: Calculate Percentage Less
Difference = 1470 - 1090 = 380.
Percentage less = (380 / 1470) × 100 ≈ 25.85%.
Rounded to the nearest whole number, this is approximately 26%.