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 |
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
Attempted by 1 students.
Show answer & explanation
Correct answer: B
First, calculate the number of boys from schools E and F who scored 95% and above marks. Total students scoring 95%+ is 6000. School E: 24% of 6000 = 1440 students. Ratio Girls:Boys is 5:4, so Boys = (4/9) * 1440 = 640. School F: 20% of 6000 = 1200 students. Ratio Girls:Boys is 5:3, so Boys = (3/8) * 1200 = 450. Total boys = 640 + 450 = 1090.
Next, calculate the number of girls from schools B and E who scored between 90-95% marks. Total students scoring 90-95% is 10000. School B: 6% of 10000 = 600 students. Ratio Girls:Boys is 1:4, so Girls = (1/5) * 600 = 120. School E: 21% of 10000 = 2100 students. Ratio Girls:Boys is 9:5, so Girls = (9/14) * 2100 = 1350. Total girls = 120 + 1350 = 1470.
Finally, find the percentage by which boys (E+F) are less than girls (B+E). Difference = 1470 - 1090 = 380. Percentage less = (380 / 1470) * 100 ≈ 25.85%, which is approximately 26%.