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 |
What is the ratio of the number of boys of school C who scored between 90 - 95 % marks to the number of boys who scored 95% and above marks in the same school ?
- A.
5 : 9
- B.
10 : 17
- C.
10 : 13
- D.
12 : 17
Show answer & explanation
Correct answer: B
First, calculate the total number of students in School C scoring between 90-95% marks.
Total students in this category = 10,000. Percentage for School C = 10%. So, students in School C = 10% of 10,000 = 1,000.
Next, find the number of boys in this group. The Girls : Boys ratio is 5 : 3.
Number of boys = (3/8) * 1,000 = 375.
Now, calculate the total number of students in School C scoring 95% and above marks.
Total students in this category = 6,000. Percentage for School C = 17%. So, students in School C = 17% of 6,000 = 1,020.
Find the number of boys in this group. The Girls : Boys ratio is 3 : 5.
Number of boys = (5/8) * 1,020 = 637.5.
Finally, find the ratio of boys scoring between 90-95% to boys scoring 95% and above.
Ratio = 375 : 637.5. Multiplying both sides by 2 gives 750 : 1,275. Dividing by 75 simplifies this to 10 : 17.