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 |
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
For School C:
Students scoring between 90–95%:
= 10% of 10000
= 1000
Girls : Boys = 5 : 3
Number of boys
= (3/8) × 1000
= 375
Students scoring 95% and above:
= 17% of 6000
= 1020
Girls : Boys = 3 : 5
Number of boys
= (5/8) × 1020
= 637.5
Required ratio
= 375 : 637.5
= 750 : 1275
= 10 : 17
Answer: 10 : 17