Class 12 students scoring (i) 95% and above (total 6000) and (ii) 90–95% (total 10000) from six Delhi schools A–F, with Girls:Boys ratio.
| School | 95%+ (%) | Girls:Boys |
|---|---|---|
| A | 13% | 11:5 |
| B | 18% | 5:7 |
| C | 17% | 3:5 |
| D | 8% | 7:1 |
| E | 24% | 5:4 |
| F | 20% | 5:3 |
| School | 90–95% (%) | Girls:Boys |
|---|---|---|
| A | 16% | 3:2 |
| B | 6% | 1:4 |
| C | 10% | 5:3 |
| D | 28% | 2:3 |
| E | 21% | 9:5 |
| F | 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?
A5 : 9
B10 : 17 ✓ Correct
C10 : 13
D12 : 17
Correct answer: (B) 10 : 17
Explanation
The required ratio for school C is 10 to 17.
Boys of C scoring 90-95% are 10 percent of 10000 times 3 over 8.
This gives 1000 times 3, that is 3000 over 8 as the raw value.
Boys of C scoring 95% and above are 17 percent of 6000 times 5 over 8.
Comparing the two expressions and cancelling common factors gives 10 to 17.
So the ratio of 90-95% boys to 95%-and-above boys in school C is 10 to 17.
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