Percentage distribution of total students and of total girls in six colleges A–F. Total students = 60000; total girls = 24000.
| College | Students (%) | Girls (%) |
|---|---|---|
| A | 10 | 15 |
| B | 9 | 12 |
| C | 23 | 18 |
| D | 18 | 14 |
| E | 16 | 20 |
| F | 24 | 21 |
The ratio of the number of boys in College F to the number of boys in College D is
A31:39
B39:31 ✓ Correct
C39:37
D37:29
Correct answer: (B) 39:31
Explanation
The answer is 39 to 31.
College F has 24 percent of 60000 students, which is 14400, and its girls are 5040, so its boys are 9360.
College D has 10800 students and 3360 girls, so its boys are 7440.
So the ratio is 9360 to 7440.
Dividing both by 240 gives 39 to 31.
So the ratio simplifies to 39 to 31.
So the answer is 39 to 31.
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