The table shows, for seven cities A to G, the Arts:Science:Commerce proportion of students who passed, with the Male:Female (M:F) ratio for Arts, Science and Commerce respectively.
| City | Arts:Science:Commerce | M:F Arts | M:F Science | M:F Commerce |
|---|---|---|---|---|
| A | 2:4:5 | 31:14 | 23:27 | 11:7 |
| B | 7:2:4 | 37:33 | 43:32 | 29:21 |
| C | 1:4:2 | 34:16 | 57:43 | 31:29 |
| D | 5:7:4 | 17:13 | 51:33 | 23:17 |
| E | 4:3:8 | 23:17 | 41:34 | 57:23 |
| F | 2:4:3 | 47:28 | 11:7 | 16:11 |
| G | 3:5:4 | 29:21 | 27:24 | 53:47 |
The number of males who passed in Commerce from City-F is approximately what percentage more than the number of females who passed in Commerce from City-F?
A31.25
B47.47
C45.45 ✓ Correct
D42.67
Correct answer: (C) 45.45
Explanation
The Commerce males are about 45.45 percent more than the females, so that is the answer.
City-F Commerce has the M:F ratio 16:11.
So among the Commerce students, males are 16 parts and females are 11 parts.
The excess of males over females is 16 minus 11, which is 5 parts.
This excess is measured against the 11 parts of females.
5 out of 11 is about 45.45 percent.
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