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 |
If the number of males who passed in Commerce from City-G is 2544, then what is the number of students who passed in Arts from City-G?
A3600 ✓ Correct
B4200
C4800
D3400
Correct answer: (A) 3600
Explanation
The number of Arts students from City-G is 3600, so that is the answer.
City-G has the Arts:Science:Commerce proportion 3:5:4.
In Commerce the M:F ratio is 53:47, so males are 53 of 100 parts of the Commerce group.
Commerce is 4 parts, so Commerce males are 4x times 53 over 100, which equals 2544, giving x as 1200.
Arts is 3 parts, which is 3 times 1200.
That gives 3600.
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