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 females who passed in Arts from City-C is 768, then the number of males who passed in Commerce from City-C is approximately what percentage of the number of students who passed from City-C?
The Commerce males are about 14.76 percent of the total, so that is the answer.
City-C has the Arts:Science:Commerce proportion 1:4:2, so the total is 7 parts.
In Arts the M:F ratio is 34:16, so females are 16 of 50 parts of the Arts group.
Arts females equal 768, which gives one part as 2400, so the total is 16800.
Commerce is 2 parts with M:F 31:29, so Commerce males are 2 times 2400 times 31 over 60, which is 2480.
2480 out of 16800 is about 14.76 percent.
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