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 students who passed in Commerce from City-F is 3240, then the number of students who passed from City-F is what percentage of the number of Science students who passed from City-F?
A75
B150
C180
D225 ✓ Correct
Correct answer: (D) 225
Explanation
The total is 225 percent of the Science students, so that is the answer.
City-F has the Arts:Science:Commerce proportion 2:4:3.
Commerce equals three parts and is 3240, so one part is 1080.
The Science students are four parts, which is 4320.
The total from City-F is nine parts, which is 9720.
9720 out of 4320 is 225 percent.
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