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 |
For City-A, if the total number of males who passed in Arts is 2480, then what is the difference between the number of students who passed in Commerce and that in Science?
A600
B1000
C1400
D1800 ✓ Correct
Correct answer: (D) 1800
Explanation
The difference is 1800, so that is the answer.
City-A has the Arts:Science:Commerce proportion 2:4:5.
In Arts the M:F ratio is 31:14, so males are 31 of 45 parts of the Arts group.
Arts is 2 parts, so Arts males are 2x times 31 over 45, which equals 2480, giving x as 1800.
Commerce is 5 parts and Science is 4 parts, so their difference is one part.
One part is 1800, so the difference is 1800.
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