Table 1 shows the percentage of candidates who qualified from six states (A to F) in 2021 and 2022, with the male:female ratio. Table 2 shows the totals appeared and overall qualified percentage.
| State | 2021 Qualified (%) | 2021 M:F | 2022 Qualified (%) | 2022 M:F |
|---|---|---|---|---|
| A | 18 | 5:4 | 20 | 28:17 |
| B | 16 | 3:1 | 12 | 5:3 |
| C | 12 | 7:5 | 16 | 11:5 |
| D | 16 | 13:11 | 15 | 15:11 |
| E | 25 | 13:12 | 22 | 15:9 |
| F | 13 | 8:1 | 15 | 11:9 |
| Year | Appeared | Qualified (%) |
|---|---|---|
| 2021 | 142000 | 45 |
| 2022 | 180000 | 52 |
The number of male candidates who qualified from state E in 2022 is approximately what percentage more than the number of male candidates who qualified from state F in 2021?
The excess is about 74%, so the answer is 74.
Total qualified in 2022 is 52% of 180000, and state E is 22% of that, then males are 15 parts of 24.
So male qualifiers from E in 2022 are 180000 times 0.52 times 0.22 times 15 by 24, which is 12870.
Total qualified in 2021 is 45% of 142000, and state F is 13% of that, then males are 8 parts of 9.
So male qualifiers from F in 2021 are 142000 times 0.45 times 0.13 times 8 by 9, which is 7384.
The excess is 12870 minus 7384, which is 5486.
The percentage more is 5486 divided by 7384 times 100, about 74%.
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