The table shows votes polled in a college election from 2018 to 2022, the percentage of valid votes, and the male:female ratio of valid votes. Dashes are missing values to be calculated if required.
| Year | Votes Polled | Valid (%) | Valid M:F Ratio |
|---|---|---|---|
| 2018 | — | — | 5:3 |
| 2019 | 1000 | — | 5:4 |
| 2020 | 2000 | 38 | — |
| 2021 | — | 60 | 7:5 |
| 2022 | 5000 | 40 | — |
In the year 2020, if the number of valid votes of females was 300, then what was the ratio of valid votes of males to females in the same year?
A15:19
B13:11
C23:15 ✓ Correct
D13:5
Correct answer: (C) 23:15
Explanation
The ratio of male to female valid votes is 23 to 15, so the answer is 23 to 15.
In 2020 the votes polled were 2000 with 38 percent valid.
So the total valid votes are 2000 times 38 over 100, which is 760.
The female valid votes are given as 300.
So the male valid votes are 760 minus 300, which is 460.
The ratio is therefore 460 to 300.
Dividing both by 20 gives 23 to 15.
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