The following table shows the number of votes polled along with the percentage…
2023
The following table shows the number of votes polled along with the percentage (%) of valid votes and ratio of valid votes cast by males and females among them during an election in a college for the last five years from 2018-2022. Some values are missing in the table (indicated by '—') that you are expected to calculate if required. Based on the data in the table, answer the questions that follow.
Year-wise Details of Voters Polled in an Election
Year | Number of votes polled | Percentage of valid votes polled (%) | Ratio of valid votes of male and females |
|---|---|---|---|
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 and females in the same year?
Answer: C. 23:15 — CONCEPTWhen a percentage of a total is valid, multiply the total by the percentage to find the valid amount. If a group is split into male and female parts,…
- A.
15:19
- B.
13:11
- C.
23:15
- D.
13:5
Show answer & explanation
Correct answer: C
CONCEPT
When a percentage of a total is valid, multiply the total by the percentage to find the valid amount. If a group is split into male and female parts, subtract one known part from the valid total to find the other, then reduce their ratio.
APPLICATION
Total valid votes in 2020 = 38% of 2000 = (38/100) × 2000 = 760.
Valid female votes = 300, so valid male votes = 760 − 300 = 460.
Male : female = 460 : 300. Dividing both terms by 20 gives 23 : 15.
CROSS-CHECK
For the ratio 23 : 15, 300 female votes represent 15 parts, so one part is 20 and male votes are 23 × 20 = 460. Then 460 + 300 = 760, which matches 38% of 2000.
Therefore, the ratio of valid male votes to valid female votes is 23 : 15.