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 male and female voters 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% | — |
If the number of votes increased by 600% from 2019 to 2023 and 76% of the votes were valid in 2023, then the number of valid votes polled in 2023 was
Answer: A. 5320 — ConceptAn increase of r% means adding r% of the original amount. Therefore, the new amount is original × (1 + r/100). To find a stated percentage of any…
- A.
5320
- B.
5040
- C.
5410
- D.
4560
Show answer & explanation
Correct answer: A
Concept
An increase of r% means adding r% of the original amount. Therefore, the new amount is original × (1 + r/100).
To find a stated percentage of any amount, multiply that amount by the percentage divided by 100.
Application
The number of votes polled in 2019 was 1000. A 600% increase makes the 2023 total 1000 × (1 + 600/100).
Thus, the total votes polled in 2023 were 1000 × 7 = 7000.
Since 76% of these votes were valid, the valid votes were 7000 × 76/100 = 5320.
Cross-check
Reversing the percentage gives 5320 ÷ 0.76 = 7000. Also, (7000 − 1000) ÷ 1000 × 100 = 600%, so both conditions are satisfied.
Result
The number of valid votes polled in 2023 was 5320.