The following table presents the details about the number of candidates who appeared in an entrance exam and percentage (%) of candidates who qualified the exam from two states P and Q during the years 2017-2021. Some values are missing in the table, and have to be computed, if required. Year-wise Distribution of Candidates in an Entrance ExamYear State P State Q Appeared Qualified Appeared Qualified 2017 1800 60% 1520 30% 2018 2400 43% - 40% 2019 - 60% 1040 60% 2020 1920 70% 800 70% 2021 1520 - 1320 -
If from state P, the total number of candidates who qualified in 2020 and 2021 together is 2712, then what percent of candidates remain unqualified from state P in 2021?
10%
To solve the problem, we need to determine the percentage of candidates who remained unqualified from state P in 2021.
- First, get the total number of candidates who qualified from state P in 2021. The total number of qualified candidates from 2020 and 2021 is given as 2712.
- From the table, the number of candidates who appeared in 2020 from state P is 1920, and 70% of them qualified. Thus, the number of candidates who qualified from state P in 2020 is calculated as: \(1920 \times \frac{70}{100} = 1344\)
- Using the information given, we can find the number of qualified candidates from state P in 2021: \(2712 - 1344 = 1368\) (candidates qualified in 2021)
- Next, determine the number of candidates who appeared from state P in 2021. The table indicates 1520 candidates appeared.
- Calculate the number of candidates who did not qualify in 2021: \(1520 - 1368 = 152\) (candidates did not qualify)
- Finally, find the percentage of candidates who remained unqualified: \(\left(\frac{152}{1520}\right) \times 100 \approx 10\%\)
Therefore, the percentage of candidates who remained unqualified from state P in 2021 is 10%.
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