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 -
Number of candidates who have qualified from P in 2017 is what per cent more or less than the number of candidates who have qualified from Q in 2020?
92 6/7 %
To determine the percentage difference between the number of candidates who qualified from State P in 2017 and those from State Q in 2020, we need to calculate the exact numbers first, using the data provided in the table:
- Calculate the number of candidates qualified from State P in 2017:
- Number of candidates who appeared from State P in 2017 = 1800
- Percentage of candidates who qualified = 60%
- Number of candidates who qualified = \(1800 \times \frac{60}{100} = 1080\)
- Calculate the number of candidates qualified from State Q in 2020:
- Number of candidates who appeared from State Q in 2020 = 800
- Percentage of candidates who qualified = 70%
- Number of candidates who qualified = \(800 \times \frac{70}{100} = 560\)
- Calculate the percentage difference:
- Difference in the number of qualified candidates = \(1080 - 560 = 520\)
- Percentage difference relative to State Q in 2020 = \(\left(\frac{520}{560}\right) \times 100 = 92 \frac{6}{7} \%\)
Therefore, the number of candidates who qualified from State P in 2017 is 92 6/7% more than the number from State Q in 2020, which matches the correct answer provided in the options.
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