CAT Percentages Questions with Solutions – Page 3

All 34 Percentages questions from CAT papers. Tap Show answer, or open the detailed solution (free login). Page 3 of 15.

CAT 2023 Slot 3 · Quant
The population of a town in 2020 was 100,000. The population decreased by \( y\% \) from 2020 to 2021, and increased by \( x\% \) from 2021 to 2022.
If the population in 2022 was greater than in 2020 and \( x - y = 10 \), what was the lowest possible population in 2021?
  1. 72,000
  2. 73,000
  3. 75,000
  4. 74,000
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Answer: B. 73,000

CAT 2023 Slot 3 · Quant
A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes make up 40% of his stock. That day, he sells half of the mangoes, 96 bananas and 40% of the apples. At the end of the day, he ends up selling 50% of the fruits. The smallest possible total number of fruits in the stock at the beginning of the day is
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Answer: 340

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