CAT Percentages Questions with Solutions – Page 7

All 34 Percentages questions from CAT papers. Tap Show answer, or open the detailed solution (free login). Page 7 of 15.

CAT 2021 Slot 3 · Quant

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In a tournament, a team has played 40 matches so far and won 30% of them. If they win 60% of the remaining matches, their overall win percentage will be 50%. Suppose they win 90% of the remaining matches, then the total number of matches won by the team in the tournament will be
  1. 80
  2. 78
  3. 84
  4. 86
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Answer: C. 84

CAT 2021 Slot 3 · Quant

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The total of male and female populations in a city increased by 25% from 1970 to 1980. During the same period, the male population increased by 40% while the female population increased by 20%. From 1980 to 1990, the female population increased by 25%. In 1990, if the female population is twice the male population, then the percentage increase in the total of male and female populations in the city from 1970 to 1990 is
  1. 68.25
  2. 68.75
  3. 68.50
  4. 69.25
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Answer: B. 68.75

CAT 2021 Slot 3 · Quant

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One part of a hostel's monthly expenses is fixed, and the other part is proportional to the number of its boarders. The hostel collects ₹ 1600 per month from each boarder. When the number of boarders is 50, the profit of the hostel is ₹ 200 per boarder, and when the number of boarders is 75, the profit of the hostel is ₹ 250 per boarder. When the number of boarders is 80, the total profit of the hostel, in INR, will be
  1. 20200
  2. 20500
  3. 20800
  4. 20000
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Answer: B. 20500

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