If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what

Practice Questions

Q1
If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either fruit?
  1. 35%
  2. 30%
  3. 25%
  4. 20%

Questions & Step-by-Step Solutions

If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either fruit?
  • Step 1: Identify the percentage of people who like apples, which is 25%.
  • Step 2: Identify the percentage of people who like oranges, which is 15%.
  • Step 3: Identify the percentage of people who like both fruits, which is 5%.
  • Step 4: To find the percentage of people who like either fruit, add the percentage of apple lovers (25%) to the percentage of orange lovers (15%).
  • Step 5: Subtract the percentage of people who like both fruits (5%) from the total obtained in Step 4 to avoid double counting.
  • Step 6: The calculation is 25% + 15% - 5% = 35%.
  • Step 7: Therefore, 35% of the population likes either apples or oranges.
  • Inclusion-Exclusion Principle – A method used to calculate the size of the union of two sets by adding the sizes of the individual sets and subtracting the size of their intersection.
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