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In a survey, 60% of respondents like apples, 40% like oranges, and 10% like both

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Question: In a survey, 60% of respondents like apples, 40% like oranges, and 10% like both. What percentage like only apples?

Options:

  1. 50%
  2. 40%
  3. 30%
  4. 20%

Correct Answer: 50%

Solution: 

The percentage of respondents who like only apples is: 60% - 10% = 50%.

In a survey, 60% of respondents like apples, 40% like oranges, and 10% like both

Practice Questions

Q1
In a survey, 60% of respondents like apples, 40% like oranges, and 10% like both. What percentage like only apples?
  1. 50%
  2. 40%
  3. 30%
  4. 20%

Questions & Step-by-Step Solutions

In a survey, 60% of respondents like apples, 40% like oranges, and 10% like both. What percentage like only apples?
  • Step 1: Understand that 60% of respondents like apples.
  • Step 2: Understand that 10% of respondents like both apples and oranges.
  • Step 3: To find the percentage of respondents who like only apples, subtract the percentage of those who like both from the percentage who like apples.
  • Step 4: Perform the calculation: 60% (like apples) - 10% (like both) = 50%.
  • Step 5: Conclude that 50% of respondents like only apples.
  • Set Theory – Understanding the relationships between different groups, specifically using Venn diagrams to visualize overlaps.
  • Percentage Calculation – Calculating percentages based on given data and understanding how to manipulate them to find specific subsets.
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