Question:
A survey showed that 40% of respondents prefer coffee, 35% prefer tea, and the rest prefer neither. If 200 people responded, how many prefer neither?
A survey showed that 40% of respondents prefer coffee, 35% prefer tea, and the rest prefer neither. If 200 people responded, how many prefer neither?
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To solve this type of problem, first find the percentage of people who prefer coffee or tea. Subtract this from 100% to find the percentage who prefer neither, then apply this percentage to the total number of respondents.
Updated On: Oct 6, 2025
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The Correct Option is C
Solution and Explanation
First, calculate the percentage of people who prefer either coffee or tea:
\[
40% + 35% = 75%.
\]
This means 75% of the respondents prefer either coffee or tea. The remaining percentage prefers neither:
\[
100% - 75% = 25%.
\]
Now, calculate the number of people who prefer neither:
\[
25% \times 200 = 0.25 \times 200 = 50.
\]
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