Problem-Solving and Data AnalysisVery hardOverall percent from two groups
Problem-Solving and Data Analysis practice question
In a survey, 40 percent of the respondents were men and the rest were women. Of the men, 30 percent said yes to a question; of the women, 50 percent said yes. What percent of all respondents said yes?
Answer: 42
0.40 × 30 + 0.60 × 50 = 12 + 30 = 42 percent.
Common wrong answers
- If you answered 32
- 32 weights the women by 0.40.
- If you answered 40
- 40 averages 30 and 50 without weighting.
- If you answered 80
- 80 adds the two percentages.
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