Question:
In a survey of 500 people living in an apartment, only \(70\% \)of the people responded to the survey. Of them, only \(40\% \) responded in favour of construction of a swimming pool. What percentage of all the people surveyed did NOT respond in favour of construction of a swimming pool?
In a survey of 500 people living in an apartment, only \(70\% \)of the people responded to the survey. Of them, only \(40\% \) responded in favour of construction of a swimming pool. What percentage of all the people surveyed did NOT respond in favour of construction of a swimming pool?
Updated On: Mar 5, 2025
- \(30\%\)
- \(42\%\)
- \(60\%\)
- \(72\%\)
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The Correct Option is D
Solution and Explanation
Step 1: Total number of people surveyed = 500. 70% of them responded, so the number of responses is:
\[ 0.7 \times 500 = 350. \]
Step 2: Of the 350 respondents, 40% responded in favour of the swimming pool:
\[ 0.4 \times 350 = 140 \text{ (responded in favour).} \]
Step 3: The number of people who did not respond in favour is:
\[ 350 - 140 = 210. \]
Step 4: The percentage of all surveyed people who did not respond in favour is:
\[ \frac{210}{500} \times 100 = 42\%. \]
Conclusion: The percentage of people who did not respond in favour of the swimming pool is 42%.
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