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?

• A. \(30\%\)
• B. \(42\%\)
• C. \(60\%\)
• D. \(72\%\)

Answer 1

The Correct Option is D

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%.