In a survey, 300 respondents were asked whether they own a vehicle or not. If…
2014
In a survey, 300 respondents were asked whether they own a vehicle or not. If yes, they were further asked to mention whether they own a car or scooter or both. Their responses are tabulated below. What percent of respondents do not own a scooter?
Attempted by 7 students.
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Correct answer: 48
We need the percentage of respondents who do not own a scooter.
Count all respondents who own a scooter = those who own only a scooter + those who own both a car and a scooter.
Scooter owners among men: 30 (only scooter) + 60 (both) = 90.
Scooter owners among women: 20 (only scooter) + 46 (both) = 66.
Total scooter owners = 90 + 66 = 156.
Respondents who do not own a scooter = total respondents 300 − 156 = 144.
Percentage who do not own a scooter = (144 / 300) × 100 = 48%.
Quick check: those who do not own a scooter are exactly those who do not own any vehicle (20 + 50 = 70) plus those who own only a car (40 + 34 = 74), giving 70 + 74 = 144, which matches the above.