GATE2014-1-GA-9

Question

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?

		Men	Women
Own vehicle	Car	$40$	$34$
	Scooter	$30$	$20$
	Both	$60$	$46$
Do not own vehicle		$20$	$50$

Answer 1

Not having scooter from Men $(40 \text{ (car owner)} + 20 \text{ (nothing owns)})=60$

Not having scooter from Women $(34 \text{ (car owner)} + 50 \text{ (nothing owns)})=84$

percentage =$\dfrac{(60+84)}{300}=48$ i.e. $48 \%$

Answer 2

No. of respondents do not own scooter =
                        No. of persons who have car alone +
                        No. of persons who don't have both.
In men, 40 + 20 = 60 and
In women 34 + 50 = 84.
Total 60 + 84 = 144 .
Now the percentage is, (144/300) *100 = 48
Question 10

Answer 3

No. of respondents do not own scooter =
                        No. of persons who have car alone +
                        No. of persons who don't have both.
In men, 40 + 20 = 60 and
In women 34 + 50 = 84.
Total 60 + 84 = 144 .
Now the percentage is, (144/300) *100 = 48