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4% of the population of a certain country owns both a car an [#permalink]
16 Jul 2011, 07:55

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Difficulty:

5% (low)

Question Stats:

87% (02:56) correct
13% (03:11) wrong based on 70 sessions

4% of the population of a certain country owns both a car and a boat. If 20% of those who own a boat, do not own a car, what percentage of the country's population owns a boat?

Re: 4% of the population of a certain country owns both a car an [#permalink]
17 Jul 2011, 21:10

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This post received KUDOS

Expert's post

AnkitK wrote:

4% of the population of a country, , owns a car and a boat. If 20% of those who own a boat, do not own a car, what percentage of the country's population owns a boat?

5% 7.5% 10% 12.5% 15%

When I read, "If 20% of those who own a boat, do not own a car", I say to myself, "Ok, then 80% of those who own a boat, do own a car too." But this number (people who own a boat and a car) is given as 4% of Population. So 80% of Boat owners = 4% of Population Boat owners = 1/20 of Population = 5% of Population _________________

Re: 4% of the population of a certain country owns both a car an [#permalink]
17 Jul 2011, 21:28

Assume there are 1000 people, 40 owns both car & boat. 20% of those who owns a boat do not own a car i.e. 80% of boat owners, own cars. i.e. 0.8 B = 40 ==> B = 50 % of boat owners = 50/1000 = 5%

Re: 4% of the population of a certain country owns both a car an [#permalink]
18 Jul 2011, 11:40

VeritasPrepKarishma wrote:

AnkitK wrote:

4% of the population of a country, , owns a car and a boat. If 20% of those who own a boat, do not own a car, what percentage of the country's population owns a boat?

5% 7.5% 10% 12.5% 15%

When I read, "If 20% of those who own a boat, do not own a car", I say to myself, "Ok, then 80% of those who own a boat, do own a car too." But this number (people who own a boat and a car) is given as 4% of Population. So 80% of Boat owners = 4% of Population Boat owners = 1/20 of Population = 5% of Population

Perfect approach - I also used the same approach. .

20% of those who own boat -> own no Car So 80% of those who own boat -> own a car This is 4% of population So 80% of those who own boat = 4% of population ==> 100% of those who own boat = (4/80)100 = 5%

Hope this makes sense...Give kudos to Karishma because she posted this solution first _________________

4% of the population of a certain country owns both a car [#permalink]
28 Apr 2012, 18:47

4% of the population of a certain country owns both a car and a boat. If 20% of those who own a boat, do not own a car, what percentage of the country's population owns a boat?

A. 5% B. 7.5% C. 10% D. 12.5% E. 15% _________________

Re: 4% of the population of a certain country owns both a car [#permalink]
29 Apr 2012, 02:59

Expert's post

monir6000 wrote:

4% of the population of a certain country owns both a car and a boat. If 20% of those who own a boat, do not own a car, what percentage of the country's population owns a boat?

A. 5% B. 7.5% C. 10% D. 12.5% E. 15%

Say total population of the country is 100. Then # of people who owns both a car and a boat is 0.04*100=4.

Now, since 20% of those who own a boat, do not own a car, then 80% of those who own a boat, do own a car, so own both a car and a boat. So, we have that if # of people who owns a boat is B, then # of people who owns both a car and a boat is 0.8B. On the other hand we know that # of people who owns both a car and a boat is 4, hence 0.8B=4 --> B=5. Which means that 5% of the population owns a boat.

Re: 4% of the population of a certain country owns both a car [#permalink]
27 Dec 2012, 20:44

1

This post received KUDOS

monir6000 wrote:

4% of the population of a certain country owns both a car and a boat. If 20% of those who own a boat, do not own a car, what percentage of the country's population owns a boat?

A. 5% B. 7.5% C. 10% D. 12.5% E. 15%

Let “x” be the total number of people with a boat. Let “y” be the total population. 4% own both a boat and a car -> 0.04y ------- 1 20% of those who own a boat do not own a car So 80% of those who own a boat own a car -> 0.8x ------2 Since 1 and 2 represent the number of people with both car and boat 0.04y = 0.8x x= 0.05y -> 5% of entire population.

Re: 4% of the population of a certain country owns both a car an [#permalink]
11 Jul 2014, 11:00

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