Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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

1

This post received KUDOS

00:00

A

B

C

D

E

Difficulty:

15% (low)

Question Stats:

83% (02:57) correct
17% (02:42) wrong based on 89 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

4

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

1

This post was BOOKMARKED

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

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Type of Visa: You will be applying for a Non-Immigrant F-1 (Student) US Visa. Applying for a Visa: Create an account on: https://cgifederal.secure.force.com/?language=Englishcountry=India Complete...