Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 04 May 2015, 17:39

### GMAT Club Daily Prep

#### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# 4% of the population of a certain country owns both a car an

Author Message
TAGS:
Manager
Joined: 11 Feb 2011
Posts: 141
Followers: 3

Kudos [?]: 57 [1] , given: 21

4% of the population of a certain country owns both a car an [#permalink]  16 Jul 2011, 07:55
1
KUDOS
00:00

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?

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

M05-12
[Reveal] Spoiler: OA

_________________

target:-810 out of 800!

Last edited by Bunuel on 11 Jul 2014, 11:15, edited 1 time in total.
Renamed the topic and edited the question.
SVP
Joined: 16 Nov 2010
Posts: 1684
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 31

Kudos [?]: 342 [0], given: 36

Re: 4% of the population of a certain country owns both a car an [#permalink]  16 Jul 2011, 08:03
0.04x has B+C ( x is total population)

Let # of people who own a boat = y

20% of those who own a boat, do not own a car

=> 0.2y do not have a car

=> 80% of those who own a boat own a car

=> 0.8y = 0.04x

=> y/x = 4/80

So %age = 4/80 * 100 = 5%

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Senior Manager
Joined: 12 Dec 2010
Posts: 282
Concentration: Strategy, General Management
GMAT 1: 680 Q49 V34
GMAT 2: 730 Q49 V41
GPA: 4
WE: Consulting (Other)
Followers: 8

Kudos [?]: 38 [0], given: 23

Re: 4% of the population of a certain country owns both a car an [#permalink]  16 Jul 2011, 09:46
for such Q's visualization may be tricky sometimes, I would recommend to use 2 * matrix here (this method is quite useful- just give it a shot)

lets say X is the % of population with a boat then you would get the equation-

4+ 0.2 * X = X -> solving this results X= 5% (here visualization is the important point!)

Hope it helps
_________________

My GMAT Journey 540->680->730!

~ When the going gets tough, the Tough gets going!

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 5453
Location: Pune, India
Followers: 1335

Kudos [?]: 6783 [4] , given: 177

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

Karishma
Veritas Prep | GMAT Instructor
My Blog

Veritas Prep GMAT course is coming to India. Enroll in our weeklong Immersion Course that starts March 29!

Veritas Prep Reviews

Senior Manager
Joined: 24 Mar 2011
Posts: 465
Location: Texas
Followers: 4

Kudos [?]: 74 [0], given: 20

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%
Manager
Joined: 14 Apr 2011
Posts: 201
Followers: 2

Kudos [?]: 20 [0], given: 19

Re: 4% of the population of a certain country owns both a car an [#permalink]  18 Jul 2011, 09:29
Good tricky question, can confuse people. I use 2x2 matrix but Karishma's approach looks quite good n quick. Will try to use that next time.

Posted from my mobile device
_________________

Looking for Kudos

Manager
Status: On...
Joined: 16 Jan 2011
Posts: 189
Followers: 3

Kudos [?]: 41 [0], given: 62

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
_________________

Labor cost for typing this post >= Labor cost for pushing the Kudos Button
kudos-what-are-they-and-why-we-have-them-94812.html

Senior Manager
Status: mba here i come!
Joined: 07 Aug 2011
Posts: 271
Location: Pakistan
Concentration: Strategy, Marketing
GMAT 1: 680 Q46 V37
GMAT 2: Q V
Followers: 32

Kudos [?]: 782 [0], given: 48

Re: 4% of the population of a certain country owns both a car an [#permalink]  07 Sep 2011, 11:18
4 = bc (boat+car)
x = b
0.2x = bc' (boat but not car)
0.8x = bc (boat+car)

0.8x = 4 ..... x = 5%
_________________

press +1 Kudos to appreciate posts

Manager
Joined: 14 Mar 2010
Posts: 87
Followers: 2

Kudos [?]: 39 [0], given: 44

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%
_________________

MGMAT CAT MATH mgmat-cat-math-144609.html
MGMAT SC SUMMARY: mgmat-sc-summary-144610.html

Math Expert
Joined: 02 Sep 2009
Posts: 27215
Followers: 4228

Kudos [?]: 41017 [0], given: 5654

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.

_________________
Intern
Joined: 12 Jan 2012
Posts: 25
GMAT 1: 720 Q49 V39
Followers: 0

Kudos [?]: 13 [1] , given: 10

Re: 4% of the population of a certain country owns both a car [#permalink]  27 Dec 2012, 20:44
1
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.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 4767
Followers: 296

Kudos [?]: 52 [0], given: 0

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.
_________________
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1858
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 22

Kudos [?]: 877 [0], given: 193

Re: 4% of the population of a certain country owns both a car an [#permalink]  24 Jul 2014, 00:32
Refer diagram below:

4% has both boat & car

20% of those who own a boat, do not own a car; it also means 80% of those who own a boat also own a car

$$\frac{80}{100} b = 4$$

b = 5
Attachments

car.png [ 4.42 KiB | Viewed 498 times ]

_________________

Kindly press "+1 Kudos" to appreciate

Re: 4% of the population of a certain country owns both a car an   [#permalink] 24 Jul 2014, 00:32
Similar topics Replies Last post
Similar
Topics:
3 In a certain country, 60 percent of the population likes basketball, a 5 10 Feb 2015, 07:39
1 If the population of a certain country increases at the rate 6 09 Jun 2014, 05:45
4% of the population of a certain country owns both a car 0 27 Dec 2012, 20:44
6 4% of population of country L has military experience and 4 18 Feb 2008, 10:33
4% of the population of country L has military experience 4 27 Sep 2006, 08:34
Display posts from previous: Sort by