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# In a certain country, 60 percent of the population likes basketball, a

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Math Expert
Joined: 02 Sep 2009
Posts: 43917
In a certain country, 60 percent of the population likes basketball, a [#permalink]

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10 Feb 2015, 07:39
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In a certain country, 60 percent of the population likes basketball, and 30 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf?

A. 20%
B. 33%
C. 40%
D. 50%
E. 67%

Kudos for a correct solution.
[Reveal] Spoiler: OA

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Manager
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Concentration: Technology, Other
Schools: Haas
GMAT Date: 01-14-2015
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Re: In a certain country, 60 percent of the population likes basketball, a [#permalink]

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10 Feb 2015, 10:21
1
KUDOS
Since we are given 60 % of the population like basket ball assuming the population to be 100 .

60 people like basket ball .

30 % of the population like basketball as well as golf .Translates into 30 people like basket ball and golf using the assumption total population is 100.

Referring to diagram

Therefore people who like basket ball who also like golf are 30 / 60 = 50 %
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Manager
Joined: 17 Dec 2013
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GMAT Date: 01-08-2015
Re: In a certain country, 60 percent of the population likes basketball, a [#permalink]

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10 Feb 2015, 12:16
Quote:
In a certain country, 60 percent of the population likes basketball, and 30 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf?

A. 20%
B. 33%
C. 40%
D. 50%
E. 67%

The math is really easy, if you know what you want. What percentage of the people who like basketball also like golf?

Since 0,6x like basketball, and 0,3x like basketball and golf, we know that 0,3x/0,6x like both -> 50%
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Re: In a certain country, 60 percent of the population likes basketball, a [#permalink]

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10 Feb 2015, 19:16
1
KUDOS

Say total population = 100

People liking Basketball with Golf = 30

Percentage$$= \frac{30}{60} * 100 = 50%$$
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Senior Manager
Joined: 27 Oct 2013
Posts: 252
Location: India
Concentration: General Management, Technology
GMAT Date: 03-02-2015
GPA: 3.88
Re: In a certain country, 60 percent of the population likes basketball, a [#permalink]

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11 Feb 2015, 02:25
1
KUDOS
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Here we go:

Say there are 100 persons in the country

So we have 60 who like basketball.

percentage of the people who like basketball also like golf will be given by

{Basketball + Golf} / Basketball * 100 ----> 30 / 60 * 100 ---> 50%

option D is correct
Math Expert
Joined: 02 Sep 2009
Posts: 43917
Re: In a certain country, 60 percent of the population likes basketball, a [#permalink]

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16 Feb 2015, 04:43
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Bunuel wrote:
In a certain country, 60 percent of the population likes basketball, and 30 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf?

A. 20%
B. 33%
C. 40%
D. 50%
E. 67%

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION

Since this is a percent problem without concrete numbers, we can assign our own. If we assume that there are 100 people in the country, then 60 people like basketball, and 30 people like basketball and golf. We’re looking for people who like both divided by people who like basketball, so 30/60 = 50%, or choice D.
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Re: In a certain country, 60 percent of the population likes basketball, a [#permalink]

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20 Sep 2015, 02:34
Hi guys! I have a question.
Is it correct to say that if 60 people like basketball (and golf) and 30 like both then number of people who like only basketball is 30. Hence 60-30=30 who like only golf and hence share of people who like only golf is (30/60)=50%. Is this correct? Thanks!
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Re: In a certain country, 60 percent of the population likes basketball, a [#permalink]

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04 Apr 2017, 20:49
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).

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Re: In a certain country, 60 percent of the population likes basketball, a   [#permalink] 04 Apr 2017, 20:49
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