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

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

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New post 10 Feb 2015, 07:39
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Question Stats:

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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%

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Re: In a certain country, 60 percent of the population likes basketball, a  [#permalink]

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New post 10 Feb 2015, 10:21
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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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Re: In a certain country, 60 percent of the population likes basketball, a  [#permalink]

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New post 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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New post 10 Feb 2015, 19:16
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1
Answer = D. 50%

Say total population = 100

People liking Basketball = 60

People liking Basketball with Golf = 30

Percentage\(= \frac{30}{60} * 100 = 50%\)
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Re: In a certain country, 60 percent of the population likes basketball, a  [#permalink]

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New post 11 Feb 2015, 02:25
1
1
Here we go:

Say there are 100 persons in the country

So we have 60 who like basketball.

30 like {Basketball + Golf}

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
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Re: In a certain country, 60 percent of the population likes basketball, a  [#permalink]

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New post 16 Feb 2015, 04:43
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

Correct Answer: (D).

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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New post 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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New post 06 Mar 2018, 11:43
Hi All,

Shelrod007's approach is a great way to solve this problem - it allows you to TEST a VALUE for the total population, then figure out (and compare) the two subgroups in a really easy way.

The algebra approach isn't too bad though:

X = Total population
.6X = percentage of population that likes basketball
.3X = percentage of populations that likes BOTH basketball and gold

*Note: the prompt does NOT say that 60% of the population likes JUST basketball; this means that the 30% who like BOTH sports are included in the 60% who like basketball*

"What percentage of people who like basketball also like golf?"

%Both/%basketball = .3X/.6X = .3/.6 = 3/6 = 1/2 = 50%

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Re: In a certain country, 60 percent of the population likes basketball, a &nbs [#permalink] 06 Mar 2018, 11:43
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