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

Question

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 .

shelrod007 · Answer

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 %

eddyki · Answer

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%

PareshGmat · Answer

Answer = D. 50%

Say total population = 100

People liking Basketball = 60

People liking Basketball with Golf = 30

Percentage = \frac{30}{60} * 100 = 50%

DesiGmat · Answer

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

Bunuel · Answer

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.

Konstantin1983 · Answer

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!

EMPOWERgmatRichC · Answer

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%

Final Answer:  D

GMAT assassins aren't born, they're made, 
Rich

TomNook · Answer

For these types of questions I like to start by drawing a 2x2 matrix

Let B represent those who play basketball
Let B' represent those who don't play basketball
Let G represent those who play golf
Let G' represent those who don't play golf
Let T represent total

Let T = 100 to make the calculation easier. Fill in the info given in the question in the table. You are given 60% of total people play basketball so fill that in under B Total. Question also tells you that 30% of total people play both basketball and golf so fill that info in as well.

You need to know % of people who like basketball also like golf so you do
 \frac{30}{60} * 100  = 50%

Answer:  D

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