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In a certain city, the ratio of the number of people who

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Director
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In a certain city, the ratio of the number of people who [#permalink] New post 04 Jan 2008, 03:24
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In a certain city, the ratio of the number of people who purchase newspaper X to the number of people who purchase newspaper Y is 7:1. What percent of the population purchases newspaper Y?

1) 27% of the population purchases neither newspaper X nor newspaper Y.

2) 70% of the people who purchase newspaper Y also purchase newspaper X.

Please explain your work.
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Re: DS: Newspaper [#permalink] New post 04 Jan 2008, 05:26
I don't know for sure but I think statement one is enough but statement two is not enough alone

Last edited by kbulse on 10 Jan 2008, 06:58, edited 1 time in total.
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Re: DS: Newspaper [#permalink] New post 04 Jan 2008, 09:46
I get C.

If x is the portion of people who purchase y, using both statements you can setup the equation 2.1x + 27 = 100 - x, which can be solved.
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Re: DS: Newspaper [#permalink] New post 04 Jan 2008, 09:53
GK_Gmat wrote:
In a certain city, the ratio of the number of people who purchase newspaper X to the number of people who purchase newspaper Y is 7:1. What percent of the population purchases newspaper Y?

1) 27% of the population purchases neither newspaper X nor newspaper Y.

2) 70% of the people who purchase newspaper Y also purchase newspaper X.

Please explain your work.


this is a set problem

total= x + y - subset xy +N (people who neither buy X nor Y).

we can sustitute x=7y. 1 tells us xy and 2 tells us N. so we can have the total in terms of y and thus we can find the direct relationship b/w y and the total.

OA is C?
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Re: DS: Newspaper [#permalink] New post 08 Jan 2008, 08:55
ok, heres my confusion with statement 1

we're told that 27% dont get X or Y, which mean 73% get either X or Y .. or both as well, I guess.

If we were told that no one gets both papers, then would statement 1 be enough ?
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Re: DS: Newspaper [#permalink] New post 10 Jan 2008, 07:01
marcodonzelli wrote:
GK_Gmat wrote:
In a certain city, the ratio of the number of people who purchase newspaper X to the number of people who purchase newspaper Y is 7:1. What percent of the population purchases newspaper Y?

1) 27% of the population purchases neither newspaper X nor newspaper Y.

2) 70% of the people who purchase newspaper Y also purchase newspaper X.

Please explain your work.


this is a set problem

total= x + y - subset xy +N (people who neither buy X nor Y).

we can sustitute x=7y. 1 tells us xy and 2 tells us N. so we can have the total in terms of y and thus we can find the direct relationship b/w y and the total.

OA is C?



can you explain why statement I is not enough? if we know that 73% of people read papers, that means one eights of 73% read y. am I wrong?
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Re: DS: Newspaper [#permalink] New post 10 Jan 2008, 07:06
kazakhb wrote:
marcodonzelli wrote:
GK_Gmat wrote:
In a certain city, the ratio of the number of people who purchase newspaper X to the number of people who purchase newspaper Y is 7:1. What percent of the population purchases newspaper Y?

1) 27% of the population purchases neither newspaper X nor newspaper Y.

2) 70% of the people who purchase newspaper Y also purchase newspaper X.

Please explain your work.


this is a set problem

total= x + y - subset xy +N (people who neither buy X nor Y).

we can sustitute x=7y. 1 tells us xy and 2 tells us N. so we can have the total in terms of y and thus we can find the direct relationship b/w y and the total.

OA is C?



can you explain why statement I is not enough? if we know that 73% of people read papers, that means one eights of 73% read y. am I wrong?


You're assuming that people either A) purchase ONLY X or B) purchase ONLY Y. Some people may purchase both (in this case, 70% of people who purchase Y do) and will thus be counted twice. We need to know how many purchase both and how many purchase neither to get our answer
Re: DS: Newspaper   [#permalink] 10 Jan 2008, 07:06
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