A Town T has 40,000 residents, 25 percent of whom are age 60

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A Town T has 40,000 residents, 25 percent of whom are age 60 [#permalink]

26 Feb 2012, 17:43

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A Town T has 40,000 residents, 25 percent of whom are age 60 or older. What percent of the residents are female?

(1) The number of female residents of Town T age 60 or older is 30 percent of the number of female residents who are not 60 or older.

(2) 37 percent of the residents of Town T are males who are not 60 or older.

I really struggle to solve these questions. Now for this I am trying to solve by using attached table but struggling. can you please help?

[Reveal] Spoiler: OA

Attachments

Table.GIF [ 4.81 KiB | Viewed 880 times ]

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Re: A Town T has 40,000 residents, 25 percent of whom are age 60 [#permalink]

26 Feb 2012, 18:29

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A Town T has 40,000 residents, 25 percent of whom are age 60 or older. What percent of the residents are female?

You can solve this problem with just reasoning but since you chose double-set matrix I'll proceed with it to show how it can be done. Given:

Attachment:

Stem.PNG [ 3.86 KiB | Viewed 878 times ]

Numbers in black are given, numbers in red are calculated. We need to find the value of yellow box.

(1) The number of female residents of Town T age 60 or older is 30 percent of the number of female residents who are not 60 or older.

Attachment:

Statement 1.PNG [ 4.05 KiB | Viewed 877 times ]

Not sufficient.

(2) 37 percent of the residents of Town T are males who are not 60 or older.

Attachment:

Statement 2.PNG [ 4.46 KiB | Viewed 877 times ]

Not sufficient.

(1)+(2)

Attachment:

1+2.PNG [ 4.85 KiB | Viewed 876 times ]

We know x=15200, hence we can get 1.3x. Sufficient.

Answer: C.

Hope it helps.
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Re: A Town T has 40,000 residents, 25 percent of whom are age 60 [#permalink]

28 Feb 2012, 17:31

Tough question. But i agree with bunuel.

To a closer look from 1 we have not informations about male; idem for the 2 where we have informations about male but not female.

C is correct.
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Re: A Town T has 40,000 residents, 25 percent of whom are age 60 [#permalink] 28 Feb 2012, 17:31

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A Town T has 40,000 residents, 25 percent of whom are age 60

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A Town T has 40,000 residents, 25 percent of whom are age 60

A Town T has 40,000 residents, 25 percent of whom are age 60

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