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A clothing store sells only pants and skirts. The store curr

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sandy
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A clothing store sells only pants and skirts. The store curr [#permalink] New post   24 Aug 2018, 15:38
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Question Stats:

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A clothing store sells only pants and skirts. The store currently has 1250 pants and 300 skirts in stock. The pants sell for a price ranging from $20 and $80, and skirts in stock sells for a price ranging from $80 to $100.

Quantity A
Quantity B
The average price of an item (pants or skirt) in stock at the store
$100


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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B
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D
Carcass
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Re: A clothing store sells only pants and skirts. The store curr [#permalink] New post   07 Nov 2019, 09:16
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The pants price range from 20 to 80 and the average is 50

So the average price per piece of pants is 25

The skirts price is from 80 to 100 and the average is 90

So the average price per piece of pants is 3.33

the answer is always greater.

B is the answer
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Re: A clothing store sells only pants and skirts. The store curr [#permalink] New post   06 Feb 2021, 21:12
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sandy wrote:
A clothing store sells only pants and skirts. The store currently has 1250 pants and 300 skirts in stock. The pants sell for a price ranging from $20 and $80, and skirts in stock sells for a price ranging from $80 to $100.

Quantity A
Quantity B
The average price of an item (pants or skirt) in stock at the store
$100


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


$20 < 1 pant < $80
1250 x 20 < 1250 pants < 1250 x 80
$25000 < 1250 pants < $100000

$80 < 1 skirt < $100
300 x 80 < 300 skirts < 300 x 100
$24000 < 300 skirts < $30000

Add both inequalities to get overall sum;
$49000 < 1250 pants + 300 skirts < $130000

Divide by total items i.e. 1550 to get the average

$31.61 < Average < $83.87

As we can see, B will always be greater than A
Hence, option B
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B
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Re: A clothing store sells only pants and skirts. The store curr [#permalink] New post   18 Mar 2022, 19:37
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Often, we can find a shortcut that enables us to answer a GRE quant question without doing much math.

In this case, the question tells us that the highest price that a pair of pants sells for is $80, and that the highest price that a skirt sells for is $100.

So, the shortcut here is to notice that even if all the skirts sell for the highest possible price, $100, if there is even one pair of pants in stock, the average price of the items in stock will be under $100. After all, the only way the average price can be greater than or equal $100 is for ALL the items to be priced at or above $100.

So, since the question says that there are 1250 pairs of pants in stock, the average is for sure under $100.

Thus, the correct answer must be (B).
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Re: A clothing store sells only pants and skirts. The store curr [#permalink] New post   22 Oct 2024, 07:01
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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: A clothing store sells only pants and skirts. The store curr [#permalink]
22 Oct 2024, 07:01
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