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# Ten different items are for sale in a store, and each is

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Intern
Joined: 22 Jun 2012
Posts: 13
Location: India
GPA: 3.09
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Kudos [?]: 48 [0], given: 2

Ten different items are for sale in a store, and each is [#permalink]

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26 Jun 2012, 07:32
00:00

Difficulty:

65% (hard)

Question Stats:

53% (01:46) correct 47% (01:02) wrong based on 43 sessions

Ten different items are for sale in a store, and each is sold at a different price. The average (arithmetic mean) price of these 10 items is $165. If the prices of all the items are changed, will the average price increase? (1) The five most expensive items each increased in price by 10%. (2) The five least expensive items each decreased in price by 10%. [Reveal] Spoiler: OA _________________ \sqrt{[square_root][square_root][square_root][square_root][square_root]}[/square_root][/square_root][/square_root][/square_root][/square_root]???????? Last edited by Bunuel on 26 Jun 2012, 07:36, edited 1 time in total. Edited the question Math Expert Joined: 02 Sep 2009 Posts: 35270 Followers: 6635 Kudos [?]: 85495 [1] , given: 10236 Re: Ten different items are for sale in a store, and each is [#permalink] ### Show Tags 26 Jun 2012, 08:01 1 This post received KUDOS Expert's post Ten different items are for sale in a store, and each is sold at a different price. The average (arithmetic mean) price of these 10 items is$165. If the prices of all the items are changed, will the average price increase?

The question basically asks whether there will be an increase in total price of those 10 items after the price change.

(1) The five most expensive items each increased in price by 10%. Not sufficient since we know nothing about the other items.
(2) The five least expensive items each decreased in price by 10%. Not sufficient since we know nothing about the other items.

(1)+(2) 10% of the total price of 5 most expensive items is clearly more than 10% of the total price of 5 least expensive items, so overall there will be an increase in total price. Sufficient.

Hope it's clear.
_________________
Intern
Joined: 22 Jun 2012
Posts: 13
Location: India
GPA: 3.09
Followers: 0

Kudos [?]: 48 [0], given: 2

Re: Ten different items are for sale in a store, and each is [#permalink]

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26 Jun 2012, 09:28
WOW !!! i cant believe it was that simple... explanation given in there was pretty crappy one.. Thanks Bunuel
_________________

\sqrt{[square_root][square_root][square_root][square_root][square_root]}[/square_root][/square_root][/square_root][/square_root][/square_root]????????

Re: Ten different items are for sale in a store, and each is   [#permalink] 26 Jun 2012, 09:28
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# Ten different items are for sale in a store, and each is

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