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Of the 200 items sold, 16.5% have a price higher than $ 40,

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Senior Manager
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Of the 200 items sold, 16.5% have a price higher than $ 40, [#permalink] New post 09 Aug 2006, 02:59
Of the 200 items sold, 16.5% have a price higher than $ 40, 1/3 of them higher than $35 are higher than $40. which of the following could be the median price of all items?

I 34
II 35
III 36
VP
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Re: Price of the items [#permalink] New post 09 Aug 2006, 09:26
It should be I and II however little unclear on red part.

getzgetzu wrote:
Of the 200 items sold, 16.5% have a price higher than $ 40, 1/3 of them higher than $35 are higher than $40. which of the following could be the median price of all items?

I 34
II 35
III 36


hey buddy, you always post lots of questions at a time and never post OA. by posting OA, you are fulfilling your responsibility as an originator of the question.
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 [#permalink] New post 09 Aug 2006, 09:45
Yes... unclear question. 1/3 of what????
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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 [#permalink] New post 09 Aug 2006, 10:21
ps_dahiya wrote:
Yes... unclear question. 1/3 of what????


but it doesnot matter whether it is of 200 or of 33 (i.e. 16.5% of 200) because the total wont be greater than 100, making the median 35 or <35. so the poosible median(s) is/are 35 and 34..
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 [#permalink] New post 09 Aug 2006, 10:47
33 items have price greater than $40.

1/3 of the number of items greater than $35 have price greater than $40.

Thus, total number of items with price above $35 is 3*33 i.e. 99
So, 101 items below the price of $36.

Thus, the median can be, as Professor said $34 or $35.

Good question though!
  [#permalink] 09 Aug 2006, 10:47
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Of the 200 items sold, 16.5% have a price higher than $ 40,

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