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Quick Sell Outlet sold a total of 40 televisions, each of

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Joined: 01 Jul 2013
Posts: 19
Schools: LBS MIF '15
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Kudos [?]: 16 [1] , given: 16

Quick Sell Outlet sold a total of 40 televisions, each of [#permalink]  14 Oct 2013, 07:51
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56% (02:26) correct 44% (01:08) wrong based on 101 sessions
Quick Sell Outlet sold a total of 40 televisions, each of which was either a Model P television or a Model Q television. Each Model P television sold for $p and each Model Q sold for$q. The average (arithmetic mean) selling price of the 40 televisions was $141. How many of the 40 televisions were Model P televisions? 1) the Model P televisions sold for$30 less than the Model Q televisions

2) Either p=120 or q=120
[Reveal] Spoiler: OA
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Kudos [?]: 28804 [6] , given: 2849

Re: Quick Sell Outlet sold a total of 40 televisions, each of [#permalink]  14 Oct 2013, 08:13
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Quick Sell Outlet sold a total of 40 televisions, each of which was either a Model P television or a Model Q television. Each Model P television sold for $p and each Model Q sold for$q. The average (arithmetic mean) selling price of the 40 televisions was $141. How many of the 40 televisions were Model P televisions? (average price) = (total sales)/(# of televisions sold) 141 = \frac{px+q(40-x)}{40}, where x is the number of Model P televisions sold. (1) The Model P televisions sold for$30 less than the Model Q televisions --> p=q-30. Not sufficient to get x.

(2) Either p=120 or q=120. Not sufficient.

(1)+(2) If q=120, then p=90, so in this case both prices would be less than the average price ($141) which is not possible. Thus p=120 and q=150. When we substitute these values we'll have only one unknown x, so we can solve for it. Sufficient. Answer: C. _________________ Re: Quick Sell Outlet sold a total of 40 televisions, each of [#permalink] 14 Oct 2013, 08:13 Similar topics Replies Last post Similar Topics: 2 An outlet sold 200 chairs and 120 tables. Each chair was sold at loss 1 04 Sep 2014, 22:57 1 If candy bars that regularly sell for$0.40 each are on sale 1 11 Feb 2014, 06:09
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In May, Josep sold 40% of the computers that were sold by 6 19 Feb 2008, 00:31
One week a certain vehicle rental outlet had a total of 40 6 12 Jun 2006, 02:05
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