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# A merchant paid $300 for a shipment of x identical  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: Manager Joined: 07 Jul 2003 Posts: 56 Followers: 2 Kudos [?]: 0 [0], given: 0 A merchant paid$300 for a shipment of x identical [#permalink]  10 Feb 2004, 12:29
A merchant paid $300 for a shipment of x identical calculators. The merchant used 2 of the calculators as demonstrators and sold each of the others for$5 more than the average (arithmetic mean) cost of the x calculators. If the total revenue from the sale of the calculators was $120 more than the cost of the shipment, how many calculators were in the shipment? (A) 24 (B) 25 (C) 26 (D) 28 (E) 30 Could someone tell me how to solve this with an equation..I tried backsolving and got the answer. Thanks. SVP Joined: 30 Oct 2003 Posts: 1797 Location: NewJersey USA Followers: 5 Kudos [?]: 41 [0], given: 0 [#permalink] 10 Feb 2004, 12:48 Cost per calculator = 300/x New cost = 5 + 300/x No of calculators = (x-2) Total cost = 300+120 = 420 (5+300/x)(x-2) = 420 x^2-26x-120 = 0 so x = 30 So there were 30 calculators in the original shipment Manager Joined: 28 Jan 2004 Posts: 203 Location: India Followers: 2 Kudos [?]: 12 [0], given: 4 [#permalink] 11 Feb 2004, 00:56 Same solution as anandnk. 30 is the answer. [#permalink] 11 Feb 2004, 00:56 Similar topics Replies Last post Similar Topics: A merchant paid$300 for a shipment of x identical 3 22 Mar 2008, 14:52
A merchant paid $300 for a shipment of x identical 4 25 Apr 2006, 12:19 A merchant paid$300 for a shipment of x identical 1 06 Apr 2006, 18:50
A merchant paid $300 for a shipment of x identical 2 26 Feb 2006, 09:41 A merchant paid$300 for a shipment of x identical calculato 1 03 Jun 2005, 00:55
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# A merchant paid \$300 for a shipment of x identical

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