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# A clock store sold a certain clock to a collector for 20 per

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A clock store sold a certain clock to a collector for 20 per [#permalink]  11 Jun 2007, 20:02
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A clock store sold a certain clock to a collector for 20 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 50 percent of what the collector had paid. The shop then sold the clock again at a profit of 80 percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $100, for how much did the shop sell the clock the second time? A.$270
B. $250 C.$240
D. $220 E.$200
[Reveal] Spoiler: OA

Last edited by Bunuel on 06 May 2014, 08:27, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Senior Manager
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$270 Original Price = x Sold to collector at 1.2x re-buy price = 1.2x * 0.5 = 0.6x therefore, x - 0.6x = 100; x = 250 second selling price = 1.8 * 0.6 * 250 = 270 Hope, this is not too confusing Senior Manager Joined: 04 Mar 2007 Posts: 442 Followers: 1 Kudos [?]: 17 [1] , given: 0 [#permalink] 12 Jun 2007, 09:52 1 This post received KUDOS 100 % - original price 120 % - sell 1 60 % - bought 2 180*60/100 = 108 % - sell 2 100$ - 40%
x - 108 %
x= 100*108/40 = 270

A
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Re: clock sale - ps [#permalink]  06 May 2014, 08:11
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Re: A clock store sold a certain clock to a collector for 20 per [#permalink]  06 May 2014, 19:22
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hsk wrote:
A clock store sold a certain clock to a collector for 20 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 50 percent of what the collector had paid. The shop then sold the clock again at a profit of 80 percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $100, for how much did the shop sell the clock the second time? A.$270
B. $250 C.$240
D. $220 E.$200

Assume numbers and then use ratios to fit them in with the actual numbers.

Say the store bought the clock for $100 and sold it to the collector for$120. The store bought back from the collector for $60 and sold it back at$60*18/10 = $108 Here, difference between original cost ($100) and buy back price ($60) is$40. But actually it is given to be $100 which is 2.5 times 40. So the shop sold the clock a second time for$108*2.5 = \$270
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Re: A clock store sold a certain clock to a collector for 20 per   [#permalink] 06 May 2014, 19:22
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