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# For a long time, the price of a certain console remained the same. Bec

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Math Expert
Joined: 02 Sep 2009
Posts: 56261
For a long time, the price of a certain console remained the same. Bec  [#permalink]

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21 Aug 2018, 06:07
00:00

Difficulty:

25% (medium)

Question Stats:

86% (01:15) correct 14% (01:08) wrong based on 35 sessions

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For a long time, the price of a certain console remained the same. Because of new tariffs, the price of this console increased by 50% last week, and stayed at this new level. This week, Amanda purchased the console with a 50%-off coupon. Amanda paid \$240. What was the original price, before the last week's price increase?

A. 90
B. 180
C. 240
D. 320
E. 360

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Intern
Joined: 09 Sep 2017
Posts: 3
Re: For a long time, the price of a certain console remained the same. Bec  [#permalink]

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21 Aug 2018, 06:16
Original price = x

x*3/2*1/2=240 => x = 320 (D)

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Intern
Joined: 09 Apr 2018
Posts: 31
GPA: 4
Re: For a long time, the price of a certain console remained the same. Bec  [#permalink]

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21 Aug 2018, 09:36
C = original price

price after increase = 1.5C
price with discount in terms of C = $$1.5C*0.5 = 0.75C = 3/4C$$

solving for C
240 = 3/4C
320 = C
Intern
Joined: 17 Aug 2018
Posts: 18
Re: For a long time, the price of a certain console remained the same. Bec  [#permalink]

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21 Aug 2018, 09:41
240/0.5=480
480/1.5=320

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Re: For a long time, the price of a certain console remained the same. Bec   [#permalink] 21 Aug 2018, 09:41
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