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# The value of Brie’s heirloom pendant decreased by 50 percent from 2013

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Math Expert
Joined: 02 Sep 2009
Posts: 55170
The value of Brie’s heirloom pendant decreased by 50 percent from 2013  [#permalink]

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12 Apr 2018, 21:38
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Difficulty:

35% (medium)

Question Stats:

92% (01:03) correct 8% (00:41) wrong based on 14 sessions

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The value of Brie’s heirloom pendant decreased by 50 percent from 2013 to 2015. What was the pendant’s value in 2013?

(1) The value of the pendant in 2014 was \$3,000.
(2) The value of the pendant increased by 25% from 2015 to 2017, resulting in a value of \$3,125 at the end of 2017.

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Re: The value of Brie’s heirloom pendant decreased by 50 percent from 2013  [#permalink]

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12 Apr 2018, 22:22
Bunuel wrote:
The value of Brie’s heirloom pendant decreased by 50 percent from 2013 to 2015. What was the pendant’s value in 2013?

(1) The value of the pendant in 2014 was \$3,000.
(2) The value of the pendant increased by 25% from 2015 to 2017, resulting in a value of \$3,125 at the end of 2017.

(1) Value in 2014 = 3000, but no relation about 2013 or 2015. Not sufficient.

(2) So if value of pendant was 'x' in 2015, it increased by 25% making it 5/4 x and given that 5x/4 = 3125. This gives x = 2500
But this value must be 50% less than the value in 2013. So this value (2500) must be 1/2 of the value of 2013. This means value in 2013 = 2500*2 = \$5000. Sufficient.

Re: The value of Brie’s heirloom pendant decreased by 50 percent from 2013   [#permalink] 12 Apr 2018, 22:22
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# The value of Brie’s heirloom pendant decreased by 50 percent from 2013

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