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# The price of an item is discounted 10 percent on day 1 of

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Joined: 09 Feb 2013
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The price of an item is discounted 10 percent on day 1 of [#permalink]

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11 Mar 2013, 23:43
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65% (hard)

Question Stats:

47% (02:27) correct 53% (00:39) wrong based on 97 sessions

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The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 20 percent. The price of the item on day 3 is what percentage of the sale price on day 1?

A. 28%
B. 40%
C. 64.8%
D. 70%
E. 72%
[Reveal] Spoiler: OA

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Last edited by Bunuel on 12 Mar 2013, 01:37, edited 1 time in total.
Edited the question.
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Re: The price of an item is discounted 10 percent on day 1 of [#permalink]

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12 Mar 2013, 01:35
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Expert's post
emmak wrote:
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 20 percent. The price of the item on day 3 is what percentage of the sale price on day 1?

28%

40%

64.8%

70%

72%

Let the initial price before any sales be 100. Thus price after first 10% discount = 90. After second 10% discount = 81. After additional 20% discount = 64.8.

Thus required percentage = $$\frac{64.8}{90}*100$$ = 72 %

E.
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Re: The price of an item is discounted 10 percent on day 1 of [#permalink]

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10 Dec 2013, 11:48
0.9^2*0.8/0.9=8*9=72
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Re: The price of an item is discounted 10 percent on day 1 of   [#permalink] 10 Dec 2013, 11:48
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