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

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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, 22:43
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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, 00:37, 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, 00:35
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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, 10:48
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]

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30 Jun 2016, 21:24
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Re: The price of an item is discounted 10 percent on day 1 of [#permalink]

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01 Jul 2016, 02:37
original price = 100
day 1 discount = 10%,price = 100-10 =90
day 2 discount = 10%,price = 90-9=81
day 3 discount = 20%,price = 81-16.2= 64.8
which is 64.8/90 *100 of the sale price on day 1= ~72%
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Re: The price of an item is discounted 10 percent on day 1 of [#permalink]

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01 Jul 2016, 07:28
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?

A. 28%
B. 40%
C. 64.8%
D. 70%
E. 72%

Let initial price be 1000

Price in day 1 after 10% discount = 900

Price in day 2 after 10% discount = 810

Price in day 3 after 20% discount = 648

So, Price in day 3 as percentage of the sale price on day 1 will be = 648/900*100 => 72%

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

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01 Jul 2016, 10:24
.9*.9*.8/.9=.9*.8=72%
The price of an item is discounted 10 percent on day 1 of   [#permalink] 01 Jul 2016, 10:24
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