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# On Saturday, the original price of a shirt was discounted by 20%. On

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Math Expert
Joined: 02 Sep 2009
Posts: 60626
On Saturday, the original price of a shirt was discounted by 20%. On  [#permalink]

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14 Feb 2016, 03:11
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:27) correct 13% (01:40) wrong based on 72 sessions

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On Saturday, the original price of a shirt was discounted by 20%. On Monday, the price of the shirt was marked up p percent so that the new price on Monday was 20% more than the original price before the discount. What is the value of p?

A. 20%
B. 30%
C. 33 1⁄3%
D. 40%
E. 50%

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Intern
Joined: 17 Nov 2014
Posts: 49
Location: India
Re: On Saturday, the original price of a shirt was discounted by 20%. On  [#permalink]

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15 Feb 2016, 10:15
Let Original price be O
Saturday price = 0.8 x O
Monday price = 1.P x 0.8x O
Monday price is 20 percent higher than original.price
So 1.P x 0.8 X O = 1.2 x O
1.P = 1.5
Hence P = 50 %
Manager
Joined: 15 Feb 2016
Posts: 58
GMAT 1: 710 Q48 V40
Re: On Saturday, the original price of a shirt was discounted by 20%. On  [#permalink]

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15 Feb 2016, 10:50
Take initial 100
Discounted = 80
Marked up = 120
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It is not who I am underneath but what I do that defines me.
Intern
Joined: 23 Jan 2015
Posts: 36
Location: India
Concentration: Operations
WE: Information Technology (Computer Software)
Re: On Saturday, the original price of a shirt was discounted by 20%. On  [#permalink]

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15 Feb 2016, 10:51
On Saturday, the original price of a shirt was discounted by 20%. On Monday, the price of the shirt was marked up p percent so that the new price on Monday was 20% more than the original price before the discount. What is the value of p?
A. 20%
B. 30%
C. 33 1⁄3%
D. 40%
E. 50%

Let the original price be 100
discounted Price = 80
New Price = 20 +100 =120
P=(40/80)*100

Ans:E
Manager
Status: Build your own dreams,Otherwise some one else will hire you to build there's.
Joined: 30 Apr 2015
Posts: 83
Location: India
Concentration: Finance
Schools: BYU-Marriott'18
GMAT 1: 590 Q45 V26
GMAT 2: 660 Q47 V34
GPA: 3.68
Re: On Saturday, the original price of a shirt was discounted by 20%. On  [#permalink]

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16 Feb 2016, 20:15
Let original cost price be x
On Saturday Price is=x-.2x=0.8x
On monday,Price is increased by p%=0.8x+p%of 0.8x
this is equal to x+.2x=1.2x

0.8x+0.8px/100=1.2x
0.8x(1+p/100)=1.2x
1+p/100=3/2
p/100=1/2
p=50%
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Re: On Saturday, the original price of a shirt was discounted by 20%. On   [#permalink] 16 Feb 2016, 20:15
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