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Heather compares the price of a new computer at two different stores.

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Heather compares the price of a new computer at two different stores.  [#permalink]

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New post 26 Mar 2019, 23:43
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

53% (02:28) correct 47% (01:36) wrong based on 17 sessions

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Heather compares the price of a new computer at two different stores. Store A offers 15% off the sticker price followed by a $90 rebate, and store B offers 25% off the same sticker price with no rebate. Heather saves $15 by buying the computer at store A instead of store B. What is the sticker price of the computer, in dollars?

(A) 750
(B) 900
(C) 1000
(D) 1050
(E) 1500

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Re: Heather compares the price of a new computer at two different stores.  [#permalink]

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New post 26 Mar 2019, 23:53
I will go with the option D.
Let the sticker price be x.

(((85x/100)-90) -(75x/100))=15
This yields x=1050
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Re: Heather compares the price of a new computer at two different stores.  [#permalink]

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New post 27 Mar 2019, 00:33
1
let the sticker price be x
store B price = .75x
store A price= .85x-90

ATQ, Heather saves 15 $ by buying computer from store A
That means store A price is 15 $ less than B

i.e .75x - (.85x-90)=15
0.10x=75
x=750
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Re: Heather compares the price of a new computer at two different stores.  [#permalink]

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New post 27 Mar 2019, 00:44
itsanujsingh wrote:
let the sticker price be x
store B price = .75x
store A price= .85x-90

ATQ, Heather saves 15 $ by buying computer from store A
That means store A price is 15 $ less than B

i.e .75x - (.85x-90)=15
0.10x=75
x=750

I reversed the subtraction. Missed the logic here. thanks for the explanation.

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Re: Heather compares the price of a new computer at two different stores.  [#permalink]

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New post 27 Mar 2019, 03:00
Bunuel wrote:
Heather compares the price of a new computer at two different stores. Store A offers 15% off the sticker price followed by a $90 rebate, and store B offers 25% off the same sticker price with no rebate. Heather saves $15 by buying the computer at store A instead of store B. What is the sticker price of the computer, in dollars?

(A) 750
(B) 900
(C) 1000
(D) 1050
(E) 1500


solve it by plugin options
A= 750*.85-90 = 547.5
B= 750*.75 = 562.5
difference = 15%
IMO A
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Re: Heather compares the price of a new computer at two different stores.  [#permalink]

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New post 29 Mar 2019, 09:28
Bunuel wrote:
Heather compares the price of a new computer at two different stores. Store A offers 15% off the sticker price followed by a $90 rebate, and store B offers 25% off the same sticker price with no rebate. Heather saves $15 by buying the computer at store A instead of store B. What is the sticker price of the computer, in dollars?

(A) 750
(B) 900
(C) 1000
(D) 1050
(E) 1500


Letting n = the sticker price of the computer, we can create the equation:

0.85n - 90 = 0.75n - 15

0.1n = 75

n = 750

Answer: A
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Re: Heather compares the price of a new computer at two different stores.   [#permalink] 29 Mar 2019, 09:28
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