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

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
Heather compares the price of a new computer at two different stores.  [#permalink]

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26 Mar 2019, 23:43
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Difficulty:

45% (medium)

Question Stats:

52% (02:18) correct 48% (01:31) wrong based on 21 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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Manager
Joined: 23 Jan 2018
Posts: 221
Location: India
WE: Information Technology (Computer Software)
Re: Heather compares the price of a new computer at two different stores.  [#permalink]

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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
Intern
Joined: 27 Sep 2018
Posts: 37
Re: Heather compares the price of a new computer at two different stores.  [#permalink]

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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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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.

Regards,
Arup
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Posts: 5027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Heather compares the price of a new computer at two different stores.  [#permalink]

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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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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

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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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