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# The total price of a basic computer and printer are $2,500  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: Director Status: Preparing for the 4th time -:( Joined: 25 Jun 2011 Posts: 562 Location: United Kingdom Concentration: International Business, Strategy GMAT Date: 06-22-2012 GPA: 2.9 WE: Information Technology (Consulting) Followers: 11 Kudos [?]: 129 [0], given: 217 The total price of a basic computer and printer are$2,500 [#permalink]  20 Mar 2012, 08:33
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Difficulty:

25% (low)

Question Stats:

75% (02:29) correct 24% (01:53) wrong based on 54 sessions
The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was$500 more than the price of the basic computer, then the price of the printer would have been 1/5 of that total. What was the price of the basic computer?

A. 1500
B. 1600
C. 1750
D. 1900
E. 2000

I started doing this question, but got stuck.

Let x be the price of the basic computer and y be the price of the printer.

x + y = 2500 -------------------------------------------------------------------------------(1)

Price of the enhanced computer = x + 500 ---------------------------------------------------(2)

Price of the printer i.e. y = 1/5 (x+500) ------------------------------------------------------(3)

Solving 1 and 2 will give me x = 2000. But the answer is not correct, its D?
[Reveal] Spoiler: OA

_________________

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E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610

Intern
Joined: 20 Mar 2012
Posts: 2
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: Price of a Basic Computer [#permalink]  20 Mar 2012, 09:50
enigma123 wrote:
The price of a basic computer and a printer was $2500. If the same computer had been purchased with an enhanced computer whose price was 500 more than the price of the basic computer, the the price of the printer would have been 1/5 of the total. What was the price of the basic computer? A) 1500 B) 1600 C) 1750 D) 1900 E) 2000 I started doing this question, but got stuck. Let x be the price of the basic computer and y be the price of the printer. x + y = 2500 -------------------------------------------------------------------------------(1) Price of the enhanced computer = x + 500 ---------------------------------------------------(2) Price of the printer i.e. y = 1/5 (x+500) ------------------------------------------------------(3) Solving 1 and 2 will give me x = 2000. But the answer is not correct, its D? My try: Here you have: c=computer p=price Total price of the combo 1: c+p=2500 Total price of the combo 2: c+p+500 = 3000 (here you are not changing any price, only adding 500) p=3000/5=600 Then: C+600 = 2500 C=1900 Math Expert Joined: 02 Sep 2009 Posts: 17396 Followers: 2891 Kudos [?]: 18504 [0], given: 2362 Re: The total price of a basic computer and printer are$2,500 [#permalink]  20 Mar 2012, 12:18
Expert's post
The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was$500 more than the price of the basic computer, then the price of the printer would have been 1/5 of that total. What was the price of the basic computer?
A. 1500
B. 1600
C. 1750
D. 1900
E. 2000

Let the price of basic computer be C and the price of the printer be P: C+P=$2,500. The price of the enhanced computer will be C+500 and total price for that computer and the printer will be 2,500+500=$3,000. Now, we are told that the price of the printer is 1/5 of that new total price: P=1/5*$3,000=$600.

Plug this value in the first equation: C+600=$2,500 --> C=$1,900.

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Manager
Joined: 07 Dec 2011
Posts: 174
Location: India
Followers: 1

Kudos [?]: 30 [0], given: 24

Re: The total price of a basic computer and printer are $2,500 [#permalink] 23 Mar 2012, 04:06 Let B, and P be price of basic computer and printer resp. given B+P=2500 also advanced computer price = B+500 and P= 1/5(2500 + 500) = 600 Substituting this value in the first equation we get B = 2500 -600 = 1900 hence D. Senior Manager Joined: 12 Mar 2012 Posts: 370 Concentration: Operations, Strategy Followers: 2 Kudos [?]: 87 [0], given: 31 Re: The total price of a basic computer and printer are$2,500 [#permalink]  23 Mar 2012, 04:48
p +c=2500
p+c+2500=total(T)

Hence T= 3000

P= 1/5*3000=600

HENCE c=1900
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Senior Manager
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 418
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 1

Kudos [?]: 73 [0], given: 153

Re: The total price of a basic computer and printer are $2,500 [#permalink] 24 Mar 2014, 23:15 Did using one variable: Price of basic computer = x Price of printer = (2500 - x) Price of enhanced computer = x + 500 Setting up the equation 2500 - x = \frac{1}{5} * (x+500+2500-x) x = 1900 = Answer = D _________________ Kindly press "Kudos" to appreciate Re: The total price of a basic computer and printer are$2,500   [#permalink] 24 Mar 2014, 23:15
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