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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: Finally Done. Admitted in Kellogg for 2015 intake Joined: 25 Jun 2011 Posts: 536 Location: United Kingdom Concentration: International Business, Strategy GMAT 1: 730 Q49 V40 GPA: 2.9 WE: Information Technology (Consulting) Followers: 44 Kudos [?]: 1621 [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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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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MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730

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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: 30372 Followers: 5083 Kudos [?]: 57232 [1] , given: 8811 Re: The total price of a basic computer and printer are$2,500 [#permalink]  20 Mar 2012, 12:18
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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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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: 369 Concentration: Operations, Strategy Followers: 2 Kudos [?]: 134 [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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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 "+1 Kudos" to appreciate Manager Joined: 01 Jan 2013 Posts: 67 Location: India Followers: 0 Kudos [?]: 20 [0], given: 131 Re: The total price of a basic computer and printer are$2,500 [#permalink]  03 May 2014, 00:11
[quote="enigma123"]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

]

total price = Bc + Printer = 2500-------1

$$1/5(Enhance Comp + P) = P$$
E.c + p =5p
4p = Ec
4p= B.c + 500
4.p = 2500 - p + 500 (from 1)
p =600
Bc = 1900
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Re: The total price of a basic computer and printer are $2,500 [#permalink] 10 Jul 2015, 14:36 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: The total price of a basic computer and printer are$2,500   [#permalink] 10 Jul 2015, 14:36
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