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The total price of a basic computer and printer are $2,500 [#permalink] ### Show Tags 20 Mar 2012, 08:33 6 This post was BOOKMARKED 00:00 Difficulty: 15% (low) Question Stats: 80% (02:17) correct 20% (01:53) wrong based on 220 sessions ### HideShow timer Statistics 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 _________________ Best Regards, E. MGMAT 1 --> 530 MGMAT 2--> 640 MGMAT 3 ---> 610 GMAT ==> 730 Intern Joined: 20 Mar 2012 Posts: 2 Followers: 0 Kudos [?]: 0 [0], given: 0 Re: Price of a Basic Computer [#permalink] ### Show Tags 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
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Re: The total price of a basic computer and printer are $2,500 [#permalink] ### Show Tags 20 Mar 2012, 12:18 2 This post received KUDOS Expert's post 3 This post was BOOKMARKED 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. Answer: D. _________________ Manager Joined: 07 Dec 2011 Posts: 174 Location: India Followers: 1 Kudos [?]: 41 [0], given: 24 Re: The total price of a basic computer and printer are$2,500 [#permalink]

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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.
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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
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Re: The total price of a basic computer and printer are $2,500 [#permalink] ### Show Tags 04 Aug 2016, 16:40 Top Contributor Attached is a visual that should help. Attachments FullSizeRender(8).jpg [ 303.04 KiB | Viewed 1381 times ] _________________ Harvard grad and 770 GMAT scorer, offering high-quality private GMAT tutoring, both in-person and via Skype, since 2002. McElroy Tutoring Re: The total price of a basic computer and printer are$2,500   [#permalink] 04 Aug 2016, 16:40
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