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20 Mar 2012, 09:33
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Difficulty:

15% (low)

Question Stats:

78% (02:14) correct 22% (01:51) wrong based on 275 sessions

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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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Posts: 2
Re: Price of a Basic Computer [#permalink]

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20 Mar 2012, 10:50
1
KUDOS
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: 39677 Re: The total price of a basic computer and printer are$2,500 [#permalink]

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20 Mar 2012, 13:18
3
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Expert's post
6
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.

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Posts: 157
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23 Mar 2012, 05:48
p +c=2500
p+c+2500=total(T)

Hence T= 3000

P= 1/5*3000=600

HENCE c=1900
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Concentration: General Management, Technology
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03 May 2014, 01:11
[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
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15976

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04 Aug 2016, 17:40
Top Contributor
Attached is a visual that should help.
Attachments

FullSizeRender(8).jpg [ 303.04 KiB | Viewed 2599 times ]

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Re: The total price of a basic computer and printer are $2,500 [#permalink] ### Show Tags 16 Apr 2017, 17:42 Where does the$3,000 comes from??
Math Expert
Joined: 02 Sep 2009
Posts: 39677
Re: The total price of a basic computer and printer are $2,500 [#permalink] ### Show Tags 16 Apr 2017, 23:54 mrmartins wrote: Where does the$3,000 comes from??

It's explained in this post: https://gmatclub.com/forum/the-total-pr ... l#p1061990

Bunuel wrote:
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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Joined: 02 Apr 2017
Posts: 2

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20 Apr 2017, 16:44
1
KUDOS
Expert's post
enigma123 wrote:
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

We are given that the total price of a basic computer and a printer was $2,500. If we let a = the price of the basic computer and b = the price of the printer, we can create the following equation: a + b = 2,500 We are next given that 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.

If we let the price of the enhanced computer = 500 + a, then we can create the following equation:

(1/5)(500 + a + b) = b

Since a + b = 2,500, we can substitute 2,500 for a + b into the equation (1/5)(500 + a + b) = b.

(1/5)(500 + 2,500) = b

(1/5)(3,000) = b

600 = b

Since b = 600 and a + b = 2,500, we can determine the value of a.

a + 600 = 2,500

a = 1,900

Alternate Solution

The package price of the enhanced computer + printer is $3000. One-fifth of that total is$600, which is the price of the printer by itself. Since the package price of the basic computer + printer is $2,500, we subtract the printer price of$600, getting $1,900 as the price of the basic computer only. Answer: D _________________ Scott Woodbury-Stewart Founder and CEO GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Re: The total price of a basic computer and printer are$2,500   [#permalink] 20 Apr 2017, 16:44
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