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20 Mar 2012, 09:33
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Difficulty:

15% (low)

Question Stats:

78% (02:17) correct 22% (01:56) wrong based on 229 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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Math Expert
Joined: 02 Sep 2009
Posts: 37573
Followers: 7395

Kudos [?]: 99384 [2] , given: 11022

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. _________________ 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, 10:50 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
Manager
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Posts: 174
Location: India
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Kudos [?]: 41 [0], given: 31

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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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Status: The Best Or Nothing
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Concentration: General Management, Technology
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Kudos [?]: 2050 [0], given: 193

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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
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Joined: 09 Sep 2013
Posts: 14393
Followers: 604

Kudos [?]: 174 [0], given: 0

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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 1723 times ]

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Re: The total price of a basic computer and printer are $2,500 [#permalink] 04 Aug 2016, 17:40 Similar topics Replies Last post Similar Topics: The average computer price today is$700. If the average computer pric 1 27 Jan 2017, 08:29
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