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20 Mar 2012, 09:33
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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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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 Re: Price of a Basic Computer [#permalink] ### Show Tags 20 Mar 2012, 10:50 1 This post received 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
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Re: The total price of a basic computer and printer are $2,500 [#permalink] ### Show Tags 20 Apr 2017, 16:44 1 This post received 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.

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

FullSizeRender(8).jpg [ 303.04 KiB | Viewed 2595 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??
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Posts: 39662
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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Re: The total price of a basic computer and printer are $2,500 [#permalink] ### Show Tags 17 Apr 2017, 04:50 OK, I saw that answer, but I am sorry if I am missunderstanding, it might be because I am not an English native-speaker. The question says : The total price of a basic computer and printer are$2,500. >> Total price = CB + P = $2,500. Ok ...If the same printer had been purchased with an enhanced computer whose price was$500 more than the price of the basic computer, >> CE = CB+ 500, hence New Total Price = (CB + 500) + P. Here, from what I undestand, it doesn't say that the new total price is $500 more, just the isolated Computer Enhanced. ...,then the price of the printer would have been 1/5 of that total. >> And here it says that THE PRICE OF THE PRINTER, only the printer, is 1/5 of THAT TOTAL. So I was doing P = 1/5*2,500. I am confused with the wording I think... Re: The total price of a basic computer and printer are$2,500   [#permalink] 17 Apr 2017, 04:50
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