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20 Mar 2012, 09:33
1
16
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Difficulty:

15% (low)

Question Stats:

79% (01:16) correct 21% (01:46) wrong based on 341 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?

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Re: The total price of a basic computer and printer are $2,500 [#permalink] ### Show Tags 20 Mar 2012, 13:18 5 8 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. _________________ ##### General Discussion Intern Joined: 20 Mar 2012 Posts: 2 Re: Price of a Basic Computer [#permalink] ### Show Tags 20 Mar 2012, 10:50 2 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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23 Mar 2012, 05:48
1
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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16 Apr 2017, 17:42
Where does the $3,000 comes from?? Math Expert Joined: 02 Sep 2009 Posts: 48074 Re: The total price of a basic computer and printer are$2,500  [#permalink]

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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. Answer: D. _________________ Intern Joined: 02 Apr 2017 Posts: 2 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...
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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 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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Re: The total price of a basic computer and printer are $2,500 [#permalink] ### Show Tags 07 Jul 2018, 03:07 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 &nbs [#permalink] 07 Jul 2018, 03:07
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