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# The total price of a basic computer and a printer was $2,500. If the SORT BY: Tags: Show Tags Hide Tags Senior Manager Joined: 25 Jun 2011 Status:Finally Done. Admitted in Kellogg for 2015 intake Posts: 395 Own Kudos [?]: 17117 [48] Given Kudos: 217 Location: United Kingdom Concentration: International Business, Strategy GMAT 1: 730 Q49 V45 GPA: 2.9 WE:Information Technology (Consulting) Most Helpful Reply Math Expert Joined: 02 Sep 2009 Posts: 94837 Own Kudos [?]: 647985 [33] Given Kudos: 86892 General Discussion Intern Joined: 20 Mar 2012 Posts: 2 Own Kudos [?]: 4 [4] Given Kudos: 0 Manager Joined: 07 Dec 2011 Posts: 50 Own Kudos [?]: 85 [0] Given Kudos: 31 Location: India Re: The total price of a basic computer and a printer was$2,500. If the [#permalink]
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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Re: The total price of a basic computer and a printer was $2,500. If the [#permalink] 1 Kudos p +c=2500 p+c+2500=total(T) Hence T= 3000 P= 1/5*3000=600 HENCE c=1900 SVP Joined: 27 Dec 2012 Status:The Best Or Nothing Posts: 1558 Own Kudos [?]: 7318 [0] Given Kudos: 193 Location: India Concentration: General Management, Technology WE:Information Technology (Computer Software) Re: The total price of a basic computer and a printer was$2,500. If the [#permalink]
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 a printer was $2,500. If the [#permalink] 1 Kudos [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 Tutor Joined: 10 Jul 2015 Status:Expert GMAT, GRE, and LSAT Tutor / Coach Affiliations: Harvard University, A.B. with honors in Government, 2002 Posts: 1182 Own Kudos [?]: 2442 [1] Given Kudos: 274 Location: United States (CO) Age: 44 GMAT 1: 770 Q47 V48 GMAT 2: 730 Q44 V47 GMAT 3: 750 Q50 V42 GMAT 4: 730 Q48 V42 (Online) GRE 1: Q168 V169 GRE 2: Q170 V170 Re: The total price of a basic computer and a printer was$2,500. If the [#permalink]
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Attached is a visual that should help.
Attachments

FullSizeRender(8).jpg [ 303.04 KiB | Viewed 29158 times ]

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Re: The total price of a basic computer and a printer was $2,500. If the [#permalink] 1 Kudos Where does the$3,000 comes from??
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Re: The total price of a basic computer and a printer was $2,500. If the [#permalink] 1 Kudos Expert Reply 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 a printer was $2,500. If the [#permalink] 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... Target Test Prep Representative Joined: 14 Oct 2015 Status:Founder & CEO Affiliations: Target Test Prep Posts: 19285 Own Kudos [?]: 22844 [3] Given Kudos: 286 Location: United States (CA) Re: The total price of a basic computer and a printer was$2,500. If the [#permalink]
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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 Intern Joined: 15 Feb 2018 Posts: 17 Own Kudos [?]: 23 [1] Given Kudos: 32 Re: The total price of a basic computer and a printer was$2,500. If the [#permalink]
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mrmartins wrote:
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...

Even I thought the same. There's no where written that the price increased. I assumed it to be the same as well
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Re: The total price of a basic computer and a printer was $2,500. If the [#permalink] 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 a printer was$2,500. If the [#permalink]
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