Author 
Message 
TAGS:

Hide Tags

Director
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 510
Location: United Kingdom
Concentration: International Business, Strategy
GPA: 2.9
WE: Information Technology (Consulting)

The total price of a basic computer and printer are $2,500
[#permalink]
Show Tags
20 Mar 2012, 09:33
Question Stats:
79% (01:16) correct 21% (01:46) wrong based on 341 sessions
HideShow timer Statistics
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?
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Best Regards, E.
MGMAT 1 > 530 MGMAT 2> 640 MGMAT 3 > 610 GMAT ==> 730




Math Expert
Joined: 02 Sep 2009
Posts: 48074

Re: The total price of a basic computer and printer are $2,500
[#permalink]
Show Tags
20 Mar 2012, 13:18
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.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics




Intern
Joined: 20 Mar 2012
Posts: 2

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
Joined: 07 Dec 2011
Posts: 125
Location: India

Re: The total price of a basic computer and printer are $2,500
[#permalink]
Show Tags
23 Mar 2012, 05:06
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.



Senior Manager
Joined: 13 Mar 2012
Posts: 289
Concentration: Operations, Strategy

Re: The total price of a basic computer and printer are $2,500
[#permalink]
Show Tags
23 Mar 2012, 05:48
p +c=2500 p+c+2500=total(T) Hence T= 3000 P= 1/5*3000=600 HENCE c=1900
_________________
Practice Practice and practice...!!
If my reply /analysis is helpful>please press KUDOS If there's a loophole in my analysis> suggest measures to make it airtight.



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1835
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: The total price of a basic computer and printer are $2,500
[#permalink]
Show Tags
25 Mar 2014, 00:15
Did using one variable: Price of basic computer = x Price of printer = (2500  x) Price of enhanced computer = x + 500 Setting up the equation \(2500  x = \frac{1}{5} * (x+500+2500x)\) x = 1900 = Answer = D
_________________
Kindly press "+1 Kudos" to appreciate



Manager
Joined: 01 Jan 2013
Posts: 54
Location: India

Re: The total price of a basic computer and printer are $2,500
[#permalink]
Show Tags
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 = 25001
\(1/5(Enhance Comp + P) = P\) E.c + p =5p 4p = Ec 4p= B.c + 500 4.p = 2500  p + 500 (from 1) p =600 Bc = 1900



Director
Status: Professional GMAT Tutor
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 664
Location: United States (CA)
Age: 38
GMAT 1: 770 Q47 V48 GMAT 2: 730 Q44 V47 GMAT 3: 750 Q50 V42
WE: Education (Education)

Re: The total price of a basic computer and printer are $2,500
[#permalink]
Show Tags
04 Aug 2016, 17:40
Attached is a visual that should help.
Attachments
FullSizeRender(8).jpg [ 303.04 KiB  Viewed 5680 times ]
_________________
Harvard grad and 99% GMAT scorer, offering expert, private GMAT tutoring and coaching, both inperson (San Diego, CA, USA) and online worldwide, since 2002.
One of the only known humans to have taken the GMAT 5 times and scored in the 700s every time (700, 710, 730, 750, 770), including verified section scores of Q50 / V47, as well as personal bests of 8/8 IR (2 times), 6/6 AWA (4 times), 50/51Q and 48/51V (1 question wrong).
You can download my official testtaker score report (all scores within the last 5 years) directly from the Pearson Vue website: https://tinyurl.com/y94hlarr Date of Birth: 09 December 1979.
GMAT Action Plan and Free EBook  McElroy Tutoring
Contact: mcelroy@post.harvard.edu



Intern
Joined: 02 Apr 2017
Posts: 2

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: 48074

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/thetotalpr ... l#p1061990Bunuel 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.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



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 nativespeaker. 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
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3186
Location: United States (CA)

Re: The total price of a basic computer and printer are $2,500
[#permalink]
Show Tags
20 Apr 2017, 16:44
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. Onefifth 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 WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



NonHuman User
Joined: 09 Sep 2013
Posts: 7777

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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: The total price of a basic computer and printer are $2,500 &nbs
[#permalink]
07 Jul 2018, 03:07






