November 20, 2018 November 20, 2018 09:00 AM PST 10:00 AM PST The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat. November 20, 2018 November 20, 2018 06:00 PM EST 07:00 PM EST What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
Author 
Message 
TAGS:

Hide Tags

Board of Directors
Joined: 01 Sep 2010
Posts: 3306

Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
23 Jul 2017, 09:54
Question Stats:
77% (01:50) correct 23% (02:23) wrong based on 510 sessions
HideShow timer Statistics




Senior Manager
Joined: 14 Oct 2015
Posts: 250
GPA: 3.57

Re: Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
23 Jul 2017, 15:36
carcass wrote: Judy bought a quantity of pens in packages of 5 for $0.80 per package. She sold all of the pens in packages of 3 for $0.60 per package. If Judy's profit from the pens was $8.00, how many pens did she buy and sell?
A. 40
B. 80
C. 100
D. 200
E. 400 It should be D. Cost price per pen = $0.80 / 5 = $0.16 or 16 cents. Sale price per pen = $0.60 / 3 = $0.20 or 20 cents. Profit per pen = 0.20  0.16 = $0.04 or 4 cents. Profit = Profit per pen x number of pens number of pens = Profit/profit per pen = 8/0.04 = 200
_________________
Please hit Kudos if this post helped you inch closer to your GMAT goal. Procrastination is the termite constantly trying to eat your GMAT tree from the inside. There is one fix to every problem, working harder!




Senior SC Moderator
Joined: 22 May 2016
Posts: 2110

Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
23 Jul 2017, 15:59
carcass wrote: Judy bought a quantity of pens in packages of 5 for $0.80 per package. She sold all of the pens in packages of 3 for $0.60 per package. If Judy's profit from the pens was $8.00, how many pens did she buy and sell?
A. 40
B. 80
C. 100
D. 200
E. 400 carcass, you are a master of crafty language, and this one takes the prize. The trap is in the second sentence: "She sold all of the pens in packages of 3 for $0.60 per package." That sentence does not mean that all the pens she sold were in packages of 3. In fact, coupled with the implication of answers that are not multiples of 15, the sentence means just the opposite; it means " not all the pens sold were in boxes of 3." A quantity that can be divided evenly into 5 per package and into 3 per package must be divisible by 15. None of the answer choices offers that possibility. So the pens Judy sold were not all in packages of 3. We have total profit. To get the number of pens, we need Judy's cost per pen and her sell price per pen. A package of five pens cost Judy 80 cents. \(\frac{80}{5}\) = each pen cost 16 cents. A package of three pens sold for 60 cents.\(\frac{60}{3}\) = each pen sold for 20 cents. Profit per pen is 20  16 = 4 cents' profit per pen. Total profit = (profit per pen) * (number N of pens sold) $8.00 = ($0.04)N \(\frac{$8.00}{($0.04)}\) = 200 Number of pens sold: 200 Answer D



Manager
Joined: 24 Nov 2016
Posts: 152

Re: Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
23 Jul 2017, 16:17
carcass wrote: Judy bought a quantity of pens in packages of 5 for $0.80 per package. She sold all of the pens in packages of 3 for $0.60 per package. If Judy's profit from the pens was $8.00, how many pens did she buy and sell?
A. 40 B. 80 C. 100 D. 200 E. 400 I. Cost per pen = 0.80/5 = (4/5)/5 = (4/5)*(1/5) = 4/25 = 16/100 = 0.16; II. Revenue per pen = 0.60/3 = 6/30 = 1/5 = 0.20; III. Profit per pen = Revenue per pen  Cost per pen = 0.20  0.16 = 0.04; IV. Total profit = profit per pen * quantity of pens: (8) = (0.04) * quantity, quantity = 8/0.04 = 800/4 = 200.



Math Expert
Joined: 02 Sep 2009
Posts: 50625

Re: Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
23 Jul 2017, 23:48



Manager
Joined: 22 Nov 2016
Posts: 213
Location: United States
Concentration: Leadership, Strategy
GPA: 3.4

Re: Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
24 Jul 2017, 08:21
\(\frac{x}{5} * (0.8)  \frac{x}{3}*(0.6)\) = 8 \(\frac{2.4x  3x}{15} = 8\) x=200
_________________
Kudosity killed the cat but your kudos can save it.



Senior Manager
Joined: 28 Jun 2015
Posts: 293
Concentration: Finance
GPA: 3.5

Re: Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
24 Jul 2017, 09:14
carcass wrote: Judy bought a quantity of pens in packages of 5 for $0.80 per package. She sold all of the pens in packages of 3 for $0.60 per package. If Judy's profit from the pens was $8.00, how many pens did she buy and sell?
A. 40
B. 80
C. 100
D. 200
E. 400 CP of a pen = \(\frac{80}{5} = 16\) SP of a pen = \(\frac{60}{3} = 20\) Profit = \(2016 = 4\), per pen. Total profit = \(800\), so number of pens = \(\frac{800}{4} = 200\). Ans  D.
_________________
I used to think the brain was the most important organ. Then I thought, look what’s telling me that.



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4170
Location: United States (CA)

Re: Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
26 Jul 2017, 15:37
carcass wrote: Judy bought a quantity of pens in packages of 5 for $0.80 per package. She sold all of the pens in packages of 3 for $0.60 per package. If Judy's profit from the pens was $8.00, how many pens did she buy and sell?
A. 40
B. 80
C. 100
D. 200
E. 400 We can let x = the number of pens she bought and sold. Since she bought the pens in packages of 5, she bought x/5 packages. Similarly, since she sold the pens in packages of 3, she sold x/3 packages. She bought the packages at $0.80 each and sold them at $0.60 each, and her profit is $8.00; thus, we can create the following equation: 0.60(x/3)  0.80(x/5) = 8.00 60(x/3)  80(x/5) = 800 20x  16x = 800 4x = 800 x = 200 Answer: D
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Manager
Joined: 21 Jun 2017
Posts: 84

Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
05 Sep 2017, 07:35
carcass wrote: Judy bought a quantity of pens in packages of 5 for $0.80 per package. She sold all of the pens in packages of 3 for $0.60 per package. If Judy's profit from the pens was $8.00, how many pens did she buy and sell?
A. 40
B. 80
C. 100
D. 200
E. 400 Profit = revenue  cost; Revenue = Sales price x quantity; cost = buy price x quantity profit = profit per individual pen x total number of pens Saleprice/pen = 0.60/3 = .20 cents per pen Buyprice/pen =0.80/5 = .16 cents per pen on the buy profit per pen = .20  .16 = .04 cents profit per pen Profit = profit per pen x number of pens bought and sold 8.00 = .04 x N 200 = number of pens bought and sold bottom line with this one is to start out finding the cost of individual pen and the sale of individual pen. once you find the individual profit, set your variable, and divide from the total profit given. I got this one right, but idk, something weird with the way it is worded threw me off balance for a bit.



Intern
Joined: 16 Sep 2017
Posts: 3

Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
22 Nov 2017, 22:59
Bunuel wrote: Judy bought a quantity of pens in packages of 5 for $0.80 per package. She sold all of the pens in packages of 3 for $0.60 per package. If Judy's profit from the pens was $8.00, how many pens did she buy and sell?
A. 40
B. 80
C. 100
D. 200
E. 400
Cost price: packages of 5 for $0.80 per package = $0.80/5 = $0.16 per pen. Selling price: packages of 3 for $0.60 per package = $0.60/3 = $0.2 per pen.
Profit = ¢4 per pen. Total profit = ¢800. The number of pens = 800/4 = 200.
Answer: D. Bunuel ScottTargetTestPrep how is it possible to sell 200 pens in packages of 3? shouldn't the number of pens be a multiple of 3?



Intern
Joined: 16 Sep 2017
Posts: 3

Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
Updated on: 25 Nov 2017, 06:37
mnshg wrote: how is it possible to sell 200 pens in packages of 3? shouldn't the number of pens be a multiple of 3? chetan2u VeritasPrepKarishma mikemcgarry may you please help clarify my doubt? I was solving this Q under timed conditions. I approached the problem by concluding that the answer must a multiple of 3 and 5, but couldn't find such a number in the answer choices. So I got tensed about the time wasted and then couldn't solve it any further.
Originally posted by mnshg on 25 Nov 2017, 06:26.
Last edited by mnshg on 25 Nov 2017, 06:37, edited 1 time in total.



Math Expert
Joined: 02 Aug 2009
Posts: 7036

Re: Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
25 Nov 2017, 06:36
mnshg wrote: mnshg wrote: how is it possible to sell 200 pens in packages of 3? shouldn't the number of pens be a multiple of 3? chetan2u VeritasPrepKarishma mikemcgarry may you please help clarify my doubt? Hi, you are correct the number of pens should have been a multiple of 3... I can always take it as the remaining 2 were not sold... Although answer can be found without getting into number of packages and thus avoiding looking into this aspect, but it is not exactly correct even if it is an official Q
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



Intern
Joined: 24 May 2015
Posts: 4
Location: India
GPA: 3.85

Re: Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
15 Dec 2017, 09:42
carcass wrote: Judy bought a quantity of pens in packages of 5 for $0.80 per package. She sold all of the pens in packages of 3 for $0.60 per package. If Judy's profit from the pens was $8.00, how many pens did she buy and sell?
A. 40
B. 80
C. 100
D. 200
E. 400 > cost price of 5 pens is 0.8 => 15 would cost 2.4$ > selling price of 3 pens is 0.8 => 15 would cost 3.0$ Net profit on 15 pens is 0.6 $ 0.6 $ profit on 15 pens 8.0$ profit on how many pens = (8 *15)/(0.6) = (800* 15)/(60) = (800/4)= 200.



Intern
Joined: 26 Apr 2015
Posts: 10

Re: Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
13 Oct 2018, 12:58
carcass wrote: Judy bought a quantity of pens in packages of 5 for $0.80 per package. She sold all of the pens in packages of 3 for $0.60 per package. If Judy's profit from the pens was $8.00, how many pens did she buy and sell?
A. 40
B. 80
C. 100
D. 200
E. 400 This question has to be flawed. You can't have 200/3 or 66 2/3 packages sold, and you can't assume 2 pens were not sold either, because the stem specifically states that all pens were sold.



GMAT Club Verbal Expert
Status: GMAT and GRE tutor
Joined: 13 Aug 2009
Posts: 2097
Location: United States
GMAT 1: 780 Q51 V46 GMAT 2: 800 Q51 V51

Re: Judy bought a quantity of pens in packages of 5 for $0.80 per package
[#permalink]
Show Tags
31 Oct 2018, 14:32
LEOiAM wrote: carcass wrote: Judy bought a quantity of pens in packages of 5 for $0.80 per package. She sold all of the pens in packages of 3 for $0.60 per package. If Judy's profit from the pens was $8.00, how many pens did she buy and sell?
A. 40
B. 80
C. 100
D. 200
E. 400 This question has to be flawed. You can't have 200/3 or 66 2/3 packages sold, and you can't assume 2 pens were not sold either, because the stem specifically states that all pens were sold. I don't normally stick my nose in the quant section of the forum much, but a very smart tutor I work with brought up the same concern yesterday. generis does a nice job of addressing this worry in this post above  and for whatever it's worth, this is an official question, so if it's flawed, we're stuck with it, anyway. If it helps, I'll try to rephrase what generis said above. In the original question, Judy bought pens (200 of them, as it turns out) in packages of 5. "She sold all of the [200] pens in packages of 3 for $0.60." Technically speaking, she must have sold at least 201 pens in those packages of 3, because 200 isn't divisible by 3. But that doesn't change the fact that she sold "all of the [200] pens" for $0.20 per pen. She must have sold some additional pens as well, but that doesn't change the fact that she sold those 200 pens that she bought for a profit of $8. So for the question to make sense, you don't have to assume that she sold only 198 pens  because the question clearly states that she sold ALL of the pens she bought in those packs of 5. But there's no reason why she couldn't sell additional pens to bring the total up to a multiple of 3. So she still makes a profit of 4 cents per pen for all 200 pens. So technically speaking, the question isn't flawed or wrong. I think that the question could have been clearer and better if they'd chosen better numbers, but GMAC doesn't care what I think. I hope this helps!
_________________
GMAT Club Verbal Expert  GMAT/GRE tutor @ www.gmatninja.com (Now hiring!)  Instagram  Food blog  Notoriously bad at PMs
Beginners' guides to GMAT verbal Reading Comprehension  Critical Reasoning  Sentence Correction
YouTube LIVE verbal webinars Series 1: Fundamentals of SC & CR  Series 2: Developing a Winning GMAT Mindset
SC & CR Questions of the Day (QOTDs), featuring expert explanations All QOTDs  Subscribe via email  RSS
Need an expert reply? Hit the request verbal experts' reply button  and please be specific about your question. Feel free to tag @GMATNinja in your post. Priority is always given to official GMAT questions.
Sentence Correction articles & resources How to go from great (760) to incredible (780) on GMAT SC  That "ing" Word Probably Isn't a Verb  That "ed" Word Might Not Be a Verb, Either  NoBS Guide to GMAT Idioms  "Being" is not the enemy  WTF is "that" doing in my sentence?
Reading Comprehension, Critical Reasoning, and other articles & resources All GMAT Ninja articles on GMAT Club  Using LSAT for GMAT CR & RC 7 reasons why your actual GMAT scores don't match your practice test scores  How to get 4 additional "fake" GMAT Prep tests for $29.99  Time management on verbal




Re: Judy bought a quantity of pens in packages of 5 for $0.80 per package &nbs
[#permalink]
31 Oct 2018, 14:32






