January 22, 2019 January 22, 2019 10:00 PM PST 11:00 PM PST In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one. January 26, 2019 January 26, 2019 07:00 AM PST 09:00 AM PST Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.
Author 
Message 
TAGS:

Hide Tags

Senior Manager
Joined: 27 Jun 2012
Posts: 371
Concentration: Strategy, Finance

A shoe Cobbler charges n dollars
[#permalink]
Show Tags
Updated on: 04 Jan 2013, 08:29
Question Stats:
66% (02:43) correct 34% (03:17) wrong based on 233 sessions
HideShow timer Statistics
A shoe cobbler charges n dollars to repair a single pair of loafers. Tomorrow, he intends to earn 240 dollars repairing loafers. If he were to reduce his fee per pair by 20 dollars, he would have to repair an additional pair of the loafers to ear the same amount of revenue. How many pair of loafers does he intend to repair tomorrow? Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Thanks, Prashant Ponde
Tough 700+ Level RCs: Passage1  Passage2  Passage3  Passage4  Passage5  Passage6  Passage7 Reading Comprehension notes: Click here VOTE GMAT Practice Tests: Vote Here PowerScore CR Bible  Official Guide 13 Questions Set Mapped: Click here Finance your Student loan through SoFi and get $100 referral bonus : Click here
Originally posted by PrashantPonde on 03 Jan 2013, 00:09.
Last edited by PrashantPonde on 04 Jan 2013, 08:29, edited 2 times in total.




Math Expert
Joined: 02 Sep 2009
Posts: 52385

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
03 Jan 2013, 01:33




Intern
Joined: 04 May 2013
Posts: 44

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
27 Jun 2013, 18:08
Wouldn't the answer actually be D  4?
The question is asking for how many pair of loafers does he intend to repair tomorrow?
This is (x + 1) (because he would have to repair an additional pair) So shouldn't the answer be (x + 1 = 3 + 1 = 4 = D ??)
Thanks for the help



Math Expert
Joined: 02 Sep 2009
Posts: 52385

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
27 Jun 2013, 19:25



Intern
Joined: 04 May 2013
Posts: 44

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
29 Jun 2013, 10:53
Bunuel wrote: jjack0310 wrote: Wouldn't the answer actually be D  4?
The question is asking for how many pair of loafers does he intend to repair tomorrow?
This is (x + 1) (because he would have to repair an additional pair) So shouldn't the answer be (x + 1 = 3 + 1 = 4 = D ??)
Thanks for the help We are told that the cobbler charges n dollars to repair a pair of shoes. Then we are told that IF he charged n20 dollars he would have to repair an additional pair. Notice that we are not told that he WILL charge n20 dollars, just IF. Hope it's clear. So technically, they have given the future scenario for the cobbler just so we can solve the problem. I mean without that specific sentence we would have too many unknowns. I think I was over thinking the problem. Thanks,



Math Expert
Joined: 02 Sep 2009
Posts: 52385

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
29 Jun 2013, 11:50
jjack0310 wrote: Bunuel wrote: jjack0310 wrote: Wouldn't the answer actually be D  4?
The question is asking for how many pair of loafers does he intend to repair tomorrow?
This is (x + 1) (because he would have to repair an additional pair) So shouldn't the answer be (x + 1 = 3 + 1 = 4 = D ??)
Thanks for the help We are told that the cobbler charges n dollars to repair a pair of shoes. Then we are told that IF he charged n20 dollars he would have to repair an additional pair. Notice that we are not told that he WILL charge n20 dollars, just IF. Hope it's clear. So technically, they have given the future scenario for the cobbler just so we can solve the problem. I mean without that specific sentence we would have too many unknowns. I think I was over thinking the problem. Thanks, Correct. Only that "n20 dollars" case is not a future scenario it's a hypothetical scenario.
_________________
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



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1823
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
16 Oct 2013, 01:45
Price x Qty = Total =============================================================== n x 1 = n n x 240/n = 240 Per condition given: (n20) x 240/n + 1 = 240 Solving above equation gives value of n = 80, Answer = 3
_________________
Kindly press "+1 Kudos" to appreciate



Manager
Joined: 26 Feb 2013
Posts: 154

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
16 Oct 2013, 10:35
The loafer charges n per pair, and he is intending to make 240 from x pairs:
240 = x * n
If he wants to reduce the price by 20 (n  20) he needs to repair 1 more ( x + 1)
240 = (n20)(x+1) xn = (n20)(x+1) xn = xn + n  20x 20 n  20x = 20......
what am I doing wrong?



Manager
Joined: 26 Feb 2013
Posts: 154

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
16 Oct 2013, 10:40
Bunuel wrote: PraPon wrote: A shoe cobbler charges n dollars to repair a single pair of loafers. Tomorrow, he intends to earn 240 dollars repairing loafers. If he were to reduce his fee per pair by 20 dollars, he would have to repair an additional pair of the loafers to ear the same amount of revenue. How many pair of loafers does he intend to repair tomorrow?
Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
See if you can solve it without using algebraic calculations. Explain your shortest method. 240/n=240/(n20) 1 > n=80 > 240/n=240/80=3. Answer: C. P.S. Please provide OA's for the questions and tag them correctly. Should it be +1 ?



Math Expert
Joined: 02 Sep 2009
Posts: 52385

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
16 Oct 2013, 10:50



Math Expert
Joined: 02 Sep 2009
Posts: 52385

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
16 Oct 2013, 10:50
Skag55 wrote: Bunuel wrote: PraPon wrote: A shoe cobbler charges n dollars to repair a single pair of loafers. Tomorrow, he intends to earn 240 dollars repairing loafers. If he were to reduce his fee per pair by 20 dollars, he would have to repair an additional pair of the loafers to ear the same amount of revenue. How many pair of loafers does he intend to repair tomorrow?
Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
See if you can solve it without using algebraic calculations. Explain your shortest method. 240/n=240/(n20) 1 > n=80 > 240/n=240/80=3. Answer: C. P.S. Please provide OA's for the questions and tag them correctly. Should it be +1 ? Let me ask you a question: which is greater 240/n or 240/(n20)?
_________________
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



Manager
Joined: 26 Feb 2013
Posts: 154

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
16 Oct 2013, 10:59
Bunuel wrote: Let me ask you a question: which is greater 240/n or 240/(n20)?
I got confused with the stem. It should be 240/(n +20) + 1 as I imagined it... I think that's enough for me for today!



Manager
Joined: 20 Dec 2013
Posts: 231
Location: India

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
28 Mar 2014, 02:42
I was able to work out (240/n)+1=240/(n20) but somehow got stuck on the equation:n(n20)=4800. How do I solve it quickly? Bunuel,please help!



Manager
Joined: 20 Apr 2014
Posts: 89

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
01 Mar 2016, 03:35
Bunuel, can I plug in from answer choices starting with the middle answer choice ?



Math Expert
Joined: 02 Sep 2009
Posts: 52385

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
01 Mar 2016, 04:43



Math Expert
Joined: 02 Aug 2009
Posts: 7211

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
01 Mar 2016, 04:59
PrashantPonde wrote: A shoe cobbler charges n dollars to repair a single pair of loafers. Tomorrow, he intends to earn 240 dollars repairing loafers. If he were to reduce his fee per pair by 20 dollars, he would have to repair an additional pair of the loafers to ear the same amount of revenue. How many pair of loafers does he intend to repair tomorrow?
Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5 Hi, Since you have asked without algebric calculations, one method which will depend on the INFO we INFER from Q..1) since price per loafer is reduced by 20, the earlier price >20.. 2) Also 240 is teh total cost, the OLD and REDUCED price must be factor of 240.. 3) From th e above two points, the OLD and REDUCED price must be one of 24,30,40,48,60,80,120,240.. 4) We have to choose two prices amongst the value above which have a difference of 20.. 5) so our ansewr is either 40 and 60 or 60 and 80.. 6) if its 40 and 60 .. he earlier purchased 240/60=4 and now can purchase 240/40=6.. the difference is 2, but as per Q its 1.. 2) if its 80 and 60 .. he earlier purchased 240/80=3 and now can purchase 240/60=4.. the difference is 1.. this is our answerThis was to explain the procedure .. but a straight requirement to find the CORRECT answer is.. two pair of factors of 240 equalling 240, with change in one of them by 20 leading to lowering the other factot by 1.. 240 =80*3 240=60*4.. so this is the answer he would do 3..
_________________
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



Manager
Joined: 12 Jan 2015
Posts: 198

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
05 Mar 2016, 06:22
Bunuel wrote: PraPon wrote: A shoe cobbler charges n dollars to repair a single pair of loafers. Tomorrow, he intends to earn 240 dollars repairing loafers. If he were to reduce his fee per pair by 20 dollars, he would have to repair an additional pair of the loafers to ear the same amount of revenue. How many pair of loafers does he intend to repair tomorrow?
Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
See if you can solve it without using algebraic calculations. Explain your shortest method. 240/n=240/(n20)1 > n=80 > 240/n=240/80=3. Answer: C. P.S. Please provide OA's for the questions and tag them correctly. Hi Experts / Bunuel / chetan2u, First, the approach discussed 240/n=240/(n20)1 If I solve this equation I am getting equation as n^2 20n = 4800Don't know how to solve further... Second, I did this question by creating 2 equations N= Price of repair X= No of shoes to be repaired ==> N*X= 240 and (N20) (X+1) = 240 X= 4 or 3 4 not possible So it should be 3. Question asks How many pair of loafers does he intend to repair tomorrow?it should be 3+1 = 4 eg> 80*3= 240 (8020) * ( 3+1) = 240 so tomorrow he is intended to repair 4 pair of loafers But, the ans is 3... Please help....I am totally stucked What I am doing wrong....
_________________
Thanks and Regards, Prakhar



Director
Joined: 26 Oct 2016
Posts: 636
Location: United States
Concentration: Marketing, International Business
GPA: 4
WE: Education (Education)

A shoe Cobbler charges n dollars
[#permalink]
Show Tags
20 Feb 2017, 09:36
The problem seems relatively straightforward, until we try solving it algebraically. Let's assign x to represent the number of pair of loafers he intends to repair tomorrow. Using the equation for revenue: nx = 240 Furthermore, reducing his fee by $20 would result in the need to repair an additional pair of shoes for the same amount of revenue: (n –20)(x + 1) = 240 Even though the problem is relatively simple to understand, the algebra gets complicated very quickly. Let's switch to a different approach—testing the answer choices: We're done! Only answer choice C results in the correct amount of revenue. In fact, with practice, you wouldn't have to fill out the whole table.
Attachments
cobbler.PNG [ 81.03 KiB  Viewed 929 times ]
_________________
Thanks & Regards, Anaira Mitch



NonHuman User
Joined: 09 Sep 2013
Posts: 9461

Re: A shoe Cobbler charges n dollars
[#permalink]
Show Tags
18 Apr 2018, 07:44
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: A shoe Cobbler charges n dollars &nbs
[#permalink]
18 Apr 2018, 07:44






