Author 
Message 
TAGS:

Hide Tags

Board of Directors
Joined: 01 Sep 2010
Posts: 3442

When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
23 Jul 2017, 11:03
Question Stats:
86% (01:43) correct 14% (02:06) wrong based on 297 sessions
HideShow timer Statistics
When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ? A. 18 B. 24 C. 30 D. 36 E. 48
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
COLLECTION OF QUESTIONS AND RESOURCES Quant: 1. ALL GMATPrep questions Quant/Verbal 2. Bunuel Signature Collection  The Next Generation 3. Bunuel Signature Collection ALLINONE WITH SOLUTIONS 4. Veritas Prep Blog PDF Version 5. MGMAT Study Hall Thursdays with Ron Quant Videos Verbal:1. Verbal question bank and directories by Carcass 2. MGMAT Study Hall Thursdays with Ron Verbal Videos 3. Critical Reasoning_Oldy but goldy question banks 4. Sentence Correction_Oldy but goldy question banks 5. Readingcomprehension_Oldy but goldy question banks



SC Moderator
Joined: 22 May 2016
Posts: 1835

When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
23 Jul 2017, 14:31
carcass wrote: When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?
A. 18
B. 24
C. 30
D. 36
E. 48 Assume the magazine costs $1 per month. For 27 months, the total value is $27 The total value of the discount, of what we are saving by not having to pay it, is 75% of $1, or .75 If m is the number of months it takes for the value of what we are saving to equal $27, then .75m = 27 \(\frac{3}{4}\)m = 27 m = 36 Answer D
_________________
In the depths of winter, I finally learned that within me there lay an invincible summer.  Albert Camus, "Return to Tipasa"



Manager
Joined: 24 Nov 2016
Posts: 148

When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
Updated on: 23 Jul 2017, 17:28
carcass wrote: When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?
A. 18
B. 24
C. 30
D. 36
E. 48 I. m = number of months new subscription, r = regular price, d = discount price given = 0.75r;II. "27 months @ $r" is equivalent to, "m months @ $d"; III. 27r = md, 27r = m (0.75r), m = 27r/0.75r, m = (27r)*4/3r = 9*4 = 36;
Originally posted by exc4libur on 23 Jul 2017, 17:01.
Last edited by exc4libur on 23 Jul 2017, 17:28, edited 1 time in total.



SC Moderator
Joined: 22 May 2016
Posts: 1835

When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
23 Jul 2017, 17:12
exc4libur wrote: carcass wrote: When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?
A. 18
B. 24
C. 30
D. 36
E. 48 I. m = number of months new subscription, r = regular price, d = discounted price = 0.75r;II. 27 months @ $r = m months @ $d; III. 27r = md, 27r = m (0.75r), m = 27r/0.75r, m = (27r)*4/3r = 9*4 = 36; exc4libur , if "the publisher offered a discount of 75 percent off the regular monthly price," doesn't that mean .25r? Am I missing something?
_________________
In the depths of winter, I finally learned that within me there lay an invincible summer.  Albert Camus, "Return to Tipasa"



Manager
Joined: 24 Nov 2016
Posts: 148

Re: When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
23 Jul 2017, 17:25
genxer123 wrote: exc4libur , if "the publisher offered a discount of 75 percent off the regular monthly price," doesn't that mean .25r? Am I missing something? Hi gen You are absolutely right, I'm going to edit the post. Spot on, ty



Math Expert
Joined: 02 Sep 2009
Posts: 47182

When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
24 Jul 2017, 00:53



Intern
Joined: 20 Sep 2016
Posts: 25

Re: When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
24 Jul 2017, 20:39
let x be the actual price of the magazine; m is the number of discounted months
(0.75x) m = x*27 m=36



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2973
Location: United States (CA)

Re: When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
26 Jul 2017, 16:34
carcass wrote: When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?
A. 18
B. 24
C. 30
D. 36
E. 48 We can let the regular price per month = r. Thus, the price for 27 months is 27r. When purchased for m months, the regular price = rm and the total value of the discount was (0.75r)m = (¾)rm. Thus: 27r = (¾)rm 27 = (¾)m 108 = 3m 36 = m Answer: D
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Manager
Joined: 11 Feb 2017
Posts: 200

Re: When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
03 Aug 2017, 07:32
Bunuel wrote: carcass wrote: When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?
A. 18
B. 24
C. 30
D. 36
E. 48 Say the regular monthly price is $p. The total value of the discount for m moths \(= \frac{3}{4}*p*m\). The regular monthly price for 27 months \(= 27p\). Equate: \(\frac{3}{4}*p*m = 27p\); \(m = 36\). Answer: D. Buddy just need one help In stem its given = the total value of the discount Why is 3/4 *x*m is The total value of discount? 1/4*x*m should not be called as the total value of discount as THIS IS THE AMOUNT WHICH GOT LESS? SHOULDN'T WE CALL 3/4 *x*m be THE TOTAL VALUE AFTER THE DISCOUNT??? just due the language I thought the equation will be 1/4 *x* m = 27 * m PLEASE HELP bro



Manager
Joined: 07 Jun 2017
Posts: 103

Re: When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
07 Aug 2017, 23:17
rocko911 wrote: Bunuel wrote: carcass wrote: When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?
A. 18
B. 24
C. 30
D. 36
E. 48 Say the regular monthly price is $p. The total value of the discount for m moths \(= \frac{3}{4}*p*m\). The regular monthly price for 27 months \(= 27p\). Equate: \(\frac{3}{4}*p*m = 27p\); \(m = 36\). Answer: D. Buddy just need one help In stem its given = the total value of the discount Why is 3/4 *x*m is The total value of discount? 1/4*x*m should not be called as the total value of discount as THIS IS THE AMOUNT WHICH GOT LESS? SHOULDN'T WE CALL 3/4 *x*m be THE TOTAL VALUE AFTER THE DISCOUNT??? just due the language I thought the equation will be 1/4 *x* m = 27 * m PLEASE HELP bro I was confused about the same thing. 75% off seems like 1/4



Math Expert
Joined: 02 Sep 2009
Posts: 47182

Re: When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
08 Aug 2017, 00:43
rocko911 wrote: Bunuel wrote: carcass wrote: When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?
A. 18
B. 24
C. 30
D. 36
E. 48 Say the regular monthly price is $p. The total value of the discount for m moths \(= \frac{3}{4}*p*m\). The regular monthly price for 27 months \(= 27p\). Equate: \(\frac{3}{4}*p*m = 27p\); \(m = 36\). Answer: D. Buddy just need one help In stem its given = the total value of the discount Why is 3/4 *x*m is The total value of discount? 1/4*x*m should not be called as the total value of discount as THIS IS THE AMOUNT WHICH GOT LESS? SHOULDN'T WE CALL 3/4 *x*m be THE TOTAL VALUE AFTER THE DISCOUNT??? just due the language I thought the equation will be 1/4 *x* m = 27 * m PLEASE HELP bro The total value of the discount is the amount by which the price was reduced. the amount which was saved due to the discount. For example, if something costs $100 and you get a discount of 75%, you buy at $25 and save $75. So, 75 percent off the total value of the discount is $75. Hope it's clear.
_________________
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: 21 Jun 2017
Posts: 78

Re: When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
10 Sep 2017, 02:18
carcass wrote: When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?
A. 18
B. 24
C. 30
D. 36
E. 48 regular price = p discount price = 75p x 1/100 1/100(75p) x m = 27p 27p/75p = 27p x 1/75p 1/100 x m = .36 m = 36 Answer D



Intern
Joined: 04 Aug 2016
Posts: 4
GMAT 1: 610 Q39 V35 GMAT 2: 710 Q45 V41

When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
09 Oct 2017, 06:59
Hi I too am confused about the wording.
The question says "the publisher offered a discount of 75 percent off the regular monthly price"  to me this seems to be short hand for "the publisher offered a 75% discount off of the regular monthly price." The discounted price is thus 0.25 x regular price, or 0.75 off of the regular price.
My confusion stems from the word 'off' (or in other words 'off of') vs 'of'
Is this correct??



SC Moderator
Joined: 22 May 2016
Posts: 1835

When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
09 Oct 2017, 16:01
srchen wrote: Hi I too am confused about the wording.
The question says "the publisher offered a discount of 75 percent off the regular monthly price"  to me this seems to be short hand for "the publisher offered a 75% discount off of the regular monthly price." The discounted price is thus 0.25 x regular price, or 0.75 off of the regular price.
My confusion stems from the word 'off' (or in other words 'off of') vs 'of'
Is this correct?? srchen and pclawong : yes, "75 percent off" is equivalent to "75 percent off of," and both mean you pay 25 percent of the regular price. Or: 75 percent off means you pay 1/4. (You "take off" 3/4.) So you're right. The value is what I do not have to pay, the amount or percent I save, by getting the discount. And that is 75 percent "off" regular price, or 75 percent "off of" regular price. Hope it helps.
_________________
In the depths of winter, I finally learned that within me there lay an invincible summer.  Albert Camus, "Return to Tipasa"



Director
Joined: 09 Mar 2016
Posts: 662

Re: When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
28 Feb 2018, 09:07
ScottTargetTestPrep wrote: carcass wrote: When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?
A. 18
B. 24
C. 30
D. 36
E. 48 We can let the regular price per month = r. Thus, the price for 27 months is 27r. When purchased for m months, the regular price = rm and the total value of the discount was (0.75r)m = (¾)rm. Thus: 27r = (¾)rm 27 = (¾)m 108 = 3m 36 = m Answer: D[/quote hello ScottTargetTestPrep27r = (¾)rm 27 = (¾)m i wonder how did you remove "r" from here, three variabes confused me, (i was like how can i solve it if there are three variables )108 = 3m 36 = m



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2973
Location: United States (CA)

Re: When a subscription to a new magazine was purchased for m months, the
[#permalink]
Show Tags
01 Mar 2018, 18:48
dave13 wrote: ScottTargetTestPrep wrote: carcass wrote: When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?
A. 18
B. 24
C. 30
D. 36
E. 48 We can let the regular price per month = r. Thus, the price for 27 months is 27r. When purchased for m months, the regular price = rm and the total value of the discount was (0.75r)m = (¾)rm. Thus: 27r = (¾)rm 27 = (¾)m 108 = 3m 36 = m Answer: D[/quote hello ScottTargetTestPrep27r = (¾)rm 27 = (¾)m i wonder how did you remove "r" from here, three variabes confused me, (i was like how can i solve it if there are three variables )108 = 3m 36 = m Hi dave13, I divided both sides of the equation by r and thus canceled the r variable.
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions




Re: When a subscription to a new magazine was purchased for m months, the &nbs
[#permalink]
01 Mar 2018, 18:48






