January 20, 2019 January 20, 2019 07:00 AM PST 07:00 AM PST Get personalized insights on how to achieve your Target Quant Score. January 21, 2019 January 21, 2019 10:00 PM PST 11:00 PM PST Mark your calendars  All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 07 Dec 2012
Posts: 2

If the original price of an item in a retail store is marked
[#permalink]
Show Tags
Updated on: 26 Nov 2013, 06:12
Question Stats:
36% (02:51) correct 64% (02:29) wrong based on 454 sessions
HideShow timer Statistics
If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price? (1) m > d (2) m = 1.5d
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by singhmaharaj on 26 Nov 2013, 06:10.
Last edited by Bunuel on 26 Nov 2013, 06:12, edited 1 time in total.




Math Expert
Joined: 02 Sep 2009
Posts: 52296

Re: If the original price of an item in a retail store is marked
[#permalink]
Show Tags
26 Nov 2013, 06:41
If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price?Say the original price is 100. The price after the mark up = \(100(1+\frac{m}{100}) = 100 + m\); The price after the discount = \((100+m)(1\frac{d}{100}) = 100d+m\frac{md}{100}\); The questions asks: is \(100d+m\frac{md}{100}>100\)? > is \(100m100dmd>0\) (1) m > d. If \(m=3\) and \(d=2\), then the answer is YES nut if but if \(m=60\) and \(d=40\), then the answer is NO. Not sufficient. (2) m = 1.5d. Use the same numbers as above. Not sufficient. (1)+(2) Use the same numbers. Not sufficient. Answer: E. 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




Math Expert
Joined: 02 Sep 2009
Posts: 52296

Re: If the original price of an item in a retail store is marked
[#permalink]
Show Tags
26 Nov 2013, 06:59



Manager
Joined: 21 Aug 2013
Posts: 78

Re: If the original price of an item in a retail store is marked
[#permalink]
Show Tags
12 Apr 2014, 10:17
Bunuel wrote: If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price?
Say the original price is 100. The price after the mark up = \(100(1+\frac{m}{100}) = 100 + m\); The price after the discount = \((100+m)(1\frac{d}{100}) = 100d+m\frac{md}{100}\);
The questions asks: is \(100d+m\frac{md}{100}>100\)? > is \(100m100dmd>0\)
(1) m > d. If \(m=3\) and \(d=2\), then the answer is YES nut if but if \(m=60\) and \(d=40\), then the answer is NO. Not sufficient.
(2) m = 1.5d. Use the same numbers as above. Not sufficient.
(1)+(2) Use the same numbers. Not sufficient.
Answer: E.
Hope it's clear. Hi Bunuel, Just to confirm, the formula for 3 variables. For 3 items +m , +d, x then will it be ... = 100+m+dx (mdx/100)
_________________
Veritas Prep  650 MGMAT 1 590 MGMAT 2 640 (V48/Q31)
Please help the community by giving Kudos.



Intern
Joined: 10 Apr 2014
Posts: 33

Re: If the original price of an item in a retail store is marked
[#permalink]
Show Tags
12 Apr 2014, 11:53
seabhi wrote: Bunuel wrote: If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price?
Say the original price is 100. The price after the mark up = \(100(1+\frac{m}{100}) = 100 + m\); The price after the discount = \((100+m)(1\frac{d}{100}) = 100d+m\frac{md}{100}\);
The questions asks: is \(100d+m\frac{md}{100}>100\)? > is \(100m100dmd>0\)
(1) m > d. If \(m=3\) and \(d=2\), then the answer is YES nut if but if \(m=60\) and \(d=40\), then the answer is NO. Not sufficient.
(2) m = 1.5d. Use the same numbers as above. Not sufficient.
(1)+(2) Use the same numbers. Not sufficient.
Answer: E.
Hope it's clear. Hi Bunuel, Just to confirm, the formula for 3 variables. For 3 items +m , +d, x then will it be ... = 100+m+dx (mdx/100) Hello  If you mean (100+m)(1+d/100)(1x/100), then obviously it is not equal to 100+m+dx  mdx/100 Letme know if you meant something else.  Kudos if the post helped



Manager
Joined: 14 Jul 2014
Posts: 92

Re: If the original price of an item in a retail store is marked
[#permalink]
Show Tags
18 Jan 2015, 23:20
Bunuel wrote: If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price?
Say the original price is 100. The price after the mark up = \(100(1+\frac{m}{100}) = 100 + m\); The price after the discount = \((100+m)(1\frac{d}{100}) = 100d+m\frac{md}{100}\);
The questions asks: is \(100d+m\frac{md}{100}>100\)? > is \(100m100dmd>0\)
(1) m > d. If \(m=3\) and \(d=2\), then the answer is YES nut if but if \(m=60\) and \(d=40\), then the answer is NO. Not sufficient.
(2) m = 1.5d. Use the same numbers as above. Not sufficient.
(1)+(2) Use the same numbers. Not sufficient.
Answer: E.
Hope it's clear. Hi Bunuel What suppose if the Question does not mention that m & d are integers. In such a case m & d can even be decimals. Still the answer would be E correct? Thanks



Math Expert
Joined: 02 Sep 2009
Posts: 52296

Re: If the original price of an item in a retail store is marked
[#permalink]
Show Tags
19 Jan 2015, 00:52
buddyisraelgmat wrote: Bunuel wrote: If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price?
Say the original price is 100. The price after the mark up = \(100(1+\frac{m}{100}) = 100 + m\); The price after the discount = \((100+m)(1\frac{d}{100}) = 100d+m\frac{md}{100}\);
The questions asks: is \(100d+m\frac{md}{100}>100\)? > is \(100m100dmd>0\)
(1) m > d. If \(m=3\) and \(d=2\), then the answer is YES nut if but if \(m=60\) and \(d=40\), then the answer is NO. Not sufficient.
(2) m = 1.5d. Use the same numbers as above. Not sufficient.
(1)+(2) Use the same numbers. Not sufficient.
Answer: E.
Hope it's clear. Hi Bunuel What suppose if the Question does not mention that m & d are integers. In such a case m & d can even be decimals. Still the answer would be E correct? Thanks Yes, the answer would still be E.
_________________
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



VP
Joined: 05 Mar 2015
Posts: 1003

Re: If the original price of an item in a retail store is marked
[#permalink]
Show Tags
10 Jun 2016, 09:55
singhmaharaj wrote: If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price?
(1) m > d
(2) m = 1.5d
My answer B Both the given options were same in which it states that m>d Final markup/discount is given as mdmd/100 consider any small number m=2,d=1 then ans will be yes. consider bigger values m=700,d=600 Ans will be No both statements not suff.... Ans E



Intern
Joined: 14 Nov 2017
Posts: 4

Re: If the original price of an item in a retail store is marked
[#permalink]
Show Tags
20 Mar 2018, 12:17
The last thing you want to do is solve for a proof in the actual exam. Think about it in as simple terms as possible. In this case think that the markup can be as high as it wants it to be, but the end price is going to be determined by the discount. For example, lets say the markup of 100 is 150%, the price will now be 250. The discount (d=m/1.5) is now 100% and the price now becomes 0. With small numbers the discount is not as powerful so the total price is higher than 100. Statement 1 is irrelevant since it says the same thing that statement 2 says, thus option E is correct.




Re: If the original price of an item in a retail store is marked &nbs
[#permalink]
20 Mar 2018, 12:17






