GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Oct 2018, 06:16

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

If the original price of an item in a retail store is marked

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
Joined: 07 Dec 2012
Posts: 2
If the original price of an item in a retail store is marked  [#permalink]

Show Tags

New post Updated on: 26 Nov 2013, 07:12
2
19
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

37% (02:49) correct 63% (02:29) wrong based on 439 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

Originally posted by singhmaharaj on 26 Nov 2013, 07:10.
Last edited by Bunuel on 26 Nov 2013, 07:12, edited 1 time in total.
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50039
Re: If the original price of an item in a retail store is marked  [#permalink]

Show Tags

New post 26 Nov 2013, 07:41
9
6
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 = \((100+m)(1-\frac{d}{100}) = 100-d+m-\frac{md}{100}\);

The questions asks: is \(100-d+m-\frac{md}{100}>100\)? --> is \(100m-100d-md>0\)

(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?
Extra-hard Quant Tests with Brilliant Analytics

General Discussion
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50039
Re: If the original price of an item in a retail store is marked  [#permalink]

Show Tags

New post 26 Nov 2013, 07:59
5
1
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 = \((100+m)(1-\frac{d}{100}) = 100-d+m-\frac{md}{100}\);

The questions asks: is \(100-d+m-\frac{md}{100}>100\)? --> is \(100m-100d-md>0\)

(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.


Similar topics to practice:
between-1980-and-1985-pierre-s-investment-portfolio-increas-145738.html
if-the-price-increased-by-x-from-2001-to-2002-and-by-y-fro-89337.html
the-price-per-share-of-stock-x-increased-by-10-percent-over-144333.html
the-price-per-share-of-stock-x-increased-by-10-percent-over-99969.html
a-pair-of-skis-originally-cost-160-after-discount-of-x-149918.html

Hope this helps.
_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
Joined: 22 Aug 2013
Posts: 80
Schools: ISB '15
Re: If the original price of an item in a retail store is marked  [#permalink]

Show Tags

New post 12 Apr 2014, 11:17
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 = \((100+m)(1-\frac{d}{100}) = 100-d+m-\frac{md}{100}\);

The questions asks: is \(100-d+m-\frac{md}{100}>100\)? --> is \(100m-100d-md>0\)

(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+d-x -(mdx/100)
_________________

Veritas Prep - 650
MGMAT 1 590
MGMAT 2 640 (V48/Q31)

Please help the community by giving Kudos.

Intern
Intern
avatar
Joined: 10 Apr 2014
Posts: 33
Re: If the original price of an item in a retail store is marked  [#permalink]

Show Tags

New post 12 Apr 2014, 12:53
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 = \((100+m)(1-\frac{d}{100}) = 100-d+m-\frac{md}{100}\);

The questions asks: is \(100-d+m-\frac{md}{100}>100\)? --> is \(100m-100d-md>0\)

(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+d-x -(mdx/100)


Hello -
If you mean (100+m)(1+d/100)(1-x/100), then obviously it is not equal to 100+m+d-x - mdx/100

Letme know if you meant something else.
---------------------------
Kudos if the post helped
Manager
Manager
avatar
Joined: 14 Jul 2014
Posts: 93
Re: If the original price of an item in a retail store is marked  [#permalink]

Show Tags

New post 19 Jan 2015, 00:20
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 = \((100+m)(1-\frac{d}{100}) = 100-d+m-\frac{md}{100}\);

The questions asks: is \(100-d+m-\frac{md}{100}>100\)? --> is \(100m-100d-md>0\)

(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
User avatar
V
Joined: 02 Sep 2009
Posts: 50039
Re: If the original price of an item in a retail store is marked  [#permalink]

Show Tags

New post 19 Jan 2015, 01:52
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 = \((100+m)(1-\frac{d}{100}) = 100-d+m-\frac{md}{100}\);

The questions asks: is \(100-d+m-\frac{md}{100}>100\)? --> is \(100m-100d-md>0\)

(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?
Extra-hard Quant Tests with Brilliant Analytics

VP
VP
User avatar
P
Joined: 05 Mar 2015
Posts: 1000
Re: If the original price of an item in a retail store is marked  [#permalink]

Show Tags

New post 10 Jun 2016, 10:55
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 m-d-md/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
Intern
avatar
B
Joined: 14 Nov 2017
Posts: 4
Re: If the original price of an item in a retail store is marked  [#permalink]

Show Tags

New post 20 Mar 2018, 13:17
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.
GMAT Club Bot
Re: If the original price of an item in a retail store is marked &nbs [#permalink] 20 Mar 2018, 13:17
Display posts from previous: Sort by

If the original price of an item in a retail store is marked

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.