It is currently 20 Sep 2017, 17:03

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

During a sale, the price of a pair of shoes is marked down 10% from

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

Hide Tags

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41640

Kudos [?]: 124200 [1], given: 12075

During a sale, the price of a pair of shoes is marked down 10% from [#permalink]

Show Tags

New post 09 Jun 2016, 03:38
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

79% (00:50) correct 21% (00:56) wrong based on 77 sessions

HideShow timer Statistics

During a sale, the price of a pair of shoes is marked down 10% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?

A. 9%
B. 10%
C. 11%
D. 15%
E. 90%
[Reveal] Spoiler: OA

_________________

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

Kudos [?]: 124200 [1], given: 12075

Expert Post
Optimus Prep Instructor
User avatar
B
Joined: 06 Nov 2014
Posts: 1905

Kudos [?]: 515 [0], given: 23

Re: During a sale, the price of a pair of shoes is marked down 10% from [#permalink]

Show Tags

New post 09 Jun 2016, 04:05
Bunuel wrote:
During a sale, the price of a pair of shoes is marked down 10% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?

A. 9%
B. 10%
C. 11%
D. 15%
E. 90%


Assume the price = 100

Price during sale = 90
Price after sale = 100

Percent increase = 10/90*100 = 11% approx.

Correct Option: C
_________________

Janielle Williams

Customer Support

Special Offer: $80-100/hr. Online Private Tutoring
GMAT On Demand Course $299
Free Online Trial Hour

Kudos [?]: 515 [0], given: 23

Director
Director
User avatar
Joined: 18 Oct 2014
Posts: 908

Kudos [?]: 393 [0], given: 69

Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: During a sale, the price of a pair of shoes is marked down 10% from [#permalink]

Show Tags

New post 09 Jun 2016, 09:55
Bunuel wrote:
During a sale, the price of a pair of shoes is marked down 10% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?

A. 9%
B. 10%
C. 11%
D. 15%
E. 90%


Let the original price = 100

Price after sale = 90, and it reverts to original price

% increase= 10/90 *100 %= 11% (approx)

C is the answer
_________________

I welcome critical analysis of my post!! That will help me reach 700+

Kudos [?]: 393 [0], given: 69

Math Forum Moderator
User avatar
S
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 2991

Kudos [?]: 1049 [0], given: 325

Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: During a sale, the price of a pair of shoes is marked down 10% from [#permalink]

Show Tags

New post 09 Jun 2016, 12:38
Bunuel wrote:
During a sale, the price of a pair of shoes is marked down 10% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?

A. 9%
B. 10%
C. 11%
D. 15%
E. 90%


Attachment:
Capture.PNG
Capture.PNG [ 3.49 KiB | Viewed 848 times ]


Percent of increase = 10/90 * 100 =>11.11%

Hence answer will be (C)

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Kudos [?]: 1049 [0], given: 325

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 17576

Kudos [?]: 270 [0], given: 0

Premium Member
Re: During a sale, the price of a pair of shoes is marked down 10% from [#permalink]

Show Tags

New post 03 Aug 2017, 05:58
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

Kudos [?]: 270 [0], given: 0

Director
Director
avatar
G
Joined: 22 May 2016
Posts: 636

Kudos [?]: 184 [0], given: 497

During a sale, the price of a pair of shoes is marked down 10% from [#permalink]

Show Tags

New post 03 Aug 2017, 10:11
1
This post was
BOOKMARKED
Bunuel wrote:
During a sale, the price of a pair of shoes is marked down 10% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?

A. 9%
B. 10%
C. 11%
D. 15%
E. 90%

The multiplier for percent increase to get back to original (of 100 percent = 1), is the inverse of the multiplier for the original percent decrease. Then subtract 1.

Percent decrease * percent increase = 1

Ten percent decrease = \(\frac{9}{10}\)

Flip the fraction above to determine the percent by which the decreased value must increase to get to original: \(\frac{10}{9}\) = 1.11 - 1 = .11

11%

Example:
Assume shoes cost 10

10% discount is \(\frac{9}{10}\)(10) = new price is 9

What percent increase to get back to 10?

9 * \(\frac{10}{9}\) = 10

\(\frac{10}{9}\) = 1.11, subtract 1 (because it already includes the 9) = 11%

Answer C

Kudos [?]: 184 [0], given: 497

Expert Post
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1414

Kudos [?]: 756 [0], given: 5

Re: During a sale, the price of a pair of shoes is marked down 10% from [#permalink]

Show Tags

New post 09 Aug 2017, 12:44
Bunuel wrote:
During a sale, the price of a pair of shoes is marked down 10% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?

A. 9%
B. 10%
C. 11%
D. 15%
E. 90%


We can let the original price = p and the percentage increase = n. Thus:

(0.9p)(1 + n/100) = p

0.9(100 + n)/100 = 1

90 + 0.9n = 100

0.9n = 10

n = 100/9 ≈ 11

Alternate Solution:

Let’s assume that the original price is 100. During the sale, the price will reduce by 10% to 90, and after the sale, the price will go up from 90 to 100. We need to determine the percent change when the price increases from 90 to 100.

percent change = 100 * (new value - old value)/(old value)

percent change = 100 * (100 - 90)/(90)

percent change = 100 * (10/90)

percent change = 100/9 ≈ 11

Answer: C
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 756 [0], given: 5

Re: During a sale, the price of a pair of shoes is marked down 10% from   [#permalink] 09 Aug 2017, 12:44
    Similar topics Author Replies Last post
Similar
Topics:
2 EXPERTS_POSTS_IN_THIS_TOPIC A dress on sale in a shop is marked at $D. During the discount sale it Bunuel 5 19 May 2016, 09:31
3 EXPERTS_POSTS_IN_THIS_TOPIC Suzie’s Discount Footwear sells all pairs of shoes for one price and Bunuel 4 29 Jul 2016, 00:58
1 EXPERTS_POSTS_IN_THIS_TOPIC At a certain store, the price of a pair of shoes is twenty dollars mor Bunuel 4 17 Apr 2016, 00:43
49 EXPERTS_POSTS_IN_THIS_TOPIC A box contains 10 pairs of shoes (20 shoes in total). If two tejal777 21 15 Jun 2016, 22:52
1 EXPERTS_POSTS_IN_THIS_TOPIC During the first week of September, a shoe retailer sold 10 pairs of a carcass 2 21 May 2017, 04:51
Display posts from previous: Sort by

During a sale, the price of a pair of shoes is marked down 10% from

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


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.