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

It is currently 20 May 2019, 17:41

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

George bought a large electronic item

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

Hide Tags

 
Senior Manager
Senior Manager
User avatar
P
Joined: 29 Jun 2017
Posts: 454
GPA: 4
WE: Engineering (Transportation)
GMAT ToolKit User Reviews Badge
George bought a large electronic item  [#permalink]

Show Tags

New post 06 Feb 2018, 09:21
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

75% (02:34) correct 25% (02:59) wrong based on 51 sessions

HideShow timer Statistics

George bought a large electronic item with a 15% off coupon, and paid a total bill. When he got outside, he studied the receipt and realize that he mistakenly had been given double the discount of the coupon, even though there was no double-coupon offer in effect that day. He went back inside and pointed this mistake out to the manager, offering to make the the difference between what he paid and what he should have paid. The manager was so grateful for George's honesty that he allowed George to pay just half that difference, so George paid him $40.50. What was the original price of the item, before any coupons? Assume that there was no tax at all in this scenario.


A) $135
B) $270
C) $405
D) $540
E) $810

_________________
Give Kudos for correct answer and/or if you like the solution.
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2742
George bought a large electronic item  [#permalink]

Show Tags

New post 06 Feb 2018, 10:39
sahilvijay wrote:
George bought a large electronic item with a 15% off coupon, and paid a total bill. When he got outside, he studied the receipt and realize that he mistakenly had been given double the discount of the coupon, even though there was no double-coupon offer in effect that day. He went back inside and pointed this mistake out to the manager, offering to make the the difference between what he paid and what he should have paid. The manager was so grateful for George's honesty that he allowed George to pay just half that difference, so George paid him $40.50. What was the original price of the item, before any coupons? Assume that there was no tax at all in this scenario.


A) $135
B) $270
C) $405
D) $540
E) $810


Focus on savings (rightful and mistaken) from the discount

DID save/ SHOULD HAVE saved

\(x\) = original price
Original discount is 15% off
He SHOULD save \(.15x\)
Mistaken doubled discount is 30% off
He DID save \(.30x\)

Difference between mistaken and rightful savings
The difference between what he should have saved and what he did save:
\((.30x - .15x) = .15x\)

Half that difference is paid back
George paid back half of that amount:

\(\frac{.15x}{2} = .075x\)
So \(.075x\) is half the difference of mistaken savings vs rightful savings
Half of the difference of mistaken savings vs. rightful savings also = \($40.50\)

TOTAL AMOUNT? From above:
\(.075x = $40.50\)
\(x = \frac{$40.50}{.075} = \frac{$40,500}{75} = $540\)

ANSWER D
_________________
Listen, are you breathing just a little, and calling it a life?
-- Mary Oliver

For practice SC questions go to SC Butler, here.


Please DO NOT write short answers in your verbal posts! Such answers will be deleted.
CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3717
Location: Canada
Re: George bought a large electronic item  [#permalink]

Show Tags

New post 27 Aug 2018, 10:54
Top Contributor
sahilvijay wrote:
George bought a large electronic item with a 15% off coupon, and paid a total bill. When he got outside, he studied the receipt and realize that he mistakenly had been given double the discount of the coupon, even though there was no double-coupon offer in effect that day. He went back inside and pointed this mistake out to the manager, offering to make the the difference between what he paid and what he should have paid. The manager was so grateful for George's honesty that he allowed George to pay just half that difference, so George paid him $40.50. What was the original price of the item, before any coupons? Assume that there was no tax at all in this scenario.


A) $135
B) $270
C) $405
D) $540
E) $810


George was SUPPOSED to receive a 15% discount, but he received a 30% discount.
So, he should have returned 15% of the original cost.
However, the manager asked for half that amount (i.e., 7.5% of the original cost)
In other words, 7.5% of the original cost = $40.50

IMPORTANT: at this point, we COULD divide $40.50 by 0.075 to determine the original cost.
HOWEVER, since the answer choices are quite spread apart, we can apply some logic and estimation to answer the question without resorting to long division. Here's what I mean:

7.5% of the original cost ≈ $40
So, 15% of the original cost ≈ $80
So, 45% of the original cost ≈ $240
So, 90% of the original cost ≈ $480

This means 100% of the original cost (aka the ORIGINAL COST :-) must be a little more than $480

Answer: D

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 14174
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: George bought a large electronic item  [#permalink]

Show Tags

New post 19 Feb 2019, 16:31
Hi All,

We're told that George bought a large electronic item with a 15% off coupon and paid a total bill. When he got outside, he studied the receipt and realize that he mistakenly had been given DOUBLE the discount of the coupon, even though there was no double-coupon offer in effect that day. He went back inside and pointed this mistake out to the manager, offering to make the difference between what he paid and what he should have paid. The manager was so grateful for George's honesty that he allowed George to pay just half that difference, so George paid him $40.50. We're asked for the original price of the item, before any coupons? (and we're told to assume that there was no tax at all in this scenario). This question can be solved in a number of different ways, including by TESTing THE ANSWERS.

To start, since the end results of all of these math 'steps' is $40.50, it's likely that we're starting with a nice 'round' number, so the correct answer is probably NOT Answer A or Answer C. Let's TEST Answer D first:

Answer D: $540
IF... the original item cost $540...
then a 15% coupon would have saved George (.15)($540) = $81
and a 30% coupon would have saved George (.3)($540) = $162
The difference in those discounts = $162 - $81 = $81
HALF of that 'extra' discount = $81/2 = $40.50
This is an exact match for what we were told, so this must be the answer!

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
GMAT Club Bot
Re: George bought a large electronic item   [#permalink] 19 Feb 2019, 16:31
Display posts from previous: Sort by

George bought a large electronic item

  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®.