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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## George bought a large electronic item with a 15% off coupon tagged by: swerve ##### This topic has 3 expert replies and 0 member replies ### Top Member ## George bought a large electronic item with a 15% off coupon ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult 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. 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 The OA is D Source: Magoosh ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12985 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 swerve 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 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 The OA is D Source: Magoosh 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 â‰ˆ$40
So, 15% of the original cost â‰ˆ $80 So, 45% of the original cost â‰ˆ$240
So, 90% of the original cost â‰ˆ $480 This means 100% of the original cost (aka the ORIGINAL COST must be a little more than$480

Cheers,
Brent

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### GMAT/MBA Expert

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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: D GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2801 messages Followed by: 18 members Upvotes: 43 swerve 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 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 The OA is D Source: Magoosh We can let the original price of the item = x dollars. After 15% off and had the sale been done correctly, George should have paid 0.85x dollars. However, because of the mistake, he received 30% off, so he actually paid 0.7x dollars. Therefore, the difference is 0.85x - 0.7x = 0.15x dollars, which he should pay back to the store. However, since the manager allowed him to pay half the difference, which amounts to$40.50, we can create the equation

Â½(0.15x) = 40.5

0.15x = 81

x = 81/0.15 = 540

Alternate Solution:

The $40.50 payment that George paid back to the store represents half of the 15% discount, which is 7.5%. Thus, if we let x = the original price of the item, we can create the following equation: 0.075x = 40.5 75x = 40,500 x = 540 Answer: D _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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