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If Mel saved more than $10 by purchasing a sweater at a 15 p
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03 Feb 2014, 01:19
Question Stats:
81% (01:23) correct 19% (01:39) wrong based on 1040 sessions
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The Official Guide For GMAT® Quantitative Review, 2ND EditionIf Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? (A) 45 (B) 67 (C) 75 (D) 83 (E) 150 Problem Solving Question: 73 Category: Arithmetic; Algebra Percents; Inequalities; Applied problems Page: 71 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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03 Feb 2014, 01:20
SOLUTIONIf Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar?(A) 45 (B) 67 (C) 75 (D) 83 (E) 150 We are told that 15 percent discount from the original price is more than $10: 0.15*{price} > 10; {price} > 1,000/15; {price} > 66 2/3. Answer: B.
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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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03 Feb 2014, 03:38
If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? (A) 45 (B) 67 (C) 75 (D) 83 (E) 150 Let the smallest amount the original price of sweater be X So if we have 0.15*X>10 X> 10/0.15> 2/3*100= 66 Hence X is greater than 66. Smallest possible value will be 67. Ans B Difficulty level around 650 okay
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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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03 Feb 2014, 05:16
If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? (A) 45 (B) 67 (C) 75 (D) 83 (E) 150 0.85X < X10 10<0.15X X>66.66 B.
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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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03 Feb 2014, 11:28
Ans B
15/100 of x > 10
x>66.67 rounded off to 67.



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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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03 Feb 2014, 14:10
15% of X = 10. X = 1000/15 = 66.67% ~ 67%, (B).



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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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04 Feb 2014, 02:11
As a starting point, we can assume 15% of x = 10, where x is the price of sweater; Simplifying, we get x ~ 66.67.
Since Mel received a discount of more than 10%, the lowest price should at least be 66.67$ = 67$
Ans is B.



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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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06 Jun 2014, 02:42
if 15 % are 10$ > 1% is 10/15 THAN 100% > 100*(10/15) = 66,7
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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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22 Apr 2016, 10:51
I am seeing most of the solutions here were done with algebra. However, do you think it is just as efficient to think conceptually. Or did I happen to get lucky?
10% of 67 is 6.7
half of 6.7 is 3.35.
6.7+3.35 is 10.05.
is this an ok approach ?



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If Mel saved more than $10 by purchasing a sweater at a 15 p
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22 Apr 2016, 12:40
ross14 wrote: I am seeing most of the solutions here were done with algebra. However, do you think it is just as efficient to think conceptually. Or did I happen to get lucky?
10% of 67 is 6.7
half of 6.7 is 3.35.
6.7+3.35 is 10.05.
is this an ok approach ? Absolutely Ok , no issues with your approach!! Infact QA questions can be solved by multiple approaches and it is good for test takers to explore alternate approaches and adopt the one with which they are confident to answer the question correctly. The main aim for any approach for tackling GMAT Question will be  1. Accuracy 2. Minimum Time Whichever approach you adopt doesn't matter. For the particular question IMHO Bunuels approach is the quickest and the best ( without unnecessarily involving in the complexity of handling decimal numbers) Undoubtedly U have a very good approach as well and this strategy really work well.. Keep practicing and finding out the strategy for tackling a particular problem with minimum time, the one that suits you  adopt it..
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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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22 Apr 2016, 13:56
I think easiest approach is looking at the answers. By estimation, only b works. The others don't make sense. 20 seconds.



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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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26 May 2018, 21:06
Hi Abhishek009 Bunuel niks18 gmatbusters Quote: If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? Can you advise what should be the change in above Q for below step? 0.85*{price} > 10; Shall it be: If Mel saved more than $10 by purchasing a sweater to a 15 percent discount,
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If Mel saved more than $10 by purchasing a sweater at a 15 p
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26 May 2018, 22:04
adkikani wrote: Hi Abhishek009 Bunuel niks18 gmatbusters Quote: If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? Can you advise what should be the change in above Q for below step? 0.85*{price} > 10; Shall it be: If Mel saved more than $10 by purchasing a sweater to a 15 percent discount, Hi adkikanithe original question is about saving MORE than $10 through a discount of 15%. Discount will lead to saving, hence the original inequality will be 0.15*Price>10 Now coming to your question, what you have done here 0.85*Price>10 is that $10 saving is 85% more than the original price. Hence the question COULD be reworded as  "If Mel saved more than $10 by purchasing a sweater at 15 percent of its original price, what is the smallest amount the original price of the sweater could be, to the nearest dollar?"



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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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29 Sep 2018, 10:07
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIf Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? (A) 45 (B) 67 (C) 75 (D) 83 (E) 150 Problem Solving Question: 73 Category: Arithmetic; Algebra Percents; Inequalities; Applied problems Page: 71 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! The straightforward approach is to realize that we saved more than 10 dollars and the discount is 15% We look at the options. A) 45 and 10% equals 4.5 and 5% would be half of 4.5 so 2.25 + 4.5 = 6.75 less than 10 now B) 67,, 10% equals 6.7 and 5% equals 3.35 so 6.7 + 3.35 = 10.05 >10 and the smallest amount. Answer choice B.



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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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01 Oct 2018, 06:26
85/100 *x =x +10
66.6 ...67 ANS. Is this approach correct ?



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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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24 Oct 2018, 14:00
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIf Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? (A) 45 (B) 67 (C) 75 (D) 83 (E) 150 Problem Solving Question: 73 Category: Arithmetic; Algebra Percents; Inequalities; Applied problems Page: 71 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! 60 * 01.5 = 9
70 * 0.15 = 10.5
60............67..............70
Thus the best answer is B.



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Re: If Mel saved more than $10 by purchasing a sweater at a 15 percent
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14 Nov 2018, 11:48
militarytocorp wrote: If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar?
A. 45 B. 67 C. 75 D. 83 E. 150 Let's calculate what happens if she saves exactly $10. Marked Price * (15/100) = 10 Marked Price = 200/3 = 66.67 The marked price must be greater than 66.67 since she saved more than $10. So the minimum amount of marked price = $67 Answer (B)
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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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07 Jun 2019, 23:16
I have a question, I solved it by taking every value in the answer choice and multiplying it by 0.85 to see the difference. For example,
75 75*0.85> 10.
So the answer came to C as it has savings more than 10. B had savings equal to 10. Can someone explain me how to do it this way. Have I done it correct? But the answer I got is wrong...
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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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08 Jun 2019, 02:00
Shef08 wrote: I have a question, I solved it by taking every value in the answer choice and multiplying it by 0.85 to see the difference. For example,
75 75*0.85> 10.
So the answer came to C as it has savings more than 10. B had savings equal to 10. Can someone explain me how to do it this way. Have I done it correct? But the answer I got is wrong...
Posted from my mobile device 67  67*0.85 = 10.05 > 10, so the smallest amount the original price of the sweater could be, to the nearest dollar is $67.
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Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
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08 Jun 2019, 02:17
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIf Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? (A) 45 (B) 67 (C) 75 (D) 83 (E) 150 Problem Solving Question: 73 Category: Arithmetic; Algebra Percents; Inequalities; Applied problems Page: 71 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! 10 < x  85x/100 1000/15 < x 66.66 < x So, Answer ~ 67
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