December 20, 2018 December 20, 2018 10:00 PM PST 11:00 PM PST This is the most inexpensive and attractive price in the market. Get the course now! December 22, 2018 December 22, 2018 07:00 AM PST 09:00 AM PST Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.
Author 
Message 
TAGS:

Hide Tags

Manager
Status: Math Tutor
Joined: 12 Aug 2017
Posts: 73
WE: Education (Education)

The original price of an article was reduced by 25%. During a special
[#permalink]
Show Tags
13 Aug 2017, 19:07
Question Stats:
58% (01:32) correct 42% (01:15) wrong based on 159 sessions
HideShow timer Statistics
The original price of an article was reduced by 25%. During a special sale the new price was decreased by 10%. By approximately what percentage would the new price have to be increased in order to restore the price of the article to its original amount? A. 32.5% B. 35% C. 48% D. 65% E. 67.5%
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Abhishek Parikh Math Tutor Whatsapp +919983944321 Mobile +971568653827 Website: http://www.holamaven.com



Intern
Joined: 30 May 2017
Posts: 9

Re: The original price of an article was reduced by 25%. During a special
[#permalink]
Show Tags
13 Aug 2017, 19:18
HolaMaven wrote: The original price of an article was reduced by 25%. During a special sale the new price was decreased by 10%. By approximately what percentage would the new price have to be increased in order to restore the price of the article to its original amount? A. 32.5% B. 35% C. 48% D. 65% E. 67.5% The equation is: (3/4*9/10)*x=1 Where 3/4 = 25% decrease, 9/10 = the 10% decrease, x the increase we want to find to have the original price 100% or 1. = (27/40)*x = 1 Cross multiply x = 40/27 x = 1.481 or 48%. Answer C Enviado de meu SMG935F usando Tapatalk



Intern
Joined: 31 Mar 2017
Posts: 36
GMAT 1: 710 Q45 V42 GMAT 2: 730 Q50 V39 GMAT 3: 740 Q50 V40
GPA: 3.73

Re: The original price of an article was reduced by 25%. During a special
[#permalink]
Show Tags
13 Aug 2017, 19:23
HolaMaven wrote: The original price of an article was reduced by 25%. During a special sale the new price was decreased by 10%. By approximately what percentage would the new price have to be increased in order to restore the price of the article to its original amount? A. 32.5% B. 35% C. 48% D. 65% E. 67.5% Note the question says "approximately". That tells me an exact solution may be difficult to come by without a calculator. Plugging in numbers seems to be the easiest way to solve Let Price = $100 Decrease by 25% = (1.25) * 100 = 75 Decrease by another 10% = (1  .10) * 75 Note this is the same as 75  .1(75) = 75  7.5 (since 10% of 75 = 7.5) = 67.5 To get to the original price, we must calculate (100  67.5) = 32.5 32.5 / 67.5 is the change to the new price Note that 32.5 * 2 = 65. Since 65 is just a little smaller than 67.5, this means that 32.5 is just a little bit less than 1/2 of 67.5 (This is where "Approximation" in the question comes in handy) Looking at the answers, C is the just a little less than 50% Therefore, the answer is C



Manager
Status: Math Tutor
Joined: 12 Aug 2017
Posts: 73
WE: Education (Education)

Re: The original price of an article was reduced by 25%. During a special
[#permalink]
Show Tags
13 Aug 2017, 19:32
Even an easier way is eliminating the options. 25%+10% = 35%, too easy and not an answer (10035)% = 65%, again too easy (10025)% = 75%  10%*75* = 67.5% Not possible as its only decrease (10067.5)%=32.5%, again not possible as this will increase value to 100% but we need to calculate % increase Thus option C  48%
_________________
Abhishek Parikh Math Tutor Whatsapp +919983944321 Mobile +971568653827 Website: http://www.holamaven.com



Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3327
Location: India
GPA: 3.12

Re: The original price of an article was reduced by 25%. During a special
[#permalink]
Show Tags
13 Aug 2017, 20:02
The best method for such questions is to work with numbers. When choosing a number, make sure, that the number is easy to work with! Let the original price of the of the item be 400$, since there is a decrease of 25%, the price goes down to 300$. Again, during the special sale(10% decrease) the price goes down to 270$(less by 30$ or 10%) Since we need to find out by approximately what percentage the price needs to go up, the percentage increase is \(\frac{130}{270}*100 = \frac{1300}{27} = 48.14 = 48\)% approximately(Option C)
_________________
You've got what it takes, but it will take everything you've got



Senior SC Moderator
Joined: 22 May 2016
Posts: 2222

Re: The original price of an article was reduced by 25%. During a special
[#permalink]
Show Tags
14 Aug 2017, 12:27
HolaMaven wrote: The original price of an article was reduced by 25%. During a special sale the new price was decreased by 10%. By approximately what percentage would the new price have to be increased in order to restore the price of the article to its original amount? A. 32.5% B. 35% C. 48% D. 65% E. 67.5% Expanding a bit on pips883 's good answer, because this method is easier for me than picking numbers with percent change  a rare phenomenon. Percentage increase and percentage decrease are inversely proportional. To find percentage by which the changed number must increase or decrease to return to the original 1) Find the fraction for the first change 2) Flip that fraction, and 3) Calculate decimal value. That's the answer. Here the article was reduced in price twice, by 25 percent and then 10 percent of that. First decrease = .75 or \(\frac{3}{4}\), and second decrease, taken with the first, = .90 or \(\frac{9}{10}\) Total decrease: \(\frac{3}{4}\) * \(\frac{9}{10}\) = \(\frac{27}{40}\) Flip that fraction: \(\frac{40}{27}\) \(\frac{40}{27}\) = 1.481, approximately 48% That's the percentage by which the reduced price must increase to return to original. Answer C **Or multiply the multipliers > (.75)(.9) = .625. Change to fraction \(\frac{625}{1000}\) = \(\frac{27}{40}\). Flip and find decimal value.



Intern
Joined: 30 May 2017
Posts: 9

Re: The original price of an article was reduced by 25%. During a special
[#permalink]
Show Tags
14 Aug 2017, 13:37
genxer123 wrote: HolaMaven wrote: The original price of an article was reduced by 25%. During a special sale the new price was decreased by 10%. By approximately what percentage would the new price have to be increased in order to restore the price of the article to its original amount? A. 32.5% B. 35% C. 48% D. 65% E. 67.5% Expanding a bit on pips883's good answer, because this method is easier for me than picking numbers with percent change  a rare phenomenon. Percentage increase and percentage decrease are inversely proportional. To find percentage by which the changed number must increase or decrease to return to the original 1) Find the fraction for the first change 2) Flip that fraction, and 3) Calculate decimal value. That's the answer. Here the article was reduced in price twice, by 25 percent and then 10 percent of that. First decrease = .75 or \(\frac{3}{4}\), and second decrease, taken with the first, = .90 or \(\frac{9}{10}\) Total decrease: \(\frac{3}{4}\) * \(\frac{9}{10}\) = \(\frac{27}{40}\) Flip that fraction: \(\frac{40}{27}\) \(\frac{40}{27}\) = 1.481, approximately 48% That's the percentage by which the reduced price must [youtube]increase[/youtube] to return to original. Answer C **Or multiply the multipliers > (.75)(.9) = .625. Change to fraction \(\frac{625}{1000}\) = \(\frac{27}{40}\). Flip and find decimal value. Completely agree on that. Actually, my first thought when solving this question was "Come on, pick 10 and do the math". Then I realized that would be much easier if I worked with fractions. So, 99.9% times I pick numbers, but sometimes algebra may be the easiest path. By the way, thanks for clarifying my solution. It looks much better now.



Manager
Joined: 06 Jul 2014
Posts: 95
Location: India
Concentration: Finance, Entrepreneurship

Re: The original price of an article was reduced by 25%. During a special
[#permalink]
Show Tags
14 Aug 2017, 13:49
Plugging in numbers should help. 3/4*9/10(1+x/100)=1 Answer C



Director
Joined: 04 Dec 2015
Posts: 734
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)

Re: The original price of an article was reduced by 25%. During a special
[#permalink]
Show Tags
14 Aug 2017, 21:14
HolaMaven wrote: The original price of an article was reduced by 25%. During a special sale the new price was decreased by 10%. By approximately what percentage would the new price have to be increased in order to restore the price of the article to its original amount? A. 32.5% B. 35% C. 48% D. 65% E. 67.5% Let the original price be \(= 100\) Price was reduced by \(25\) % \(= 75\) % of \(100 = \frac{75}{100} * 100 = 75\) During special sale price was further decreased by \(10\) % \(= 90\) % of \(75 = \frac{90}{100} * 75 = 67.5\) Difference of Original price and final price \(= 100  67.5 = 32.5\) Required percent \(=\) (Difference \(/\) Final price )\(*100\) Required percent \(= (\frac{32.5}{67.5}) * 100 = 48.148\) % \(=\) Approximately \(= 48\) %Also half or \(50\) % of \(67.5\) or approximately \(68\) is \(= 34\) Therefore answer should be slightly less than \(50\) %. Percentage required \(= 48\) %Answer (C)...



Manager
Status: Math Tutor
Joined: 12 Aug 2017
Posts: 73
WE: Education (Education)

Re: The original price of an article was reduced by 25%. During a special
[#permalink]
Show Tags
15 Aug 2017, 11:39
Yes plugging is a good approach but before plugging in see if you can eliminate answer choice without really doing any calculation. Practice will make you build require confidence to work faster on eliminating answer choice which can help in rectifying casual errors also. Try to reduce your efforts on easy questions so that you can concentrate better on trickier ones.
_________________
Abhishek Parikh Math Tutor Whatsapp +919983944321 Mobile +971568653827 Website: http://www.holamaven.com



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830

Re: The original price of an article was reduced by 25%. During a special
[#permalink]
Show Tags
18 Aug 2017, 08:08
HolaMaven wrote: The original price of an article was reduced by 25%. During a special sale the new price was decreased by 10%. By approximately what percentage would the new price have to be increased in order to restore the price of the article to its original amount? A. 32.5% B. 35% C. 48% D. 65% E. 67.5% Let’s let the original price of the article be 100. In the first reduction, it was reduced by 25% and thus becomes 75. In the second reduction, it was reduced by 10% and thus becomes (0.9)(75) = 67.5. We note that the price must increase by 32.5 to be restored to the original price, and 32.5 is very close to, but less than, half of 67.5; therefore, the answer must be very close to, but less than, 50%. Scanning the answer choice, 48% fits our criteria. Answer: C
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4286
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: The original price of an article was reduced by 25%. During a special
[#permalink]
Show Tags
07 Sep 2018, 06:35
HolaMaven wrote: The original price of an article was reduced by 25%. During a special sale the new price was decreased by 10%. By approximately what percentage would the new price have to be increased in order to restore the price of the article to its original amount? A. 32.5% B. 35% C. 48% D. 65% E. 67.5% Net discount during special sale is \(25  10 + \frac{(25)(10)}{100} = 35 + 2.50 = 32.50\) So, The price of the article must is \(100  32.50 = 67.50\) Thus, the final price must be restored by \(\frac{32.50}{67.50}*100\) ~ \(48\) %, Answer must 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 )



NonHuman User
Joined: 09 Sep 2013
Posts: 9206

Re: The original price of an article was reduced by 25 percent.
[#permalink]
Show Tags
26 Nov 2018, 06:24
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




Re: The original price of an article was reduced by 25 percent. &nbs
[#permalink]
26 Nov 2018, 06:24






