NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 17:42 It is currently 23 Apr 2024, 17:42
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

The original price of an article was reduced by 25%. During a special

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
S
HolaMaven
Manager
Manager
Joined: 12 Aug 2017
Status:Math Tutor
Posts: 60
Own Kudos [?]: 105 [11]
Given Kudos: 13
GMAT 1: 750 Q50 V42
WE:Education (Education)
Send PM
The original price of an article was reduced by 25%. During a special [#permalink] New post   13 Aug 2017, 20:07
1
Kudos
10
Bookmarks
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

65% (01:51) correct 35% (01:45) wrong based on 304 sessions
Hide Show 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%
ShowHide Answer
Official Answer
C
Most Helpful Reply
avatar
B
pips883
Intern
Intern
Joined: 30 May 2017
Posts: 6
Own Kudos [?]: 8 [5]
Given Kudos: 18
Send PM
Re: The original price of an article was reduced by 25%. During a special [#permalink] New post   13 Aug 2017, 20:18
3
Kudos
2
Bookmarks
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 SM-G935F usando Tapatalk
General Discussion
avatar
S
jwang516
Intern
Intern
Joined: 31 Mar 2017
Posts: 31
Own Kudos [?]: 83 [3]
Given Kudos: 16
GMAT 1: 710 Q45 V42
GMAT 2: 730 Q50 V39
GMAT 3: 740 Q50 V40
GPA: 3.73
Send PM
Re: The original price of an article was reduced by 25%. During a special [#permalink] New post   13 Aug 2017, 20:23
3
Kudos
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
User avatar
S
HolaMaven
Manager
Manager
Joined: 12 Aug 2017
Status:Math Tutor
Posts: 60
Own Kudos [?]: 105 [1]
Given Kudos: 13
GMAT 1: 750 Q50 V42
WE:Education (Education)
Send PM
Re: The original price of an article was reduced by 25%. During a special [#permalink] New post   13 Aug 2017, 20:32
1
Kudos
Even an easier way is eliminating the options.
25%+10% = 35%, too easy and not an answer
(100-35)% = 65%, again too easy
(100-25)% = 75% - 10%*75* = 67.5% Not possible as its only decrease
(100-67.5)%=32.5%, again not possible as this will increase value to 100% but we need to calculate % increase
Thus option C - 48%
User avatar
L
pushpitkc
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 2873
Own Kudos [?]: 5204 [4]
Given Kudos: 47
Location: India
GPA: 3.12
Send PM
Re: The original price of an article was reduced by 25%. During a special [#permalink] New post   13 Aug 2017, 21:02
4
Kudos
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)
User avatar
L
generis
Senior SC Moderator
Joined: 22 May 2016
Posts: 5330
Own Kudos [?]: 35483 [2]
Given Kudos: 9464
Send PM
CAT Tests
Re: The original price of an article was reduced by 25%. During a special [#permalink] New post   14 Aug 2017, 13:27
2
Kudos
Expert Reply
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.
avatar
B
pips883
Intern
Intern
Joined: 30 May 2017
Posts: 6
Own Kudos [?]: 8 [0]
Given Kudos: 18
Send PM
Re: The original price of an article was reduced by 25%. During a special [#permalink] New post   14 Aug 2017, 14:37
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 [you-tube]increase[/you-tube] 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.
User avatar
S
Bounce1987
Manager
Manager
Joined: 06 Jul 2014
Posts: 71
Own Kudos [?]: 124 [0]
Given Kudos: 194
Location: India
Concentration: Finance, Entrepreneurship
Schools: Weatherhead '21 Mason '21
GMAT 1: 660 Q48 V32
Send PM
GMAT ToolKit User Reviews Badge
Re: The original price of an article was reduced by 25%. During a special [#permalink] New post   14 Aug 2017, 14:49
Plugging in numbers should help.
3/4*9/10(1+x/100)=1 Answer C
User avatar
L
sashiim20
Director
Director
Joined: 04 Dec 2015
Posts: 620
Own Kudos [?]: 1585 [3]
Given Kudos: 276
Location: India
Concentration: Technology, Strategy
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
WE:Information Technology (Consulting)
Send PM
GMAT ToolKit User
Re: The original price of an article was reduced by 25%. During a special [#permalink] New post   14 Aug 2017, 22:14
1
Kudos
1
Bookmarks
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)...
User avatar
S
HolaMaven
Manager
Manager
Joined: 12 Aug 2017
Status:Math Tutor
Posts: 60
Own Kudos [?]: 105 [0]
Given Kudos: 13
GMAT 1: 750 Q50 V42
WE:Education (Education)
Send PM
Re: The original price of an article was reduced by 25%. During a special [#permalink] New post   15 Aug 2017, 12:39
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.
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6270 [0]
Given Kudos: 1646
Send PM
Re: The original price of an article was reduced by 25%. During a special [#permalink] New post   18 Aug 2017, 09:08
Expert Reply
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
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4689 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: The original price of an article was reduced by 25%. During a special [#permalink] New post   07 Sep 2018, 07:35
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)
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32629
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: The original price of an article was reduced by 25%. During a special [#permalink] New post   09 Oct 2023, 21:22
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 Club Bot
gmatclubot
Re: The original price of an article was reduced by 25%. During a special [#permalink]
09 Oct 2023, 21:22
Moderators:
Bunuel
Math Expert
92883 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions