Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 31 Aug 2015, 04:04

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# The output of a factory was increased by 10% to keep up with

Author Message
TAGS:
Moderator
Joined: 01 Sep 2010
Posts: 2653
Followers: 511

Kudos [?]: 3941 [0], given: 727

The output of a factory was increased by 10% to keep up with [#permalink]  11 Sep 2012, 12:39
Expert's post
3
This post was
BOOKMARKED
00:00

Difficulty:

65% (hard)

Question Stats:

45% (02:02) correct 55% (00:43) wrong based on 183 sessions
The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, this new output was increased by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output?

A. 20%
B. 24%
C. 30%
D. 32%
E. 79%

This question is possible in the real gmat ?? what is the level ?? I guess sub 600 but for me is even more less. However, it is classified as upper medium level
[Reveal] Spoiler: OA

_________________
 Kaplan Promo Code Knewton GMAT Discount Codes Manhattan GMAT Discount Codes
Director
Joined: 22 Mar 2011
Posts: 612
WE: Science (Education)
Followers: 79

Kudos [?]: 644 [2] , given: 43

Re: The output of a factory was increased by 10% to keep up with [#permalink]  11 Sep 2012, 23:32
2
KUDOS
carcass wrote:
The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, this new output was increased by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output?

20%
24%
30%
32%
79%

This question is possible in the real gmat ?? what is the level ?? I guess sub 600 but for me is even more less. However, it is classified as upper medium level

Assume that the output is 100. After the first increase, it is 110. 20% increase of 110 is 22, so the new output is 132 (10% of 110 is 11, so 20% is 2*11=22).
To restore the initial output of 100, we need to reduce the new output 132 by 32. This represents 32/132, which is close but a little bit less than to 32/128 =25%.

Maybe the statistics show that people don't like so much % questions and/or they are not so good at them.
_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

Manager
Joined: 18 Oct 2011
Posts: 91
Location: United States
Concentration: Entrepreneurship, Marketing
GMAT Date: 01-30-2013
GPA: 3.3
Followers: 2

Kudos [?]: 44 [1] , given: 0

Re: The output of a factory was increased by 10% to keep up with [#permalink]  04 Jan 2013, 14:09
1
KUDOS
Difficulty levels are pretty subjective IMO. Everyone has their weak areas that they need to work on which might not hold significance for the next person.
Intern
Affiliations: SAG-AFTRA, AEA
Joined: 27 May 2011
Posts: 15
Location: United States
Concentration: Technology, Strategy
GMAT Date: 04-20-2013
WE: Performing Arts (Entertainment and Sports)
Followers: 0

Kudos [?]: 8 [1] , given: 20

Re: The output of a factory was increased by 10% to keep up with [#permalink]  31 Jan 2013, 10:23
1
KUDOS
(Explanation below provided by 'The Little Green Math Book')

Percentage decrease to return to an original number = $$\frac{New-Old}{New}$$

So: $$\frac{132-100}{132}$$= $$\frac{32}{132}$$ ≈ 24% = B
_________________

"How far that little candle throws his beams.
So shines a good deed in a weary world."
- Shakespeare

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 5855
Location: Pune, India
Followers: 1481

Kudos [?]: 7957 [1] , given: 190

The output of a factory was increased by 10% to keep [#permalink]  03 Jun 2013, 02:52
1
KUDOS
Expert's post
Responding to a pm:

The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, this new output was increased by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output?

20%
24%
30%
32%
79%

The original output increases by 10% and then 20%.

Method 1:

Holiday output = Old output * (11/10) *(6/5) = Old output * (33/25)

Now if you want to go back to the old output, you need to multiply the Holiday output by (25/33) i.e. reduce it by 8/33 which is approximately 24% (note that 8/33 = 24/99 i.e. approx 24%)

Holiday output * (25/33) = Old output * (33/25) * (25/33) = Old output

Method 2:

Or, use the formula.

Total % change = a + b + ab/100
Total % change = 10 + 20 + 10*20/100 = 32%

Now, you want to change it to 0, so,

0 = 32 + x + 32x/100
x = -32(100)/132 = 24% approximately
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews BSchool Thread Master Status: Tutor Joined: 05 Apr 2011 Posts: 536 Location: India Concentration: Finance, Marketing Schools: XLRI (A) GMAT 1: 570 Q49 V19 GMAT 2: 700 Q51 V31 GPA: 3 WE: Information Technology (Computer Software) Followers: 72 Kudos [?]: 387 [0], given: 47 Re: The output of a factory was increased by 10% to keep up with [#permalink] 11 Sep 2012, 19:39 The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, this new output was increased by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output? Let initial output is O then after 10% increase it will be 1.1O and after 20% increase on this new output the latest output will be 1.1O * 1.20 = 1.32O Now we have to decrease the output by some percentage so that the new output is same as the starting output (O) so, 1.32O * (1-x/100) = O => x = 24.24% So, answer will be B According to me its a 600-700 level question. And i guess it can come in gmat. Hope it helps! _________________ Moderator Joined: 01 Sep 2010 Posts: 2653 Followers: 511 Kudos [?]: 3941 [0], given: 727 Re: The output of a factory was increased by 10% to keep up with [#permalink] 12 Sep 2012, 01:31 Expert's post Ok Main issue is the fact that this problem was medium hard level. I was not sure about this I resolved it without problems. Regarding the solution, when you reach 132 to restore to the original output you have to take this new value to 110. So, the question says "By approximately " so we can estimate: 22%. A is not possible so the only that fits the bill is B, without necessary calculation Thanks _________________ Manager Joined: 24 Jul 2011 Posts: 76 Location: India Concentration: Strategy, General Management GMAT 1: 670 Q49 V33 WE: Asset Management (Manufacturing) Followers: 2 Kudos [?]: 85 [0], given: 5 Re: The output of a factory was increased by 10% to keep up with [#permalink] 12 Sep 2012, 09:01 carcass wrote: Ok Main issue is the fact that this problem was medium hard level. I was not sure about this I resolved it without problems. Regarding the solution, when you reach 132 to restore to the original output you have to take this new value to 110. So, the question says "By approximately " so we can estimate: 22%. A is not possible so the only that fits the bill is B, without necessary calculation Thanks Here "original output" should be 100, instead of 110 as we are starting with 100. _________________ My mantra for cracking GMAT: Everyone has inborn talent, however those who complement it with hard work we call them 'talented'. +1 Kudos = Thank You Dear Are you saying thank you? Intern Joined: 03 Jan 2013 Posts: 15 Followers: 0 Kudos [?]: 0 [0], given: 50 Re: The output of a factory was increased by 10% to keep up with [#permalink] 03 Jan 2013, 15:07 I have to ask while solving the question and reading the solutions is there a "base equation" behind the following setup: x/100(132) = 32 what I can deduce is is : Original output percentage * final output = percentage to decrease output . I cant remember on the top of my head but I swear that its reminds me of the X or some number is n sort of setup ..anyone no or is this just a general equation that is automatically created to solve the problem Thanks everyone GMAT Club Legend Joined: 09 Sep 2013 Posts: 6129 Followers: 342 Kudos [?]: 70 [0], given: 0 Re: The output of a factory was increased by 10% to keep up with [#permalink] 07 Jun 2014, 03:34 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. _________________ Re: The output of a factory was increased by 10% to keep up with [#permalink] 07 Jun 2014, 03:34 Similar topics Replies Last post Similar Topics: 7 At a certain factory, 10 percent of the staplers produced on 5 25 Nov 2013, 11:49 3 A machinist's salary at a factory increases by$2,000 at the 2 20 Sep 2013, 16:04
19 In an increasing sequence of 10 consecutive integers, the 8 07 Dec 2012, 03:31
Factorials 2 06 Jul 2011, 06:34
Factorial 3 24 May 2010, 21:35
Display posts from previous: Sort by