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

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

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11 Sep 2012, 13:39
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Difficulty:

65% (hard)

Question Stats:

51% (02:08) correct 49% (00:40) wrong based on 243 sessions

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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

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Re: The output of a factory was increased by 10% to keep up with [#permalink]

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12 Sep 2012, 00:32
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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.
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Re: The output of a factory was increased by 10% to keep up with [#permalink]

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04 Jan 2013, 15:09
1
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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.
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Re: The output of a factory was increased by 10% to keep up with [#permalink]

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31 Jan 2013, 11:23
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(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
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The output of a factory was increased by 10% to keep [#permalink]

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03 Jun 2013, 03:52
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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
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Director Status: Tutor - BrushMyQuant Joined: 05 Apr 2011 Posts: 614 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: 108 Kudos [?]: 653 [0], given: 57 Re: The output of a factory was increased by 10% to keep up with [#permalink] ### Show Tags 11 Sep 2012, 20:39 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! _________________ Ankit Check my Tutoring Site -> Brush My Quant GMAT Quant Tutor How to start GMAT preparations? How to Improve Quant Score? Gmatclub Topic Tags Check out my GMAT debrief How to Solve : Statistics || Reflection of a line || Remainder Problems || Inequalities Moderator Joined: 01 Sep 2010 Posts: 3182 Followers: 861 Kudos [?]: 7332 [0], given: 1065 Re: The output of a factory was increased by 10% to keep up with [#permalink] ### Show Tags 12 Sep 2012, 02:31 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: 3 Kudos [?]: 137 [0], given: 5 Re: The output of a factory was increased by 10% to keep up with [#permalink] ### Show Tags 12 Sep 2012, 10:01 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: 1 Kudos [?]: 0 [0], given: 50 Re: The output of a factory was increased by 10% to keep up with [#permalink] ### Show Tags 03 Jan 2013, 16:07 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: 15518 Followers: 651 Kudos [?]: 210 [0], given: 0 Re: The output of a factory was increased by 10% to keep up with [#permalink] ### Show Tags 07 Jun 2014, 04:34 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. _________________ Intern Joined: 09 Jul 2015 Posts: 29 Location: India Concentration: Finance GMAT 1: 690 Q50 V32 GMAT 2: 750 Q51 V40 GPA: 3 Followers: 1 Kudos [?]: 14 [0], given: 50 Re: The output of a factory was increased by 10% to keep up with [#permalink] ### Show Tags 24 Apr 2016, 04:29 Another approach We have to decrease the output by 32. Lets check option C first. 30% of 132 = 39.6 > 32 So, we will check option A now (as it will require less computation compared with option B) 20% of 132 = 26.4 < 32 Hence, option B is the answer Re: The output of a factory was increased by 10% to keep up with [#permalink] 24 Apr 2016, 04:29 Similar topics Replies Last post Similar Topics: 4 The output of a factory is increased by 10% to keep up with rising dem 4 17 Jan 2017, 09:29 24 At a certain factory, 10 percent of the staplers produced on 8 20 Mar 2017, 02:32 9 A machinist's salary at a factory increases by$2,000 at the 3 26 Aug 2016, 13:55
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