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# Over the course of a year, a certain microbrewery increased its beer

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Math Expert
Joined: 02 Sep 2009
Posts: 42338

Kudos [?]: 133161 [0], given: 12415

Over the course of a year, a certain microbrewery increased its beer [#permalink]

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02 Dec 2014, 09:10
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Difficulty:

45% (medium)

Question Stats:

68% (01:21) correct 33% (01:13) wrong based on 80 sessions

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Tough and Tricky questions: Percents.

Over the course of a year, a certain microbrewery increased its beer output by 70 percent. At the same time, it decreased its total working hours by 20 percent. By what percent did this factory increase its output per hour?

A) 50%
B) 90%
C) 112.5%
D) 210%
E) 212.5%

Kudos for a correct solution.

Source: Chili Hot GMAT
[Reveal] Spoiler: OA

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Kudos [?]: 133161 [0], given: 12415

Manager
Joined: 12 Sep 2014
Posts: 168

Kudos [?]: 82 [2], given: 103

GMAT 1: 740 Q49 V41
GPA: 3.94
Re: Over the course of a year, a certain microbrewery increased its beer [#permalink]

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02 Dec 2014, 10:27
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Beware of this question's wording...

Let's take the original output to be 100 and the new output to be 170% or 170.
Let's take the original work hours to be 100 hours and the new work hours to be 80% or 80 hours.

The old output per work hour = 100/100 hours or 1.
The new output per work hour = 170/80 or 2.125. So the resulting increase is actually new minus old or 1.125 or 112.5%. Choice C

Kudos [?]: 82 [2], given: 103

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Location: India
Concentration: General Management, Technology
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Re: Over the course of a year, a certain microbrewery increased its beer [#permalink]

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02 Dec 2014, 19:44
1
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Time ........................... Rate .................. Work Done

100 ............................. 1 ............................. 100 (Assumption/ Original Values)

80 ......................... $$\frac{170}{80}$$ ........................ 170 (Output increase by 70%)
(Time decrease by 20%)

Per cent increase in rate $$= (\frac{17}{8} - 1) * 100 = \frac{9}{8} * 100 = 112.5%$$
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Re: Over the course of a year, a certain microbrewery increased its beer [#permalink]

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13 Oct 2017, 09:11
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).

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Re: Over the course of a year, a certain microbrewery increased its beer   [#permalink] 13 Oct 2017, 09:11
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