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# M28-20

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Math Expert
Joined: 02 Sep 2009
Posts: 44599

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16 Sep 2014, 01:29
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Difficulty:

45% (medium)

Question Stats:

64% (00:53) correct 36% (01:08) wrong based on 33 sessions

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If the productivity of a brigade grows by 10% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade?

A. 0.21
B. 0.82
C. 1.20
D. 1.21
E. 1.44
[Reveal] Spoiler: OA

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Math Expert
Joined: 02 Sep 2009
Posts: 44599

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16 Sep 2014, 01:29
Official Solution:

If the productivity of a brigade grows by 10% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade?

A. 0.21
B. 0.82
C. 1.20
D. 1.21
E. 1.44

If $$x$$ is the productivity of the 10-person brigade, the productivity of the 12-person brigade is $$1.1*1.1*x = 1.21*x$$. The required ratio $$= \frac{1.21x}{x} = 1.21$$.

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Joined: 05 Jun 2017
Posts: 7
Location: India
GPA: 3.67
WE: Science (Non-Profit and Government)

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22 Nov 2017, 00:39
1
KUDOS
my method is product change method

let initial value is 100
then 10% increase makes 110. further 10 % increase makes 121

now ratio of 121/100: 1.21
Re: M28-20   [#permalink] 22 Nov 2017, 00:39
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# M28-20

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