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M09 #12

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Director
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Joined: 25 Oct 2008
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Location: Kolkata,India
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Kudos [?]: 117 [0], given: 100

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M09 #12 [#permalink] New post 05 Oct 2009, 17:22
If the power of an engine grows by 10% when the number of its cylinders is increased by one, which of the following is closest to the ratio of the power of a 9-cylinder engine to that of a 12-cylinder engine?
# 0.69
# 0.71
# 0.72
# 0.75
# 0.78
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Manager
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Re: M09 #12 [#permalink] New post 06 Oct 2009, 20:29
Let power of 9 cylinder engine is p
Power of 9 cylinder / Power of 11 cylinder = p/(1.1*1.1*1.1 *p) = 1000/1331 ~ 100/133
= 100/ (4 *100/3) ( As 4/3 = 1.33)
= 3/4 = .75
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Re: M09 #12 [#permalink] New post 06 Oct 2009, 22:00
Could you please elaborate?It's not clear..
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Re: M09 #12 [#permalink] New post 07 Oct 2009, 09:34
Let power of 9 cylinder engine is a
Power of 10 cylinder engine = a* 110/100 = 1.1a
Power of 11 cylinder engine = 110/100(1.1a)
= 1.1*1.1*a
Similarly power of 12 cylinder engine = 1.1*1.1*1.1*a

Power of 9 cylinder engine / Power of 12 cylinder engine = a/(1.1*1.1*1.1*a)
= 1/1.331 = 1000/1331 ~ 100/133

but 133 can be written as 400/3
So 100/133 = 100/(400/3) = 3/4 = 0.75
Re: M09 #12   [#permalink] 07 Oct 2009, 09:34
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M09 #12

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