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M20-28

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M20-28 [#permalink]

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New post 16 Sep 2014, 00:09
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

87% (00:38) correct 13% (00:36) wrong based on 92 sessions

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Kudos [?]: 135384 [0], given: 12691

Expert Post
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Re M20-28 [#permalink]

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New post 16 Sep 2014, 00:09
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Official Solution:

\(\frac{9}{2}\) is what percent of \(1.125\)?

A. 60
B. 80
C. 300
D. 360
E. 400


First of all \(1.125=1\frac{125}{1000}=1\frac{1}{8}=\frac{9}{8}\).

Question asks about the value of \(x\) in \(\frac{9}{8}*\frac{x}{100}=\frac{9}{2}\).

Solving gives: \(x=\frac{9}{2}*\frac{8}{9}*100=400 \%\).


Answer: E
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Re: M20-28 [#permalink]

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New post 13 Aug 2015, 00:22
another approach
9/2 = 4.5
4.5 is bigger than 1.125
Hence we can eliminate a & b.

check c now. 1.125 * 3 = 3.375 which is less than 4.5....hence 300% is also less.

try 400% (a easy number to deal)...
1.125 * (400/100) = 4.5...
this is the answer

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Re: M20-28 [#permalink]

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New post 08 Jul 2017, 23:38
I guess the quickest way to calculate it is by converting everything to fractions. Keeping one in fraction and another in decimal takes way too much time (Atleast for me)

Needed -

\(\frac{9}{2} = \frac{x}{100} * 1.125\)

\(\frac{9}{2} = \frac{x}{100} * (1+ \frac{1}{8})\)

\(\frac{9}{2} = \frac{x}{100} * \frac{9}{8}\)

\(x = 400\)

Answer Choice : E
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Joined: 31 Jul 2013
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Re: M20-28 [#permalink]

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New post 20 Oct 2017, 07:00
Another way to calculate:
9/2 = 4.5
1.125 * 2 = 2.25 * 2 = 4.5
9/2 > 1.125 4 times. 400%

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Re: M20-28 [#permalink]

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New post 21 Oct 2017, 22:55
+1 for E. the catch here is that 1.125 is 9/8. How ? 1/8 is 0.125. 1+(1/8) is 9/8. (9/2)/(9/8) is 400%.
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Re: M20-28   [#permalink] 21 Oct 2017, 22:55
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