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M17-21

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M17-21 [#permalink]

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New post 16 Sep 2014, 01:01
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Expert Post
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Re M17-21 [#permalink]

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New post 16 Sep 2014, 01:01
Official Solution:

\(\frac{1}{12}\) is what percent smaller than \(\frac{1}{3}\)?

A. 55%
B. 60%
C. 72%
D. 75%
E. 80%

\((\frac{\frac{1}{3} - \frac{1}{12}}{\frac{1}{3}})*100\% = (\frac{\frac{3}{12}}{\frac{1}{3}})*100\% = (\frac{3}{4})*100\% = 75\%\).

Answer: D
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M17-21 [#permalink]

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New post 31 Aug 2015, 21:23
another way to solve
1/12 is 1/4 of (1/3).

Lets have a parallel example now to understand the difference..
25 is 1/4 of 100. 25 is less than 100 by 75...
hence 1/12 is 75% less than 1/3

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Re: M17-21 [#permalink]

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New post 09 May 2017, 07:55
The question is asking us to find the percentage of (1/3-1/12) w.r.t 1/3. Solving , we get 3/4 or 75%
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Re: M17-21 [#permalink]

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New post 09 May 2017, 23:32
1/3-1/12= 4-1/12
3/12= 1/4
1/4=25%.
Difference between 1/3 and 1/12 is 25% and hence 1/12 is 75% smaller than 1/3

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Re: M17-21 [#permalink]

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New post 29 Jun 2017, 21:35
= 1 - (1/12)/(1/3)

Using the reciprocal

= 1 - (1/12)*(3/1)
= 1 - 3/12
= 1 - 1/4
= 3/4

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Re: M17-21 [#permalink]

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New post 14 Sep 2017, 17:01
1/3 - x/100(1/3) = 1/12

1-x/100 = 1/4

x=75

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Re: M17-21   [#permalink] 14 Sep 2017, 17:01
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