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What percent of 112 is 14?

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SVP
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What percent of 112 is 14?  [#permalink]

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New post 24 Feb 2017, 07:31
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What percent of 112 is 14?

(A) 0.125%
(B) 8%
(C) 12.5%
(D) 125%
(E) 800%

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What percent of 112 is 14?  [#permalink]

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New post 24 Feb 2017, 12:08
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SajjadAhmad wrote:
What percent of 112 is 14?

(A) 0.125%
(B) 8%
(C) 12.5%
(D) 125%
(E) 800%



10% of 112 is 11.2.
The question asks for 14 which is higher than 11.2, you can immediately eliminate A and B.
D and E are over 100%, the answer is C without having to do any math.

If you wanted to do math for instance if D and E were more reasonable at maybe 12% and 13% then you can cross multiply and solve for x.

\(\frac{14}{112}\) is \(\frac{x}{100}\)

14 x 100 / 112 = 12.5%
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Re: What percent of 112 is 14?  [#permalink]

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New post 24 Feb 2017, 14:13
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SajjadAhmad wrote:
What percent of 112 is 14?

(A) 0.125%
(B) 8%
(C) 12.5%
(D) 125%
(E) 800%


10% of 112 = 11.2
So, 20% of 112 = 22.4

Since 14 is BETWEEN 11.2 and 22.4, we know that the required percent is BETWEEN 10% and 20%

Answer: C

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Re: What percent of 112 is 14?  [#permalink]

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New post 24 Feb 2017, 14:43
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One underappreciated fact about this type of problem is that you can translate the question into math left to right, word for word and end up with a valid equation. In this problem, you'd do it as follows:

'What percent' = p/100

'of 112' = multiply by 112

'is' = equals sign

'14' = the number 14

So, the equation to solve is (x/100)(112) = 14. Approximate from here: 14*100/112 should be just a bit smaller than 14, so 12.5 is the only reasonable answer.
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Re: What percent of 112 is 14?  [#permalink]

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New post 25 Feb 2017, 00:29
SajjadAhmad wrote:
What percent of 112 is 14?

(A) 0.125%
(B) 8%
(C) 12.5%
(D) 125%
(E) 800%


\(\frac{14}{112}*100 = 12.5\) %

Thus, answer must be (C) 12.5 %
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Re: What percent of 112 is 14?  [#permalink]

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New post 31 Oct 2018, 05:51
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