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# 50 as a percent of 30

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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50 as a percent of 30 [#permalink]  10 Jun 2018, 03:49
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Question Stats:

55% (00:31) correct 44% (00:32) wrong based on 9 sessions
 Quantity A Quantity B 50 as a percent of 30 The percent increase from 30 to 80

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783 [1] , given: 397

Re: 50 as a percent of 30 [#permalink]  13 Jun 2018, 16:29
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Expert's post
Explanation

50 as a percent of 30 is $$\frac{50}{30} \times 100$$% = 166.6%.

(Note: it’s incorrect to calculate “50 percent of 30,” which is 15. This asked for 50 as a percent of 30, which is equivalent to asking, “What percent of 30 is 50?”)

To find the percent increase from 30 to 80, use the percent change formula:
Percent Change = $$\frac{Difference}{original} \times 100$$%
Percent Change = $$\frac{80-30}{30} \times 100$$% = 166.6%

The two quantities are equal. Note that doing the final calculation in each quantity is not necessary, because both equal $$\frac{50}{30}\times 100$$.
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Sandy
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Joined: 21 Nov 2017
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Re: 50 as a percent of 30 [#permalink]  13 Jun 2018, 17:29
Quantity A = 50/30 *100%
Quantity B = (80-30)/30*100% = 50/30*100%
--> A = B
--> C
Re: 50 as a percent of 30   [#permalink] 13 Jun 2018, 17:29
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