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# 25 percent of 30 is 75 percent of what number?

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Joined: 07 Jun 2014
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25 percent of 30 is 75 percent of what number? [#permalink]  11 Jun 2018, 15:49
Expert's post
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Question Stats:

100% (00:07) correct 0% (00:00) wrong based on 5 sessions
25 percent of 30 is 75 percent of what number?

[Reveal] Spoiler: OA
10

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Sandy
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Re: 25 percent of 30 is 75 percent of what number? [#permalink]  13 Jun 2018, 18:11
25%*30 = 75%*X --> X = 25*30/75 = 10
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783 [0], given: 397

Re: 25 percent of 30 is 75 percent of what number? [#permalink]  01 Jul 2018, 13:47
Expert's post
Explanation

Translate the question as 0.25(30) = 0.75x and solve on the calculator: x = 10.

Alternatively, write the percents in simplified fraction form and solve on paper:

$$\frac{1}{4}30=\frac{3}{4}x$$

$$3x=30$$ or $$x=10.$$
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Re: 25 percent of 30 is 75 percent of what number?   [#permalink] 01 Jul 2018, 13:47
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