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# If a ≠ 0, 200 percent of 4 percent of a is what percent of

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Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1782 [0], given: 397

If a ≠ 0, 200 percent of 4 percent of a is what percent of [#permalink]  11 Jun 2018, 15:55
Expert's post
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Question Stats:

75% (00:36) correct 25% (00:46) wrong based on 4 sessions
If a ≠ 0, 200 percent of 4 percent of a is what percent of $$\frac{a}{2}$$?

[Reveal] Spoiler: OA
16

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Sandy
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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 [?]: 1782 [0], given: 397

Re: If a ≠ 0, 200 percent of 4 percent of a is what percent of [#permalink]  01 Jul 2018, 13:59
Expert's post
Explanation

200% of 4% is the same as 2 × 4% (note that 200% equals the plain number 2), or 8%.

Rephrase the question as “8% of a is what percent of $$\frac{a}{2}$$?”

Without translating to an equation, this can be simplified by multiplying both sides of the “equation” by 2 (remember that “is” means “equals”):

8% of a is what percent of ?

16% of a is what percent of a?

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Sandy
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Re: If a ≠ 0, 200 percent of 4 percent of a is what percent of   [#permalink] 01 Jul 2018, 13:59
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