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If a = 4b, what percent of 2a is 2b?

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Bunuel
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If a = 4b, what percent of 2a is 2b? [#permalink] New post   Updated on: 10 Jul 2019, 03:37
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A
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C
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E

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If a = 4b, what percent of 2a is 2b?

(A) 10%
(B) 20%
(C) 25%
(D) 26%
(E) 40%

Source: Nova GMAT
Difficulty Level: 550
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C

Originally posted by Bunuel on 30 May 2017, 10:44.
Last edited by Sajjad1994 on 10 Jul 2019, 03:37, edited 1 time in total.
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Re: If a = 4b, what percent of 2a is 2b? [#permalink] New post   30 May 2017, 11:01
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Bunuel wrote:
If a = 4b, what percent of 2a is 2b?

(A) 10%
(B) 20%
(C) 25%
(D) 26%
(E) 40%


Let, x% of 2a = 2b

I.e. (x/100)*(2a)= 2b
I.e. x= 100b/a = 100/4= 25

Answer option C

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Re: If a = 4b, what percent of 2a is 2b? [#permalink] New post   30 May 2017, 11:19
What % of 2a is 2b? Or 2b is what % of 2a? This = 2b/2a * 100 = b/a * 100
So basically we need b/a

We are given a=4b, so b/a = 1/4. Therefore our answer = 1/4 * 100 = 25%

Hence answer is C
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Re: If a = 4b, what percent of 2a is 2b? [#permalink] New post   30 May 2017, 11:40
Bunuel wrote:
If a = 4b, what percent of 2a is 2b?

(A) 10%
(B) 20%
(C) 25%
(D) 26%
(E) 40%


Let b = 1

So, a = 4

So, we have 2a = 8 & 2b = 2

Quote:
what percent of 2a is 2b?


\(\frac{2}{8}*100\) = \(25\)%

Thus, answer will be (C) 25%
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Re: If a = 4b, what percent of 2a is 2b? [#permalink] New post   15 May 2018, 16:21
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Bunuel wrote:
If a = 4b, what percent of 2a is 2b?

(A) 10%
(B) 20%
(C) 25%
(D) 26%
(E) 40%


Simplifying, we have:

b/a = 1/4

2b/2a = 1/4 as well, which is 25%.

Answer: C
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Re: If a = 4b, what percent of 2a is 2b? [#permalink] New post   12 Mar 2019, 03:00
Bunuel wrote:
If a = 4b, what percent of 2a is 2b?

(A) 10%
(B) 20%
(C) 25%
(D) 26%
(E) 40%


X percent of 2a is 2b
It means that 2b = 100 percent
x/100 * 2a= 2b
x/100 = 2b/2a
x/100 = b/a
x = 100b/a = 100/4 = 25
Answer is C
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Re: If a = 4b, what percent of 2a is 2b? [#permalink]
12 Mar 2019, 03:00
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