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If b= , a is halved, and c is doubled, by what percentage wi

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If b= , a is halved, and c is doubled, by what percentage wi [#permalink] New post 29 Jan 2018, 15:16
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Question Stats:

57% (00:52) correct 42% (02:06) wrong based on 14 sessions
If \(b=\frac{4a}{c}\) , a is halved, and c is doubled, by what percentage will b decrease?
A. 4%
B. 25%
C. 50%
D. 75%
E. 100%

Drill 1
Question: 14
Page: 495
[Reveal] Spoiler: OA

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Re: If b= , a is halved, and c is doubled, by what percentage wi [#permalink] New post 30 Jan 2018, 07:58
sandy wrote:
If \(b=\frac{4a}{c}\) , a is halved, and c is doubled, by what percentage will b decrease?
A. 4%
B. 25%
C. 50%
D. 75%
E. 100%




Here let take a=10 , c= 2 (for easy calculation we want to keep the value of b as integer and not fraction)

so b =\(\frac{(4 * 10)}{(2)}\)

or b= 20

Now a is halved = \(\frac{10}{2}\) = 5

and c is doubled = 2+2 = 4

Now b= \(\frac{(4 * 5)}{(4)}\) = 5

Therefore percentage decrease = \(\frac{(5-20)}{20}* 100\) = -75% i.e decrease
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Re: If b= , a is halved, and c is doubled, by what percentage wi [#permalink] New post 03 Feb 2018, 04:01
Thank you.
GMAT Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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Re: If b= , a is halved, and c is doubled, by what percentage wi [#permalink] New post 04 Mar 2018, 14:24
Expert's post
Explanation

Try plugging in values for a and c. Let a = 6 and c = 2.

Then b= =3. If a is halved, equal it will 3. If c is doubled, it will equal 4. So now, b= =3.

Because the question is looking for a percentage decrease, apply the percentage change formula:

\(\frac{12-3}{12}\times 100=\frac{9}{12}\times 100=75%\).
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Re: If b= , a is halved, and c is doubled, by what percentage wi   [#permalink] 04 Mar 2018, 14:24
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