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Thirty percent of forty percent of fifty is sixty percent of what perc

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New post 11 Aug 2015, 14:28
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Thirty percent of forty percent of fifty is sixty percent of what percent of two-hundred ?

A. 0.5%
B. 1%
C. 5%
D. 50%
E. 500%

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Re: Thirty percent of forty percent of fifty is sixty percent of what perc  [#permalink]

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New post 11 Aug 2015, 17:15
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\(\frac{3}{10}*\frac{4}{10}*50=\frac{6}{10}*\frac{X}{100}*200\)

\(\frac{12}{2}=\frac{12x}{10}\)

\(60=12x\)

x=5
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Thirty percent of forty percent of fifty is sixty percent of what perc  [#permalink]

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New post 10 Dec 2015, 09:48
Thirty percent of forty percent of fifty is sixty percent of what percent of two-hundred ?

A. 0.5%
B. 1%
C. 5%
D. 50%
E. 500%
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Re: Thirty percent of forty percent of fifty is sixty percent of what perc  [#permalink]

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New post 10 Dec 2015, 10:28
Hello!

\(\frac{30}{100}\)*\(\frac{40}{100}\)*50 = \(\frac{60}{100}\)*x*200
6 = 120*x
x = \(\frac{1}{20}\) = 0.05 = 5%

Answer: C) 5%
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Re: Thirty percent of forty percent of fifty is sixty percent of what perc  [#permalink]

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New post 10 Dec 2015, 11:26
1
StephenPerkins wrote:
Thirty percent of forty percent of fifty is sixty percent of what percent of two-hundred ?

A. 0.5%
B. 1%
C. 5%
D. 50%
E. 500%


x percent can be written as x/100

So, we get: (30/100)(40/100)(50) = (60/100)(x/100)(200)
Simplify all fractions to get: (3/10)(2/5)(50) = (3/5)(x/100)(200)
Expand: 300/50 = 600x/500
Simplify: 6 = 6x/5
Multiply both sides by 5 to get: 30 = 6x
Solve: x = 5

Answer: C

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Brent
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Re: Thirty percent of forty percent of fifty is sixty percent of what perc  [#permalink]

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New post 21 Jun 2017, 04:26
reto wrote:
Thirty percent of forty percent of fifty is sixty percent of what percent of two-hundred ?

A. 0.5%
B. 1%
C. 5%
D. 50%
E. 500%


50 (.4)= 20

20(.3) =6

x(.60) =6

10 (.60) =6

10/200 = .05

Thus
"C"
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Re: Thirty percent of forty percent of fifty is sixty percent of what perc  [#permalink]

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New post 15 Oct 2019, 13:29
\((30/100)(40/100)(50) = (60/100)(x/100)(200)\)

Solving this we get X=5.

Nice wording of the question to make it look confusing :)
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Re: Thirty percent of forty percent of fifty is sixty percent of what perc   [#permalink] 15 Oct 2019, 13:29
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