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What percent of 3x is 6y if x = 4y?

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Math Expert
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What percent of 3x is 6y if x = 4y?  [#permalink]

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New post 21 May 2017, 11:30
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (00:56) correct 15% (01:03) wrong based on 46 sessions

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Re: What percent of 3x is 6y if x = 4y?  [#permalink]

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New post 21 May 2017, 12:25
a/100 *3x = 6y

x = 4y therefore a/100*12y = 6y

a/100 = 6/12 -----> 50%

Hence the answer is option A
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Re: What percent of 3x is 6y if x = 4y?  [#permalink]

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New post 21 May 2017, 12:32
1
Given x = 4y
Multiply 3 on both sides to get
3x = 12y
Now looking at this we can easily say that if 12y is 100% (100/100) of 3x
Therefore 6y will be 50%
Option A

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Re: What percent of 3x is 6y if x = 4y?  [#permalink]

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New post 21 May 2017, 16:58
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Bunuel wrote:
What percent of 3x is 6y if x = 4y?

(A) 50%
(B) 40%
(C) 30%
(D) 20%
(E) 18%


Let the unknown number be Z.

Z % of 3x is 6y => \(\frac{Z}{100}\) * 3x = 6y

Z = \(\frac{6y *100}{3x}\)

Given; x = 4y

Z = \(\frac{6y*100}{3*4y}\) = 50%

Answer A...

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Re: What percent of 3x is 6y if x = 4y?  [#permalink]

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New post 21 May 2017, 22:03
Required percentage will be 6y/3x * 100 = 200y/x
We just need the ratio y/x to solve this

Given x=4y or y/x = 1/4

So required percentage = 200 * 1/4 = 50%
Hence A
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Re: What percent of 3x is 6y if x = 4y?  [#permalink]

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New post 23 May 2017, 16:19
1
Bunuel wrote:
What percent of 3x is 6y if x = 4y?

(A) 50%
(B) 40%
(C) 30%
(D) 20%
(E) 18%


We are given that x = 4y and need to determine 6y as a percent of 3x.

Thus:

6y/3x * 100 = ?

2y/x * 100 = ?

Since x = 4y, we can substitute 4y for x in our expression and we have:

2y/4y * 100 = 1/2 * 100 = 50%

Answer: A
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Re: What percent of 3x is 6y if x = 4y? &nbs [#permalink] 23 May 2017, 16:19
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