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

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Math Expert
Joined: 02 Sep 2009
Posts: 46162
What percent of 3x is 6y if x = 4y? [#permalink]

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21 May 2017, 12:30
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Difficulty:

15% (low)

Question Stats:

94% (00:35) correct 6% (00:59) wrong based on 42 sessions

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

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

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Joined: 13 Oct 2016
Posts: 297
GMAT 1: 600 Q44 V28
Re: What percent of 3x is 6y if x = 4y? [#permalink]

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21 May 2017, 13:25
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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21 May 2017, 13:32
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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21 May 2017, 17:58
1
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%

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

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21 May 2017, 23:03
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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23 May 2017, 17:19
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%

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Re: What percent of 3x is 6y if x = 4y?   [#permalink] 23 May 2017, 17:19
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