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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
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If x is 8/3 percent of y, y is what percent of x?  [#permalink]

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Difficulty:   75% (hard)

Question Stats: 53% (01:37) correct 47% (01:35) wrong based on 117 sessions

### HideShow timer Statistics If x is 8/3 percent of y, y is what percent of x?
A. 3/8 B. 37.5 C. 375 D. 3,750 E. 3.75

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Re: If x is 8/3 percent of y, y is what percent of x?  [#permalink]

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MathRevolution wrote:
If x is 8/3 percent of y, y is what percent of x?
A. 3/8 B. 37.5 C. 375 D. 3,750 E. 3.75

As per question, x = (8/3) * y *100

or y = (300/8) *x = 3750% of x. Hence D
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Re: If x is 8/3 percent of y, y is what percent of x?  [#permalink]

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MathRevolution wrote:
If x is 8/3 percent of y, y is what percent of x?
A. 3/8 B. 37.5 C. 375 D. 3,750 E. 3.75

It's a Percents question, not Mixture problem. Edited.
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Math Revolution GMAT Instructor V
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Re: If x is 8/3 percent of y, y is what percent of x?  [#permalink]

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==> according to ivy approach, from x=(8/3)(1/100)y, y=(something)(1/100)x, we get y=(something)(1/100)(8/3)(1/100)y, if we substitute x into y. If we cancel y from both sides of the equation, we get something=3,750. Hence, the correct answer is D.
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Re: If x is 8/3 percent of y, y is what percent of x?  [#permalink]

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MathRevolution wrote:
If x is 8/3 percent of y, y is what percent of x?
A. 3/8
B. 37.5
C. 375
D. 3,750
E. 3.75

x is 8/3 percent of y
Let's plug in some nice values for x and y that satisfy the above conditions.
We know that 8/3 is 8/3 percent of 100.
So, x = 8/3 and y = 100 works

y is what percent of x?
In other words, 100 is what percent of 8/3?
Rewrite as 100 is what percent of 2 2/3?
Well, 100 is about 40 TIMES 2 2/3
If we express 40 as a percent we get 4000%
So, our answer will be close to 4000

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Re: If x is 8/3 percent of y, y is what percent of x?  [#permalink]

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MathRevolution wrote:
If x is 8/3 percent of y, y is what percent of x?
A. 3/8 B. 37.5 C. 375 D. 3,750 E. 3.75

We are given that x = (8/3)/100 * y, we need to express y in terms of x:

x = 8/300 * y

300/8 * x = y

37.5x = y

Since 37.5 = 3,750%, we see that y is 3,750% of x.

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Re: If x is 8/3 percent of y, y is what percent of x?  [#permalink]

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MathRevolution wrote:
If x is 8/3 percent of y, y is what percent of x?
A. 3/8 B. 37.5 C. 375 D. 3,750 E. 3.75

Plugging in some values might really help here , let $$y = 300$$

So, x = $$\frac{8}{300}*300 = 8$$

Now y as a percentage of x is $$\frac{300}{8}*100$$ = $$3750$$ , Answer must be (D)
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