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# If x is 8/3 percent of y, y is what percent of x?

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Math Revolution GMAT Instructor
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If x is 8/3 percent of y, y is what percent of x?  [#permalink]

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02 Oct 2016, 03:45
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75% (hard)

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49% (01:15) correct 51% (01:11) wrong based on 103 sessions

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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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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Board of Directors Status: Stepping into my 10 years long dream Joined: 18 Jul 2015 Posts: 3676 Re: If x is 8/3 percent of y, y is what percent of x? [#permalink] ### Show Tags 02 Oct 2016, 04:38 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 _________________ My GMAT Story: From V21 to V40 My MBA Journey: My 10 years long MBA Dream My Secret Hacks: Best way to use GMATClub | Importance of an Error Log! Verbal Resources: All SC Resources at one place | All CR Resources at one place GMAT Club Inbuilt Error Log Functionality - View More. New Visa Forum - Ask all your Visa Related Questions - here. Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free Math Expert Joined: 02 Sep 2009 Posts: 49251 Re: If x is 8/3 percent of y, y is what percent of x? [#permalink] ### Show Tags 02 Oct 2016, 05:21 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. _________________ Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6212 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: If x is 8/3 percent of y, y is what percent of x? [#permalink] ### Show Tags 04 Oct 2016, 07:22 ==> 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. Answer: D _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Re: If x is 8/3 percent of y, y is what percent of x?  [#permalink]

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04 Oct 2016, 08:45
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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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18 Aug 2018, 19:52
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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19 Aug 2018, 00:46
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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