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

Question

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

JeffTargetTestPrep · Accepted Answer

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.

Answer: D

BrentGMATPrepNow · Answer

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

Answer:  D

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abhimahna · Answer

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

or y = (300/8) *x = 3750% of x. Hence D

Bunuel · Answer

It's a Percents question, not Mixture problem. Edited.

MathRevolution · Answer

==> 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

Abhishek009 · Answer

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)

Pritishd · Answer

Given that  x = \frac{8}{3} % of  y  or  x = \frac{8}{3} * \frac{1}{100} * y

Solving the above equation yields  y = 37.5 x  (---->  1  )

Now, the question asks that  y  is what percent of  x ?
Let that unknown percentage value be  a% . Rephrasing the question to  y = \frac{a}{100} * x  (---->  2  )

Plugging the value of  y  from (---->  1  ) to (---->  2  )

37.5x = \frac{a}{100} * x

Dividing by  x  on both the sides and multiplying with  100  on both the sides

37.5 *100 = a

a = 3750%

Ans.  D

GMATGuruNY · Answer

Since the answer choices are spread out, we can BALLPARK by replacing  \frac{8}{3}  with  3 .

x is 3% percent of y: 
 \frac{x}{y} = \frac{3}{100}

y is what percent of x? 
 \frac{y}{x} * 100 = \frac{100}{3} * 100 = \frac{10000}{3} =  more than 3000

D

PolarisTestPrep · Answer

Hello,

It's useful to remember that "per cent" literally means per one hundred or out of one hundred so x percent is  \frac{x}{100}

When you see "percent" or the % symbol, you can take the number and put it over 100

Here we are told that x =  \frac{8}{3} %(y)

Put  \frac{8}{3}  over 100

\frac{8}{3}  / 100

When a fraction is divided by a fraction, you can take the fraction in the numerator and multiply it by the reciprocal of the fraction in the denominator

If  \frac{8}{3 }  is the numerator and  \frac{100}{1}  is the denominator, we get:

\frac{8}{3}   *  \frac{1}{100}  =  \frac{8}{300}

x =  \frac{8}{300} (y)

In that case, y =  \frac{300}{8} (x) when we divide both sides by  \frac{8}{300 }

\frac{300}{8}  =  \frac{150}{4}  =  \frac{75}{2}  = 37.5

y = 37.5x

How do we put this in percentage terms?

Well if per cent means divided by one hundred, what number is equal to 37.5 when divided by 100?

Set up an equation:

\frac{
37.5}{1} = \frac{a}{100}

a = 37.5 * 100 = 3,750

37.5 =  \frac{3,750}{100}  or 3,750%

Therefore, y = 3,750%(x)

The answer is (D)

GmatKnightTutor · Answer

What is y percent of x?  (y/x) times 100

Keep that as your target and do some algebraic manipulation:

" x is 8/3 percent of y"

x = (8/3) (1/100) (y)

After switching the stuff up and multiplying 100 on both sides you'll get

(300/8) times 100 = 3750

bumpbot · Answer

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

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

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