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# If y > 0 and x is y percent of y, then, in terms of y, y is what

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Senior Manager
Joined: 14 Oct 2015
Posts: 252
GPA: 3.57
If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

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22 Jul 2017, 00:08
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If y > 0 and x is y percent of y, then, in terms of y, y is what percent of x ?

A - $$\frac{1}{y}$$

B - $$\frac{1}{100y}$$

C - $$100y$$

D - $$\frac{10000}{y}$$

E - $$\frac{1}{10000y}$$

I searched but i could only find similar questions, not this exact one. If its a repost, please feel free to merge.

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Joined: 06 Jul 2016
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Concentration: Strategy, Finance
If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

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22 Jul 2017, 00:33
1
jedit wrote:
If y > 0 and x is y percent of y, then, in terms of y, y is what percent of x ?

A - $$\frac{1}{y}$$

B - $$\frac{1}{100y}$$

C - $$100y$$

D - $$\frac{10000}{y}$$

E - $$\frac{1}{10000y}$$

I searched but i could only find similar questions, not this exact one. If its a repost, please feel free to merge.

We can solve it 2 ways, either by plugging values, or doing algebra.

x = $$\frac{y^2}{100}$$

y = $$\frac{a}{100}$$*x
=> a = $$\frac{y*100}{x}$$
=> a = $$\frac{10000}{y}$$

Alternatively.

Let y = 100
100% of 100 = 100 = x
100 = a% of 100
=> a = 100
So we can plug values of y in the given options below to see which one works.

A - $$\frac{1}{100}$$ - NO
B - Even Smaller - NO
C - 100*100 - NO
D - $$\frac{10000}{100}$$ = 100 - YES
E - NO its way too small.

D is the answer.
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Re: If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

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22 Jul 2017, 01:06
jedit wrote:
If y > 0 and x is y percent of y, then, in terms of y, y is what percent of x ?

A - $$\frac{1}{y}$$

B - $$\frac{1}{100y}$$

C - $$100y$$

D - $$\frac{10000}{y}$$

E - $$\frac{1}{10000y}$$

I searched but i could only find similar questions, not this exact one. If its a repost, please feel free to merge.

x is y percent of y

i.e. x = (y/100)*y = y^2/100

y is what percent of x
let y is a percent of x
i.e. y = (a/100)*x
i.e. a = 100y/x = 100y/[y^2/100] = 10000/y

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Posts: 47946
Re: If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

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22 Jul 2017, 02:00
jedit wrote:
If y > 0 and x is y percent of y, then, in terms of y, y is what percent of x ?

A - $$\frac{1}{y}$$

B - $$\frac{1}{100y}$$

C - $$100y$$

D - $$\frac{10000}{y}$$

E - $$\frac{1}{10000y}$$

I searched but i could only find similar questions, not this exact one. If its a repost, please feel free to merge.

This is a copy of the following OG question: https://gmatclub.com/forum/if-m-0-and-x ... 03387.html
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Posts: 534
Re: If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

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22 Jul 2017, 03:02
x is y percent of y
x = (y/100)*y = y^2/100

let y is a percent of x
y = (a/100)*x
a = 100y/x = 100y/[y^2/100] = 10000/y

ans D
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Joined: 06 Feb 2017
Posts: 26
Schools: ISB '19, IIMA
If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

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22 Jul 2017, 04:07
it is given that x is y percent of y, so lets assume x=25 and y=50. So we get, 25(i.e. x) is 50%(i.e. y%) of 50(i.e. y).
Now clearly y is 200% of x. Put the values of x and y in options and select the one which gives 200 as answer. Only option D will fit.
Hence D
Manager
Joined: 23 Jul 2015
Posts: 162
Re: If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

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22 Jul 2017, 05:53
x = y%*y
=y/100 * y (here y/100 is the multiplier)
y = (100/y) * x ( where, 100/y is the multiplier)
y = (100/y)*x * 100 (convert to percent unit)
y = (10000/y) % of x
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Joined: 22 May 2016
Posts: 1903
If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

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23 Jul 2017, 06:54
1
jedit wrote:
If y > 0 and x is y percent of y, then, in terms of y, y is what percent of x ?

A - $$\frac{1}{y}$$

B - $$\frac{1}{100y}$$

C - $$100y$$

D - $$\frac{10000}{y}$$

E - $$\frac{1}{10000y}$$

I chose numbers, and chose y = 20 so that I could avoid working with values similar to those in the answer choices.

Let y = 20. x is y percent of y. x is 20% of 20

x = .2 * 20
x = 4

y is what percent of x?

$$\frac{y}{x}$$ * 100 =

$$\frac{20}{4}$$ = 5 * 100 = 500%

We're looking for the answer that yields 500 when y = 20.

(I used the percent sign in calculations, but only to keep values clear. When looking for the answer, I look only for the raw number of 500 because "percent" is included in the prompt's final clause. In other words, don't tack on an extra "times 100.")

Answer choices A, B, and E can be eliminated immediately. They are fractions with 20 in the denominator, which are tiny regardless and tiny when compared to 500.

C. 100y: too large. 20 * 100 = 2,000. Eliminate

D. $$\frac{10,000}{y}$$ = $$\frac{10,000}{20}$$ = 500. Correct.

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Re: If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

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24 Jul 2018, 22:06
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Re: If y > 0 and x is y percent of y, then, in terms of y, y is what &nbs [#permalink] 24 Jul 2018, 22:06
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