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# For positive x and y if x/y is n% of y, then what percent must x be of

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Math Expert
Joined: 02 Sep 2009
Posts: 56257
For positive x and y if x/y is n% of y, then what percent must x be of  [#permalink]

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10 Jul 2015, 02:42
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For positive x and y if x/y is n% of y, then what percent must x be of y?

A. (y × n)%
B. (n/y)%
C. (√n)%
D. (n^2)%
E. (100 – n)%

Kudos for a correct solution.

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Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: For positive x and y if x/y is n% of y, then what percent must x be of  [#permalink]

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10 Jul 2015, 03:28
Bunuel wrote:
For positive x and y if x/y is n% of y, then what percent must x be of y?

A. (y × n)%
B. (n/y)%
C. (√n)%
D. (n^2)%
E. (100 – n)%

Kudos for a correct solution.

No calculations required..
it is given that x/y=ny/100...
and x % of y is nothing but RHS *100=n*y..
ans A
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Joined: 26 Dec 2011
Posts: 115
Schools: HBS '18, IIMA
Re: For positive x and y if x/y is n% of y, then what percent must x be of  [#permalink]

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10 Jul 2015, 05:44
2
Bunuel wrote:
For positive x and y if x/y is n% of y, then what percent must x be of y?

A. (y × n)%
B. (n/y)%
C. (√n)%
D. (n^2)%
E. (100 – n)%

Kudos for a correct solution.

Solution -

The statement x/y is n% of y means that: x/y = (n / 100) × y

In order to find what percent must x be of y i.e., we need to divide x by y.

x/y %=(n / 100) × y *100 ---->(y*n)%

Therefore x/y is (y*n)%
ANS A
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Director
Joined: 21 May 2013
Posts: 655
Re: For positive x and y if x/y is n% of y, then what percent must x be of  [#permalink]

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11 Jul 2015, 10:53
Bunuel wrote:
For positive x and y if x/y is n% of y, then what percent must x be of y?

A. (y × n)%
B. (n/y)%
C. (√n)%
D. (n^2)%
E. (100 – n)%

Kudos for a correct solution.

Given that x/y=n/100*y
Therefore, x/y*100=ny
Manager
Joined: 26 Dec 2012
Posts: 145
Location: United States
Concentration: Technology, Social Entrepreneurship
WE: Information Technology (Computer Software)
Re: For positive x and y if x/y is n% of y, then what percent must x be of  [#permalink]

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11 Jul 2015, 18:11
1
given that x/y = n% *y
question is asking x/y =what %; therefore from above equation we can very straightforwardly say that x/y =n*y %
hence answer is A

Thanks,
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For positive x and y if x/y is n% of y, then what percent must x be of  [#permalink]

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12 Jul 2015, 01:06
1
Bunuel wrote:
For positive x and y if x/y is n% of y, then what percent must x be of y?

A. (y × n)%
B. (n/y)%
C. (√n)%
D. (n^2)%
E. (100 – n)%

Kudos for a correct solution.

Let, x = 5
and y = 5
i.e. x/y = 1 i.e. 20% of y
i.e. n = 20

Now since x is 100% of y therefore the correct option should result in the value 100 for n=20

A. (y × n)% = 5*20 = 100 CORRECT

B. (n/y)% = 20/5 is NOT 100 INCORRECT

C. (√n)% = $$\sqrt{20}$$ is NOT 100 INCORRECT

D. (n^2)% = 20^2 = 400 is NOT 100 INCORRECT

E. (100 – n)% = 100-20 = 80 is NOT 100 INCORRECT

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Math Expert
Joined: 02 Sep 2009
Posts: 56257
Re: For positive x and y if x/y is n% of y, then what percent must x be of  [#permalink]

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13 Jul 2015, 03:00
Bunuel wrote:
For positive x and y if x/y is n% of y, then what percent must x be of y?

A. (y × n)%
B. (n/y)%
C. (√n)%
D. (n^2)%
E. (100 – n)%

Kudos for a correct solution.

800score Official Solution:

The statement x/y is n% of y means that:
x/y = (n/100) × y
x = y × (y × n / 100)
Therefore x is (y × n)% of y.

The right answer is choice (A).
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Re: For positive x and y if x/y is n% of y, then what percent must x be of  [#permalink]

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21 Dec 2018, 16:46
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Re: For positive x and y if x/y is n% of y, then what percent must x be of   [#permalink] 21 Dec 2018, 16:46
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