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

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New post 10 Jul 2015, 01:42
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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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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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New post 10 Jul 2015, 02:28
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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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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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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New post 10 Jul 2015, 04:44
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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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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New post 11 Jul 2015, 09:53
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
Answer 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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New post 11 Jul 2015, 17:11
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

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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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New post 12 Jul 2015, 00:06
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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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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New post 13 Jul 2015, 02:00
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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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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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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