If x, y and z are positive integers, is x% of y bigger than

Question

If  x ,  y , and  z  are positive integers, is  x\%  of  y  greater than  y\%  of  z ?

(1)  x = z 
 
(2)  z - y = y - x

M11-33

Vips0000 · Accepted Answer

Probably this approach of solving the question should help you understand:

x% of y is bigger than y% of z

essentially question is asking whether
xy >yz
or xy-yz >0
or y(x-z) >0 ? ->Lets call it 'The question statement' or TQS

We know that x, y and z are positive integers. Therefore y >0 and hence we would be able to answer if we know about (x-z) [Sign or Value either should do]

1. x=z

Putting in TQS we can see y(x-z) = y* 0 = 0. so we know the relation x% y = y% z. Therefore SUFFICIENT

2. z-y = y-x
or (z+x) =2Y

So we know z+x is positive (But we already knew it since X and Z both are positive) However we still do not know about x-z. Therefore we do not know about TQS. Therefore , INSUFFICIENT.

So Ans is "A"

skpMatcha · Answer

No where is it mentioned,nor can you deduce that x < y < z,

Stmt B says Z –y = y - x

which means y is equidistant from x and z

could be

z.................y..............x
or
x............y................z

So InSUFF

ctiger100 · Answer

How is it possible that Z-Y=Y-X if X=Z according to (1)? I read somewhere 1 and 2 can't conflict on DS questions

If z and x are equal, you'd get a negative on one side of the equation and a positive on the other side... Just saying (1) x=z conflicts with 
(2) z - y = y- x unless they are all zero, but that isn't possible since the question says they're positive.

IanStewart · Answer

The statements are not contradictory here; they can both be true if x=y=z. For example, if x = y = z = 6, you'll find that both statements are true, and these values agree with the restrictions in the question itself.

Bunuel · Answer

If  x ,  y , and  z  are positive integers, is  x\%  of  y  greater than  y\%  of  z ? 
 
The question essentially asks: is  \frac{x}{100} * y > \frac{y}{100} * z ? Given that  y  is a  positive  integer, we can safely divide both sides by  \frac{y}{100} . Thus, the question simplifies to: is  x > z ?  It's important to note that the answer does not depend on the value of  y . 
 
(1)  x=z . 
 
The answer to the question is NO. This is sufficient.
 
(2)  z-y=y-x . 
 
If we rearrange, we get  x+z=2y . This doesn't provide enough information to determine whether  x > z . Thus, it's insufficient.

Answer: A

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If x, y and z are positive integers, is x% of y bigger than

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GMAT Data Sufficiency (DS) Questions

If x, y and z are positive integers, is x% of y bigger than

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