arijitb1980 wrote:

Hello Guys,

I am new to GMAT preparation so need some help from you veterans .I cannot understand this question.As per my understanding x% of x% of any number is always less than x% of that number.For example, 10% of 10% of 100 : Since there is no bracket ,I can start from the left hand side .10% of 10% is 1% . 1% of 100 is 1. Now to the second part ...x% less than y,which means 10% less than y,which is nothing but 90.So 1 is always less than 90 .

Obvously I have got it all wrong ,but I cannot interpret it in any other manner .Please help .

Regards,

arijitb1980

From your computations it is clear that

x cannot be 10. But it doesn't mean that there is no value of

x for which the equality holds.

Translating the question into an equation: is

\frac{x}{100}*\frac{x}{100}y=(1-\frac{x}{100})y?

(1) If

y=0, then the equality certainly holds.

Dividing through by

y, the equation becomes

x^2+x-10,000=0.You can solve this quadratic and the positive root is approximately

61.8.So, here is the answer: for

x=61.8,

x% of

x% of

y is

x% less than

y.Sufficient.

(2) We can deduce that

y\neq0 but we don't know anything about

x.Not sufficient.

Answer A

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