x% of x% of y

[mehravikas]

Is x% of x% of y equal to x% less than y ?

(1) x(x + 100) = 10,000
(2) y(y + 1) = 1

OA - A

[rainmaker]

x% of x% of y = x/100(x/100 * y) = x^2y/10000

x% less than y = y - (x/100 * y) = y - xy/100

Now from Condition 1:
x(x+100) = 10000
i.e. x^2 = 10000 - 100x

Multiplying each side by y and dividing by 10000 we get:

x^y/10000 = y - xy/100 (this is x% less than y)

So condition 1 is sufficient.

Now look at condition 2:
There is no mention of x, so it's not sufficient.

Answer: A