Hi,
It’s a pretty straight forward question, where it requires basic word to math conversion knowledge.
Given: X and Y are two positive numbers.
Question: Is X > Y ?
Statement I is sufficient:
(X+Y)/2 > Y
X + Y > 2Y
So, X > Y.
It is sufficient.
Statement II is sufficient:
X is Z% less than the sum (X+Y), where Z is a positive number and Z < 40.
Converting to Math,
X = (X+Y) – Z%(X+Y)
X = (X+Y) – Z%(X+Y)
X = (X+Y)*(1-Z/100)
Given,
Z < 40
Lets assume for a moment, Z = 40
X = (X+Y) * (1-40/100)
X = (X+Y) * 3/5
Solving it we get,
5X = 3X + 3Y
2X = 3Y
X = 3/2 * Y
So, X > Y when we take Z = 40, taking Z further lesser value will have X > Y only.
So statement II is also sufficient.
So the answer is D.
Hope it is clear.
_________________
GMAT Mentors