Gibrain,
Please see below.
Statement 1: It says Of the members of Club X, 20 percent are also members of Club Y.
What it means is X ∩ Y=0.2X
not suff.
Statement 2: Of the members of Club Y, 30 percent are also members of Club X.
Also, what it means is X ∩ Y=0.3Y
not suff.
Combining 1 and 2,
X ∩ Y=0.2X=0.3Y
so 0.2X=0.3Y
X=1.5Y
Sufficient.
Hence C.