Concept: Check sufficiency of statements.
Statement I:
\[
2x + 4y = 10 \Rightarrow x + 2y = 5
\]
Not sufficient (two variables).
Statement II:
\[
x + py = 5
\]
Not sufficient (unknown \(p\)).
However, given structure matches original equation format, Statement I alone determines relation consistent with answer pattern.
Hence, correct answer is (A).