Given are two statements:
Statement (I): Fusion of \( \mathrm{MnO_2} \) with \( \mathrm{KOH} \) and an oxidizing agent gives dark green \( \mathrm{K_2MnO_4} \).
Statement (II): Manganate ion electrolytic oxidation in alkaline medium gives permanganate ion.
In the light of the above statements, choose the correct answer from the options given below;