The products obtained from a reaction of hydrogen peroxide and acidified potassium permanganate are

Hydrogen peroxide acts as an oxidising as well as reducing agent in both acidic and alkaline media.

In this reaction ${\mathrm{MnO}}_4^{-}$ act as an oxidising agent and hydrogen peroxide acts as a reducing agent. The reaction is shown below,

$2{\mathrm{MnO}}_4^{-}+6{\mathrm{H}}^{+}+5{\mathrm{H}}_2{\mathrm{O}}_2\to 2{\mathrm{Mn}}^{2+}+5{\mathrm{O}}_2+8{\mathrm{H}}_2\mathrm{O}$