2 KMnO4 (aq) + 5 H2O2 (aq) + 3 H2SO4 (aq) → 5 O2 (g) + 2 MnSO4 (aq) + K2SO4 (aq) + 8 H2O (l)
This is an oxidation-reduction (redox) reaction:
2 MnVII + 10 e- → 2 MnII (reduction)
10 O-I - 10 e- → 10 O0 (oxidation)
KMnO4 is an oxidizing agent, H2O2 is a reducing agent.
This is a gas evolution reaction, O2 is the formed gas.