2 KMnO4 (aq) + 5 Zn (s) + 8 H2SO4 (aq) → 2 MnSO4 (aq) + 5 ZnSO4 (aq) + K2SO4 (aq) + 8 H2O (l)
This is an oxidation-reduction (redox) reaction:
2 MnVII + 10 e- → 2 MnII (reduction)
5 Zn0 - 10 e- → 5 ZnII (oxidation)
KMnO4 is an oxidizing agent, Zn is a reducing agent.