The answer is

10FeSO₄ +2KMnO₄ +8H₂SO₄ -----------> 5Fe₂(SO₄)₃ +K₂SO₄  + 2MnSO₄ +8H₂O

step 1

Fe⁺² -------> Fe⁺³ + e          ...(1)   

Mn⁺⁷ + 5e -----> Mn⁺²        ...(2)

Now,

5  (1) + (2)

5Fe⁺²  + Mn⁺⁷-------> 5Fe⁺³ + Mn⁺²

or,

FeSO₄ + KMnO₄  -----------> 5/2Fe₂(SO₄)₃ +MnSO₄

balancing for sulphate ions and oxygen, we get the final equation.