There are various kind of reaction like combustion reaction, displacement reaction. So to solve this problem we must be knowing the displacement reaction. Displacement reaction is taking place over here
What is displacement reaction?
Displacement reaction is a reaction in which one atom replaces other atom from a molecule on the basis of reactivity strength. The element which on the top of reactivity series displace the element that is lying below to that reactive element
According to our question the balanced equation is
FeSO₄+Zn ZnSO₄+Fe(II)
Fe(NO₃)₂+Zn Zn(NO₃)₂+Fe(II)
In both reaction Zn is more reactive than Fe(II) and Fe(III) that is why Zn replace or displace iron ion from its compound of sulfate and nitrate. Metal displace metals. anions are displaced by anions. So, here metal is displaced by zinc.
Thus we can conclude that zinc is more reactive than iron Fe(II) and Fe(III). Displacement reaction is taking place over here
Hope this helps!