Step 1: Nature of potassium sulphate.
Potassium sulphate (K$_2$SO$_4$) is composed of potassium cations (K$^+$) and sulphate anions (SO$_4^{2-}$). These oppositely charged ions are held together by strong electrostatic forces of attraction.
Step 2: Classify the solid.
- Ionic solids consist of cations and anions arranged in a lattice structure.
- Metallic solids consist of metal atoms with delocalized electrons.
- Covalent solids consist of atoms held together by covalent bonds in a network structure.
- Molecular solids consist of molecules held by weak van der Waals forces or hydrogen bonding.
Step 3: Conclusion.
Since K$_2$SO$_4$ is made up of ions and held together by ionic bonds, it is classified as an ionic solid.
Final Answer:
\[
\boxed{\text{(A) Ionic solid}}
\]