Depends on length: as far as we can tell from your description your load is not more than 4kw.
This gives us about 30 metres of 4 core 2.5mm SWA. Though why 4 core? If you are replacing the cable, 3 core 2.5mm would be the answer, assuming the run is less than 30m. Otherwise 4mm.
edit: Though I see your house MCB is rated at 32A, which is too high for 2.5mm cable. I would use 2.5mm and swap the MCB for 20A.
This gives us about 30 metres of 4 core 2.5mm SWA. Though why 4 core? If you are replacing the cable, 3 core 2.5mm would be the answer, assuming the run is less than 30m. Otherwise 4mm.
edit: Though I see your house MCB is rated at 32A, which is too high for 2.5mm cable. I would use 2.5mm and swap the MCB for 20A.