It can depend on what is included in your contract. Some landlords may include some bills within your monthly contract.
If your contract does not include bills you can expect to pay anywhere between £30 – £50 per month as a guideline on top of your rent. This will usually cover gas, electricity, water, internet and a tv licence.
Please remember: this cost is approximate and will depend on the number tenants in your property and how much of these utilities you use.