Battery cutting out

Hello, please help - my battery is showing as normal and showing charged. However, my macbook switches off if not connected to a power source. I cannot switch it on without charger being connected. It attempts to switch on (you hear the start up apple noise) then display goes blank and power cuts out.

What can i do to fix this?

Thanks

I have included some information for you to see -

Battery Information:

Model Information:

Manufacturer: DP

Device name: ASMB016

Pack Lot Code: 0002

PCB Lot Code: 0000

Firmware Version: 102a

Hardware Revision: 0500

Cell Revision: 0102

Charge Information:

Charge remaining (mAh): 4406

Fully charged: Yes

Charging: No

Full charge capacity (mAh): 4410

Health Information:

Cycle count: 331

Condition: Normal

Battery Installed: Yes

Amperage (mA): 0

Voltage (mV): 12539

System Power Settings:

AC Power:

System Sleep Timer (Minutes): 10

Disk Sleep Timer (Minutes): 10

Display Sleep Timer (Minutes): 10

Automatic Restart On Power Loss: No

Wake On AC Change: No

Wake On Clamshell Open: Yes

Wake On LAN: No

Current Power Source: Yes

Display Sleep Uses Dim: Yes

Battery Power:

System Sleep Timer (Minutes): 10

Disk Sleep Timer (Minutes): 10

Display Sleep Timer (Minutes): 2

Wake On AC Change: No

Wake On Clamshell Open: Yes

Display Sleep Uses Dim: Yes

Reduce Brightness: Yes

Hardware Configuration:

UPS Installed: No

AC Charger Information:

Connected: Yes

ID: 0x0100

Wattage (W): 60

Revision: 0x0000

Family: 0x00ba

Serial Number: 0x001a98ea

Charging: No