MacBook shuts down with 60% battery
Solution 1:
This is not normal, shutdown the laptop and the press the Power Button and hold down Command + Alt/Option + P + R. Hold these buttons for around 20 seconds. This might fix the issue.
I had the same issue on a MacBookPro10,1 (15" Retina, Mid 2012) and reseting the NVRAM fixed it for me.
If that does not fix it, it might be a worth a trip to the Apple Store.