This may not look pretty but it saved the owner £65 for a new 45W Apple MagSafe Charger for their MacBook Air!
Firstly we identified the break in the charger’s cable (which was very close to the charger itself). We then stripped away the cable shielding around the broken area leaving enough bare cable to solder back together. We then used electrical tape to insulate the repaired lead.
The thick black electrical tape wrapping the charger that you can see in the picture is just to secure the soldered part of the cable to the charger so that further movement doesn’t weaken the joint again.