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The charging problem you describe has indeed been reported on numerous occasions and the response you received from Asus, to pay for a repair, could be jumping the gun and also potentially ignoring what may be a hardware issue. You also mentioned that you managed to get to 100% by using Blu-tack, which would suggest to us that there is an issue with the charging port, but then we consider that you can get the device to 40% so this adds more confusion. Here are some steps to run the battery down to 0% – make sure you have backed up your data first.

Charge it overnight and run it down to 0% again. This may help the software understand the true battery level better. Next, go to the Data Usage section in Settings, or install a third-party app that can do this, and check to see if any apps are using an extreme amount of data. Certain apps have been known to drain batteries very quickly and to even inhibit the charging process. If you are still stuck, borrow a new charging cable and see if that helps or risk buying an original spare from www.asusparts.eu. Outside of these options, you may have to consider the repair, but we would advise taking a firmer stance with Asus as well to see if that reaps rewards.