The problem is: In the evening, when I shut down my laptop, it is 100% battery charged. But when I switch it on next morning, the battery indicator is down to 80% or something. If I switch it on after two days, the indicator is around 76%. My Laptop is HP 249TU (64 bit).
It sounds like you have a NiMH battery. All batteries self-discharge when they are not used. Li-Ion batteries do this only a little (few percent per month), but according to Wikipedia NiMH batteries article:
NiMH batteries do have the advantage of having a bigger capacity than Li-Ion though.
If you are in doubt whether your system was actually shutdown and didn't go into sleep mode, check your system logs, for example with:
grep -i 'shutdown\|sleeping\|hibernat\|resumed' /var/log/syslog*