Brother if u want to stick with 12" then no need to change the profile just stick with stock 145/80 R12 size which I do not recommend.
You can try 175/60 R13 it would not harm for 1 day you can get it replaced if u dont like it in future.
If the car is touching ground in 145/80 R12 size then something is wrong with your springs or shocks they are not damping well.
Cultus and Alto do not touch ground in Karachi (most of the time).