whatever you do , dont go for old modle cars especially 2006,2007,2008 modle vitz , these cars have milage in lacs and are underpowered , have vibration issues , noisy engines ...
You have to decide either new or somewhat used jdm,
for new its a wagon R
and for used either a low milage alto /mira (jdm)
Now wagon R lacks safety features and will be manual , and not very good shape (no offence anyone), but it will be brand new and under warrenty , it should be good for a couple of years atlest
For JDM's (mira/alto newer modles) it should set you back 10 lacs , but these cars have good safety features as well as auto transmission , traffic jams are everywhere so it will be a good choice ,
bad points are 660cc engines , spare parts are expensive and you need to do alot of homework before you buy one of these cars as alot of them are major accidented and then repaired here removing all safety features to cut costs .
You should contact your nearest suzuki 3's to get an appointmet for a test drive of wagon R and see how you like the car , then decide after test driving a mira/alto.