I recently blogged a really simple guide on how you can easily root the Samsung Galaxy S Duos (model number S7562). The method uses ODIN flashing tool. It will also help you flash CWM to your device so that you can take nandroid backups and flash ZIPs easily. As directed by the mods, I am adding a shorter version of the guide here, don't have the time to type it down all again (and I don't like ctrl+v). You an always refer to the full guide.
Download S Duos rooting kit: http://d-h.st/BtL
Install drivers using kies
Boot into downloading mode by pressing Vol down + Power + Home button when you are switched off.
Open odin from the rooting kit and using odin, flash recovery.tar file (also present in rooting kit)
Just as the phone vibrates (after the flashing process completes) to reboot, eject the battery to prevent stock recovery from overwriting the cwm we just flashed.
Boot into cwm and flash cwm-superuser-3.1.3.zip file (again, present in the rooting kit)
Reboot your device and enjoy your rooted S DUos.
If you are an Android newbie, check out What rooting is?
Disclaimer: You and only you are responsible for whatever happens to our device during or after the procedure.
You just have to download a rooting kit which contains odin, superuser, CWM recovery and the stock recovery. After you have installed the drivers for your device on your PC, cwm is flashed via odin. And finally, flashing superuser.zip using the clockwork mod recovery will root your phone.
A simple note in the guide makes it easy for you to unroot the device. It even includes the stock recovery image which can be flashed in case you want to restore your warranty.
What are you waiting for, give the tutorial a try now.
Don't forget to press the thanks button, if the tutorial works out for you.