Yes you can safely carry your Laptop.
I would advice you to carry it in your handbag & do not forget to tell them that you are carryin your laptop with you.Also ask them to jot down in your passport that you are carrying your laptop.If you dont do so and when you return back to india,they will ask you why didnt you have it jotted down in your passport and may be they will charge you for that.
So its better to either carry the original bill with you or else have an entry in ur passport for carrying laptop.
Cheers,
KD