I am in this situation :
Applied for Canadian Passport ( not received yet) and yet have Indian Passport.
Need to travel to India because father is sick. Can i travel and how can i come back?
When did you apply for your passport? When are you traveling? Where did you apply?
If you applied at a Passport Canada office (NOT a Service Canada office), you will get your passport about two weeks after application (easter holidays might delay things marginally). If you really can't wait until it arrives, you could go to a Passport Canada office and talk to to them, that you already applied but that you would now need the passport urgently. If they haven't started producing your passport yet, they might allow you to pay the surcharge for an express passport, being produced within 24 hours.
Regarding the Indian passport, check the forum regarding if you can still use it or if you must surrender it immediately. I would defer for people with experience.