Amazon Now to Prime Now as it looks to offer more benefits to Prime members. With Prime Now, Amazon will provide exclusive Express 2-hour delivery to Prime members anytime between 6am to 12am (midnight) + Rs. 30 Shipping charge for prime user. Amazon has launched its online grocery store currently only in Bengaluru, Hyderabad, Mumbai and Delhi only. Buy groceries & get Rs.150 cashback in form of Amazon Pay balance .