Oh please, this is such an easy decision! It has to be India. The quality of the hotels are way above those of Egypt and the sights you will see, too. OK, the Sofitel in Cairo is OK, but it's nothing special.

India is also much safer right now. The only thing I would change is at the end of your trip, don't stay at the Oberoi Gurgaon, but stay at its sister property next door, The Trident Gurgaon - it is MUCH MUCH better - better design, smaller, more intimate, better service, better food etc etc. Oberoi can book this for you, too.