Arrive in Delhi. Transfer to your hotel.

Drive to Agra. Arrive and visit Agra fort. In the Evening you can see one play in the theatre to see live performance by artists and story on Tajmahal.

After breakfast get ready to explore the pink city Jaipur. Drive straight to Amber fort which lies 7km to the north of Jaipur. On the way stop to take the photo of wind palace & water palace. These two are the most photographed buildings in the Jaipur. Return to the city & visit city palace which is the official residence of maharaja of Jaipur. Along the way you will also get to see Jaipur artisans block printing & stone cutting.

Visit of Mumbai covering all the major monuments including Victoria terminal, Dhobi Ghat, Hanging Gardens, Chopati beach, Mani Bhawan and Prince of Wales Museum

Day free at leisure.

After breakfast transfer to airport to take a flight for Mumbai .

Visit of New Delhi. You can visit Qutab Minar, India Gate, drive past president house. 
Visit of Old Delhi. You can visit Jama mosque, a sikh temple, chandni chowk area, spice market & also enjoy a rickshaw ride in Old Delhi [paid directly]. 

Early morning visit Tajmahal. Return to your hotel for breakfast & then drive to Jaipur. On the way you can visit abhaneri stepwell [A hidden jewel off the beaten track]. You could also visit monkey temple if time permits you.

After breakfast transfer to airport to take a flight for Mumbai. Arrive & transfer to your hotel.

Drive to airport and flight for Goa. Arrive and check into your hotel. 
Relax. 

Day free at leisure.