Hi Friend,
You can opt for a 5 nights/6 days golden triangle tour package. You will get to see the majestic forts and palaces of Jaipur, monuments in Delhi and the most precious Taj Mahal in Agra.
While you are back to Delhi( after 6 days) you can visit Golden Temple in Amritsar. Its just
466 kms from Delhi. You can hire private cab service and reach there in about 9.32 hours. Another option lies in boarding Shatabdi train from New Delhi Railway Station.
Get more info on:
http://www.goldentriangleindia.com/golden-triangle-tours/