I visited jaipur when I was 18 and it is a wonderful place .Jaipur is the capital of rajasthan and it is the largest city in rajansthan. It is aslo known as the pink city.
The name pink city came from the walls of the city where almost all the walls are painted in pink.
The city has a very vell developed transport facility and all the trains and busses are well connected with rest of the places.
There are may forts in jaipur and those are the most visited a d must visit places here.
You can go to delhi and take a bus from there and can reach delhi. Plan a trip for 2-3 days and my advise is that you should go for a package which are available online.