The Chini ka Rauza was built in 1639 by Mullah Shukhrulla Shirazi or Allama Afzal Khan, the prime minister of Shahjahan; he built the tomb for himself, following a tradition used by several others. Where Afzal Khan differed was in the architectural style he chose, a combination of Persian and Afghan styles.
The Chini ka Rauza is named for the 'chini' ('porcelain' or tilework) that decorates it. When you approach the tomb from the road in front, the facade looks very shabby, with only very scattered bits of tiles in various shades of blue visible. But persevere; go around to the sides, and you'll see a lot more tilework, with lovely colours and intricate detailing.
While the inside of the tomb looks unprepossessing from outside, it's worth it to go inside: there's some lovely painting and vaulted netting on the inside of the dome.
No entry fees are charged for Chini ka Rauza.