The 26-year-old, who took a break from the circuit after Wimbledon and was since then losing points, made it to the quarterfinals of last week's Tour event in Atlanta, which helped him gain places.
In the ATP doubles ranking, there was no change in the positions of Mahesh Bhupathi (5), Leander Paes (8) and Rohan Bopanna (10).
The pair of Paes and Bhupathi is at number four in the team rankings, while Bopanna and Aisam-ul-haq Qureshi remained at number six.
In the WTA rankings, Sania Mirza jumped two places to be 62 in singles, while she maintained her 11th position in the doubles.
Sania's team ranking with Russian Elena Vesnina is also intact at number two in race to year-end championship.
Sania-Elena pair have 4506 points in the list headed by Kveta Peschke and Katarina Srebotnik, who have 6865 points. The top-four pairs compete in the prestigious year-end championship.