Pallikal posted gains after a strong showing in the US Open last month while Chinappa rose in the ranking charts following a stunning win over world number one Raneem El Welily in Doha two days ago.
In the men's section, Saurav Ghosal dropped a place to be 17th.
The only other Indian nearby in the list was Mahesh Mangaonkar, who stood at 57th spot.
