You might find it beneficial to explore how postcolonial criticism can be used to develop interesting insights into this brilliant short story. Anita Desai is an author whose works have been analysed through the lens of this theory, and her position as an Indian author who is writing about an India trying to cope with its colonial heritage makes her work particularly suitable for this theory. You might like to think about how the "death" and epiphany that Ravi experiences at the end of the story could be related to India's past colonial history and its own awakening to its new condition of independence.
The kind of literary criticism that in my opinion is the richest and most illuminating is called "close reading." This approach basically involves looking at every single word of a work (ideally) and asking yourself a simple question: what is the effect of this particular word and not some other word that the author could easily have chosen? Looking at a work in this way will help you realize that every work begins as a blank sheet of paper (or blank computer screen) and that every single word is a choice that has consequences for the entire meaning of the work. Even matters of punctuation are important, as in the famous examples "Let's eat grandma!" vs. "Let's eat, grandma!" Merely adding a comma changes the entire meaning of the words.
There are many types of literary criticism, and most can be applied to a variety of stories. Think of it as a lense through which you look at the story. Two that I might suggest to you are feminist theory and postcolonial theory, as those are quite common.