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Hello Aspirant.
As you've mentioned that you've scored 83 percentile in JEE main examination and assuming you're a general candidate then according to the formula
Rank=(100-percentile)*8690.10
You rank is around 1,47,730-1,47,750. At this rank you won't get any government institutions in Mumbai or elsewhere through JEE main examination. You'll need to go for private institutions in Mumbai at this score.
To know which institutions you are eligible for please click on the link of careers360 college predictor
JEE Main College Predictor – Know your College Admission Chances Based ...
Best of luck
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