The affected passengers were being attended by the doctors at the airport.
This has prompted an investigation by the aviation ministry who have suspended the cockpit crew while it gathers facts.
"I was sitting on an aisle seat when suddenly air pressure in the cabin dropped and oxygen masks came down", passenger Prashant Sharma told India's PTI news agency.
Hathi also said there was a problem with the plane's air conditioning after it took off from Mumbai.
It was carrying 166 passengers and five crew members. All guests were deplaned safely. "First aid was administered to few guests who complained of ear pain, bleeding nose etc", the spokesperson also added.
On Twitter, some passengers gave a report of their experiences while on the flight.
Civil Aviation Minister Suresh Prabhu Thursday ordered a safety audit of all scheduled airlines and airports, amid recent incidents related to safety of passengers.
Raj Sivakumar, senior vice-president for sales & distribution said the decision comes from the fact that guests, especially the millennials, wish to be empowered and exercise their right of choice and globally service models in the airlines' space change every day. The Boeing 737 aircraft returned to Mumbai from half way because the crew had forgot to switch the "maintain cabin pressure" button.
Meanwhile, the crew has been taken off duty and Aircraft Accident Investigation Bureau (AAIB) has started an investigation, the Directorate General of Civil Aviation (DGCA) informed. In a statement, Jet Airways spokesperson said, "Jet Airways is extending full cooperation to the DGCA for the ongoing investigation of the event. This is an unfortunate incident".