The counsel appearing on the behalf of the firm submitted before Metropolitan Magistrate Vaibhav Mehta that the notices (challans) were not properly issued.
Advocate Sushmit Pushkar told the court that the firm was contesting the challans as its taxis did not fall under the purview of the Delhi government but under the Centre.
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The firm also submitted that a similar case against taxi aggregators not having valid licences was pending before the Delhi High Court.
The court has now fixed the case for further hearing on July 23.
The Delhi government had issued challans to Kalanick, Uber India president Amit Jain and general manager for North India operations Gagan Bhatiya for alleged violation of the Motor Vehicles Act.
The challans were issued under the section of Motor Vehicles Act prohibiting soliciting or canvassing customers for taxis which do not have state government licenses.
Later, a city court had issued notices to them to appear before it.