Tata Motors' sales fell about 42 per cent to 6,537 units last month.
Total sales of commercial vehicles were down 25.53 per cent to 46,757 units.
The company's commercial vehicle sales dropped 45.83 per cent to 25,738 units.
Before joining Tata Motors, Slym was the executive vice president, SGMW Motors, China (a General Motors Joint Venture).
Prior to that, he was president, managing director and board member of General Motors in India during 2007-11.
For over two decades, Slym was with Toyota and General Motors in various positions across geographies.