The company, which sells various popular brands including A3 sedan and Q5 sports utility vehicle, posted a growth of 15 per cent in the January-March quarter at 3,139 units as against 2,740 units in the year-ago period.
Audi posted a record sales in 2014-15 by selling 11,292 units, up 11.51 per cent, from 10,126 units sold in 2013-14.
"We had good response to our products in 2014-15 but due to supply constraints, we could not sell more here in India," Audi India head Joe King told PTI.
He further said: "We had a fantastic first quarter in 2015 as well. We are looking forward to the new year to maintain our leadership. In the next five months, we will have five new launches."
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The company will launch the new Audi TT model in India this month to kick off its 10 new product introductions planned for this year.
King said the company is yet to finalise on its next round of investments in India to expand business and double sales to 20,000 units by 2018.