President Park Geun-hye left for India on Wednesday on a trip aimed at opening the world's second-most populous nation wider to South Korean businesses and laying the foundation for winning construction projects in a nation with a massive demand for infrastructure. The four-day state visit to New Delhi is part of a weeklong trip that will later take her to Switzerland for a state visit to the capital of Bern and then to the Swiss ski resort of Davos for an annual meeting of global business leaders and politicians.