PUNE, India — Play-Doh, Monopoly and practically all of Hasbro’s other toys were made in China for decades. Now Hasbro is changing course.

While the company still sources expensive, complex toys like the electronic FurReal Friends from China, Hasbro has contracts for production in Turkey, Indonesia, Vietnam and Mexico. It has moved most aggressively into India, where Hasbro buys from several sizable factories, and another is planned.

Multinationals around the globe have begun to look seriously at manufacturing in India, with its plentiful and inexpensive labor pool. But the investment doesn’t mean doing business in India is getting easier. Rather, it is a sign that doing business in China is getting more difficult.

The Hong Kong-based Musical Group decided to build the latest Hasbro factory in India after facing severe labor shortages and soaring wages at its main factory in southern China. But Musical, like many companies, is running headlong into India’s bureaucratic morass over land purchases, and the project is months behind schedule.