COLOMBO, Sri Lanka — A little before 9 a.m. on Easter Sunday, Anders Holch Povlsen, the richest man in Denmark, was having breakfast with his family at the Table One restaurant in the Shangri-La Hotel in Sri Lanka’s capital, Colombo.

The restaurant was decorated with crates of oranges, apples and large, uncut pineapples, and the Povlsens looked out on the ocean rollers crashing into a sea wall not far away.

At the same time, Ilham Ibrahim, the son of one of Sri Lanka’s wealthiest spice traders, was heading down to Table One in an elevator. Wearing a baseball cap and a large backpack, he stepped into the elevator with a friend wearing the same thing. Right before the doors opened, CCTV shows, Mr. Ibrahim’s friend flashed him a long, white smile.

The two families, the Povlsens and the Ibrahims, were about to intersect.

One was a billionaire in dollars. The other, a billionaire in rupees. One built a fortune through jeans, turtlenecks and all kinds of hip clothing. The other, through white pepper, black pepper and all kinds of spices.