A visitor enjoys an ice cream on the sea front | Peter Macdiarmid/Getty Images Price of ice cream ‘will go up’ after Brexit Unilever boss says import duties would push up dairy costs.

Brits will have to pay more for ice cream in the event of a Brexit, the boss of Unilever warned Tuesday.

Channel 4 News got the scoop when it spoke to Paul Polman, the firm's chief executive. He said import duties on dairy products would go up significantly if the U.K. votes to leave the European Union in the June 23 referendum.

"Take one of our ... products, Magnum," Polman said, sending a (raspberry) ripple through the Brexit debate. "If you have trade restrictions, because undoubtedly if the U.K. will leave the conditions will not be as good as if they stay in. That is a fact that I think is broadly accepted."

"How does that affect ice cream?" asked Channel 4 News anchor Jon Snow.

The CEO of Unilever Paul Polman talks to @JonSnow about how Brexit could hit the price of ice creamhttps://t.co/AcSIjNt5tX — Channel 4 News (@Channel4News) June 7, 2016

Polman's chilling response was: "For example, you will have import duties on dairy; anybody from outside the EU has import duties that could be up to 40-50 percent. So the price of dairy products will go up, the price of ice cream will go up, and ultimately the consumer will pay the price for that."

The rocky road to the referendum continues Tuesday night when Prime Minister David Cameron and UKIP leader Nigel Farage appear in a TV debate, although they won't appear face-to-face.

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