Attention, Amazon Prime Members Who Shop at Whole Foods: You’re in Luck

Some 60% of Whole Foods shoppers are Prime members eligible for new discounts and free delivery

It’s been a year since Amazon.com Inc. agreed to buy Whole Foods for $13.5 billion. The biggest beneficiaries of the deal might be Amazon Prime members.

Sky-blue signs advertising discounts for Prime members greet shoppers in some Whole Foods parking lots. Inside the stores, blue placards spotlight lower prices for Prime members on organic nectarines and sausage.

“Blue...