A shopper plans to purchase an item that has a listed price greater than $100 and can use any one of the three coupons. Coupon A gives 15% off the listed price, Coupon B gives $30 the listed price, and Coupon C gives 25% off the amount by which the listed price exceeds $100.Let x and y be the smallest and largest prices, respectively, for which Coupon A saves at least as many dollars as Coupon B or C. What is y\minus{}x?<spanclass=′latex−bold′>(A)</span>50<spanclass=′latex−bold′>(B)</span>60<spanclass=′latex−bold′>(C)</span>75<spanclass=′latex−bold′>(D)</span>80<spanclass=′latex−bold′>(E)</span>100