A shopper plans to purchase an item that has a listed price greater than \$ 100 and can use any one of three coupons. Coupon A gives 15 \% off the listed price, Coupon B gives \$ 30 off 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 \mathrm{B} or \mathrm{C}. What is y-x ?

**Answer Choices**

A. 50

B. 60

C. 75

D. 80

E. 100