$$2010-AMC10B-11$$  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 ＄$$30$$ 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 $$B$$ or Coupon $$C$$. What is $$y- x$$?  购物者计划购买标价大于 ＄100 的商品，并且可以使用三种优惠券中的任何一种。 优惠券$$A$$ 优惠$$15$$ 元，优惠券$$B$$ 优惠$$30$$ 元，优惠券$$C$$ 优惠25\%，超过$$100$$ 元的优惠券。 设 X 和 Y 分别是最小和最大的价格，对于该价格，优惠券 A 至少节省与优惠券 B 或优惠券 C 一样多的美元。y-x 是多少？
选项为:A:$$50$$  B:$$60$$  C:$$75$$  D:$$80$$  E:$$100$$  请回答其中一个选项.