AMC 10A 2014 Problem 11

A customer who intends to purchase an appliance has three coupons, only one of which may be used:

Coupon 1: 10 \% off the listed price if the listed price is at least \$ 50

Coupon 2: \$ 20 off the listed price if the listed price is at least \$ 100

Coupon 3: 18 \% off the amount by which the listed price exceeds \$ 100

For which of the following listed prices will coupon 1 offer a greater price reduction than either coupon 2 or coupon 3 ?

Answer Choices
A. \$ 179.95
B. \$ 199.95
C. \$ 219.95
D. \$ 239.95
E. \$ 259.95