2014 AMC 10A 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 $3?$