a store purchased a digital camera and marked it up 100% from the original cost of $863.57. a week later…

a store purchased a digital camera and marked it up 100% from the original cost of $863.57. a week later, the store placed the digital camera on sale for 40% off. what was the discount price?

a store purchased a digital camera and marked it up 100% from the original cost of $863.57. a week later, the store placed the digital camera on sale for 40% off. what was the discount price?

Answer

Explanation:

Step1: Calculate the marked - up price

The original cost is (C = 86.37). A (100%) mark - up means the new price (P_1) is (P_1=(1 + 100%)\times86.37). Since (100%=\frac{100}{100}=1), then (P_1=(1 + 1)\times86.37=2\times86.37 = 172.74).

Step2: Calculate the discount price

The discount is (40%). The price after discount (P_2) is (P_2=(1-40%)\times P_1). Since (40%=\frac{40}{100}=0.4), then (P_2=(1 - 0.4)\times172.74=0.6\times172.74 = 103.644\approx103.64).

Answer:

(103.64)