Question

Brody bought headphones online for $39. He used a coupon code to get a 20% discount. The website also applied a 10% processing fee to the price after the discount. Brody's headphones were less than the original price by what percent? Round to the nearest whole number.

Answer 1

Let the original price of the headphone be P

price after 20% discount has been deducted = P - 0.2P = 0.8P

processing fee = 10% of discounted price = 0.1 x 0.8P = 0.08P

total price paid for the headphone = 0.8P + 0.08P = 0.88P

this amount is equal to $39 (given from the question)

0.88P = 39

P = 39/0.88 = $44.318

Original price of the headphone = $44.318

differnce between original price and price bought = $44.318 - $39 = $5.318

in percentage,

we have

`\begin{gathered} (5.318)/(44.318)\text{ }*\text{ 100 = } \\ 11.9996\text{\%} \\ \approx\text{ 12\% (nearest whole number)} \end{gathered}`