Question
Luke bought a pair of shoes online for $78. He used a coupon code to get a 40% discount. The website also applied a 20% processing fee to the price after the discount. How much was the processing fee? Round to the nearest cent.
Answers
GPT-4o mini
To find the processing fee on the shoes after applying the discount, we can follow these steps:
1. **Calculate the discount amount**:
Since Luke got a 40% discount on the original price of $78, we can calculate the discount as follows:
\[
\text{Discount} = \text{Original Price} \times \text{Discount Rate} = 78 \times 0.40 = 31.20
\]
2. **Calculate the price after the discount**:
We subtract the discount amount from the original price:
\[
\text{Price after discount} = \text{Original Price} - \text{Discount} = 78 - 31.20 = 46.80
\]
3. **Calculate the processing fee**:
The website applies a 20% processing fee to the price after the discount. We calculate the processing fee as follows:
\[
\text{Processing Fee} = \text{Price after discount} \times \text{Processing Fee Rate} = 46.80 \times 0.20 = 9.36
\]
Thus, the amount of the processing fee is **$9.36**.
1. **Calculate the discount amount**:
Since Luke got a 40% discount on the original price of $78, we can calculate the discount as follows:
\[
\text{Discount} = \text{Original Price} \times \text{Discount Rate} = 78 \times 0.40 = 31.20
\]
2. **Calculate the price after the discount**:
We subtract the discount amount from the original price:
\[
\text{Price after discount} = \text{Original Price} - \text{Discount} = 78 - 31.20 = 46.80
\]
3. **Calculate the processing fee**:
The website applies a 20% processing fee to the price after the discount. We calculate the processing fee as follows:
\[
\text{Processing Fee} = \text{Price after discount} \times \text{Processing Fee Rate} = 46.80 \times 0.20 = 9.36
\]
Thus, the amount of the processing fee is **$9.36**.