Question

Write an equation and a solution to the following question:

An article sells for $415.80. You wish to discount it by 20%. At what price will you offer it after the discount?

Answer 1

To find the price after applying a 20% discount on the article that sells for $415.80, we start by determining how much the discount amounts to and then subtract that from the original price.

1. **Calculate the discount:**
Discount = Original Price × Discount Rate
\[
\text{Discount} = 415.80 \times 0.20
\]

2. **Calculate the discounted amount:**
\[
\text{Discount} = 415.80 \times 0.20 = 83.16
\]

3. **Determine the price after the discount:**
Price after discount = Original Price - Discount
\[
\text{Price after discount} = 415.80 - 83.16
\]

4. **Calculate the final price:**
\[
\text{Price after discount} = 332.64
\]

Thus, the equation we used is:

\[
\text{Price after discount} = 415.80 - (415.80 \times 0.20)
\]

**Final result:**
The price after applying a 20% discount will be **$332.64**.