How do I find the original price of an item after a 15% discount?

Answer 1

To find the original price of an item after a 15% discount, you can use the formula for calculating the original price from the sale price. Here's how you can do it step by step:

1. Let the original price be \( P \).
2. After a 15% discount, the sale price becomes \( P - 0.15P = 0.85P \).
3. If you know the sale price (let's call it \( S \)), you can set up the equation: \[ S = 0.85P \]
4. To find the original price \( P \), rearrange the equation: \[ P = \frac{S}{0.85} \]

Example:

If the sale price of an item is $85, you would calculate the original price as follows:

\[ P = \frac{85}{0.85} \approx 100 \]

So the original price would be approximately $100.