To calculate the original price of the iPod before the discount was given, we need to reverse engineer the discount percentage.
Let's denote the original price of the iPod as \( P \).
Given:
- The iPod was sold for R2,200 after a 20% discount had been given.
We know that the selling price (\( S \)) is given by:
\[ S = P - \text{Discount} \]
Given that the discount is 20% of the original price (\( P \)), the discount amount is:
\[ \text{Discount} = 0.20 \times P \]
Substituting the given values into the equation for the selling price:
\[ 2200 = P - 0.20 \times P \]
Now, let's solve for \( P \):
\[ 2200 = P - 0.20P \]
\[ 2200 = 0.80P \]
Divide both sides by 0.80:
\[ P = \frac{2200}{0.80} \]
\[ P = 2750 \]
Therefore, the original price of the iPod before the discount was given was R2,750.
