Sure, let's break down the solution step-by-step to find the percentage price increase from [tex]$38.50$[/tex] to [tex]$46.00$[/tex] for a 2 kg washing powder.
### Step 1: Understanding the Problem We need to determine how much the price has increased in percentage terms.
### Step 2: Identify the Initial and Final Prices - Initial price: [tex]$38.50
- Final price: $[/tex]46.00
### Step 3: Calculate the Actual Increase in Price To find out the actual increase in the price, subtract the initial price from the final price: [tex]\[
\text{Price Increase} = \text{Final Price} - \text{Initial Price}
\][/tex] Substituting the values: [tex]\[
\text{Price Increase} = 46.00 - 38.50 = 7.50
\][/tex]
### Step 4: Calculate the Percentage Increase The percentage increase is calculated by taking the price increase, dividing it by the initial price, and then multiplying by 100 to get a percentage. [tex]\[
\text{Percentage Increase} = \left( \frac{\text{Price Increase}}{\text{Initial Price}} \right) \times 100
\][/tex]
