Questions: The price of an item yesterday was 180. Today, the price rose to 207. Find the percentage increase. %

Solution Steps

To find the percentage increase in the price of an item, we can use the formula for percentage change:

\[ \text{Percentage Increase} = \left( \frac{\text{New Price} - \text{Old Price}}{\text{Old Price}} \right) \times 100 \]

In this case, the old price is \$180 and the new price is \$207. We will plug these values into the formula to calculate the percentage increase.

Let the old price be \( P_{\text{old}} = 180 \) and the new price be \( P_{\text{new}} = 207 \).

The change in price can be calculated as: \[ \Delta P = P_{\text{new}} - P_{\text{old}} = 207 - 180 = 27 \]

The percentage increase is given by the formula: \[ \text{Percentage Increase} = \left( \frac{\Delta P}{P_{\text{old}}} \right) \times 100 \] Substituting the values: \[ \text{Percentage Increase} = \left( \frac{27}{180} \right) \times 100 = 15.0 \]

Final Answer