Questions: The price of an item yesterday was 140. Today, the price rose to 203. Find the percentage increase.

Solution Steps

To find the percentage increase, we need to calculate the difference between the new price and the old price, then divide that difference by the old price, and finally multiply by 100 to get the percentage.

To find the difference in price, we subtract the old price from the new price: \[ \text{Difference} = \text{New Price} - \text{Old Price} = 203 - 140 = 63 \]

Next, we calculate the percentage increase using the formula: \[ \text{Percentage Increase} = \left( \frac{\text{Difference}}{\text{Old Price}} \right) \times 100 = \left( \frac{63}{140} \right) \times 100 \] Calculating this gives: \[ \text{Percentage Increase} = 45.0 \]

Final Answer