Questions: Finding the percentage increase or decrease: Basic The price of an item yesterday was 140. Today, the price rose to 343. Find the percentage increase. %

Finding the percentage increase or decrease: Basic

The price of an item yesterday was 140. Today, the price rose to 343. Find the percentage increase. %
Transcript text: Finding the percentage increase or decrease: Basic The price of an item yesterday was $\$ 140$. Today, the price rose to $\$ 343$. Find the percentage increase. $\square$ $\%$
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Solution

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Solution Steps

To find the percentage increase, we need to calculate the difference between the new price and the old price, divide that difference by the old price, and then multiply the result by 100 to convert it to a percentage.

Step 1: Calculate the Increase in Price

To find the increase in price, subtract the old price from the new price: \[ \text{Increase} = 343 - 140 = 203 \]

Step 2: Calculate the Percentage Increase

To find the percentage increase, divide the increase by the old price and multiply by 100: \[ \text{Percentage Increase} = \left(\frac{203}{140}\right) \times 100 \]

Step 3: Simplify the Expression

Calculate the percentage increase: \[ \text{Percentage Increase} = \left(\frac{203}{140}\right) \times 100 = 145.0 \]

Final Answer

The percentage increase in the price is \(\boxed{145.0\%}\).

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