Percent Increase or Decrease with Equations

Front

What is percent increase?

Back

Percent increase is a measure of how much a quantity has grown relative to its original amount, expressed as a percentage. It is calculated using the formula: \( \text{Percent Increase} = \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \times 100 \% \.

Front

What is percent decrease?

Back

Percent decrease is a measure of how much a quantity has shrunk relative to its original amount, expressed as a percentage. It is calculated using the formula: \( \text{Percent Decrease} = \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \times 100 \% \.

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How do you calculate the new price after a percent decrease?

Back

To calculate the new price after a percent decrease, use the formula: \( \text{New Price} = \text{Original Price} \times (1 - \frac{\text{Percent Decrease}}{100}) \).

Front

How do you calculate the new price after a percent increase?

Back

To calculate the new price after a percent increase, use the formula: \( \text{New Price} = \text{Original Price} \times (1 + \frac{\text{Percent Increase}}{100}) \).

Front

If the price of an item is $50 and it increases by 20%, what is the new price?

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The new price is $60. (Calculation: \( 50 \times (1 + 0.20) = 60 \)).

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If the price of an item is $80 and it decreases by 15%, what is the new price?

Back

The new price is $68. (Calculation: \( 80 \times (1 - 0.15) = 68 \)).

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What is the formula to find the original value after a percent decrease?

Back

The formula to find the original value after a percent decrease is: \( \text{Original Value} = \frac{\text{New Value}}{(1 - \frac{\text{Percent Decrease}}{100})} \).

Front

What is the formula to find the original value after a percent increase?

Back

The formula to find the original value after a percent increase is: \( \text{Original Value} = \frac{\text{New Value}}{(1 + \frac{\text{Percent Increase}}{100})} \).

Front

If a population decreases from 600 to 540, what is the percent decrease?

Back

The percent decrease is 10%. (Calculation: \( \frac{600 - 540}{600} \times 100 = 10\% \)).

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If a savings bond worth $150 earns 105% interest, what is its total value?

Back

The total value is $307.50. (Calculation: \( 150 \times (1 + 1.05) = 307.50 \)).