Percent Increase and Decrease

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: ((new value - original value) / original value) * 100.

Front

How do you calculate percent decrease?

Back

Percent decrease is calculated by taking the difference between the original value and the new value, dividing that by the original value, and then multiplying by 100. The formula is: ((original value - new value) / original value) * 100.

Front

If a quantity increases from 50 to 75, what is the percent increase?

Back

The percent increase is 50%. Calculation: ((75 - 50) / 50) * 100 = 50%.

Front

If a quantity decreases from 200 to 150, what is the percent decrease?

Back

The percent decrease is 25%. Calculation: ((200 - 150) / 200) * 100 = 25%.

Front

What is the formula for calculating the total cost after a percentage tip is added?

Back

Total cost = original bill + (tip percentage * original bill). For example, if the bill is $57.24 and the tip is 15%, the total cost is $57.24 + (0.15 * $57.24) = $65.83.

Front

How do you find the percent of correct answers in a quiz?

Back

To find the percent of correct answers, divide the number of correct answers by the total number of questions, then multiply by 100. Formula: (correct answers / total questions) * 100.

Front

What is the relationship between percent increase and percent decrease?

Back

Percent increase and percent decrease are inversely related. A percent increase in a value will result in a higher value, while a percent decrease will lower the value. The same percentage change will have different effects depending on whether it is an increase or decrease.

Front

How do you round a percentage to the nearest whole number?

Back

To round a percentage to the nearest whole number, look at the first decimal place. If it is 5 or higher, round up; if it is 4 or lower, round down.

Front

What is the significance of rounding in calculations?

Back

Rounding is significant in calculations to simplify numbers and make them easier to work with, but it can also lead to small inaccuracies. It's important to be aware of how rounding affects the final result.

Front

If a population of 1,000 decreases by 4%, what is the new population?

Back

The new population is 960. Calculation: 1,000 - (0.04 * 1,000) = 960.