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Percentage Increase/Decrease Calculations

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Percentage Increase/Decrease Calculations

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Questions and Answers

What is the formula to calculate percentage increase?

(Increase / Original value) * 100

If the population of a small town decreased from 18,560 to 15,787 due to an epidemic, what is the percentage decrease?

14.94%

What are the three steps to calculate percentage increases?

Determine the difference between the original value and the increased value. 2. Divide the difference by the original value. 3. Multiply the quotient obtained in step 2 by 100.

Suresh's annual salary increased from Rs 18,00,000 to Rs 22,00,000. What is the percentage increase?

22.22% Signup and view all the answers

How is a percentage calculated in mathematics?

A percentage is calculated as a fraction of 100. Signup and view all the answers

What is the formula to calculate percentage decrease?

(Decrease / Original value) * 100 Signup and view all the answers

In the example given for calculating a percentage increase, what was the original salary amount?

Rs 18,00,000 Signup and view all the answers

What is the formula used to calculate the percentage increase in the example?

(Increase amount / Original amount) x 100 Signup and view all the answers

In the example for calculating a percentage decrease, what were the original and decreased population values?

Original population: 18,560, Decreased population: 15,787 Signup and view all the answers

What is the first step in calculating a percentage decrease?

Determine the difference between the original value and the decreased value. Signup and view all the answers

If a company's revenue decreased from $5 million to $4.2 million, what is the percentage decrease? Show your work.

Decrease = $5,000,000 - $4,200,000 = $800,000. Percentage decrease = ($800,000 / $5,000,000) x 100 = 16% Signup and view all the answers

A student's test score increased from 75 to 90 out of 100. Calculate the percentage increase in their score.

Increase = 90 - 75 = 15. Percentage increase = (15 / 75) x 100 = 20% Signup and view all the answers

Study Notes

Percentage Increase/Decrease Calculations

Percentages are essential in various fields, including finance, economics, and statistics, where they allow for easy comparisons and analyses of changes. In mathematics, learning to calculate percentage increases and decreases is crucial. This article aims to explain the calculation and examples of percentage increases and decreases.

Understanding Percentages

A percentage is a measure representing the part of a whole. It is calculated as a fraction of 100. For instance, if Suresh's annual salary increased from Rs 18,00,000 to Rs 22,00,000, the percentage increase would be calculated as follows:

(Increase / Original value) * 100 = 22.22%

Similarly, if the population of a small town decreased from 18,560 to 15,787 due to an epidemic, the percentage decrease could be found using the following formula:

(Decrease / Original value) * 100 = 14.94%

These formulas allow us to determine the percentage change in a quantity over time.

Calculating Percentage Increases

To calculate percentage increases, follow these steps:

Determine the difference between the original value and the increased value.
Divide the difference by the original value.
Multiply the quotient obtained in step 2 by 100.

For example, let's consider the scenario mentioned earlier: Suresh's annual salary increased from Rs 18,00,000 to Rs 22,00,000. Here, the difference is Rs 4,00,000, which can be calculated as Rs 22,00,000 – Rs 18,00,000. Next, divide this difference by the original salary, Rs 18,00,000:

(Rs 4,00,000 / Rs 18,00,000) = 0.2222

Now, multiply 0.2222 by 100 to get the percentage increase:

0.2222 * 100 = 22.22%

So, Suresh's annual salary increased by 22.22%.

Calculating Percentage Decreases

To calculate percentage decreases, the process remains the same, but we focus on the decrease in value instead. Follow these steps:

Determine the difference between the original value and the decreased value.
Divide the difference by the original value.
Multiply the quotient obtained in step 2 by 100.

For instance, let's revisit the scenario mentioned earlier: the population of a small town decreased from 18,560 to 15,787 due to an epidemic. Here, the decrease is 2773, which can be calculated as 18,560 – 15,787. Next, divide this difference by the original population, 18,560:

(2773 / 18,560) = 0.1494

Now, multiply 0.1494 by 100 to get the percentage decrease:

0.1494 * 100 = 14.94%

So, the population decreased by 14.94%.

These formulas and methods enable us to calculate percentage increases and decreases accurately and provide valuable insights into changes in quantities over time.

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Description

Learn how to calculate percentage increases and decreases with step-by-step examples. Understand the formulas and methods to determine the percentage change in a quantity accurately over time, essential in fields like finance, economics, and statistics.