# Percentage Decrease Formula

## Percentage Decrease Formula

Percentage Decrease Formula refers to the rate of change in a value as it decreases over a period of time. For example, less rainfall, fewer Covid cases, etc. The decrease rate can be calculated using the Percentage Decrease Formula. This section describes percentage reduction formulas. Learn the percentage reduction formula with some solution examples on Extramarks.

What Is Percent Decrease Formula?

The Percentage Decrease Formula represents the decrease relative to the initial value. To calculate the rate of decrease, students first need to find the difference in values. Then divide the difference by the initial value and multiply by 100. The Percentage Decrease Formula  is:

Percentage Decrease Formula  = [(old value – new value) / old value] × 100]

### Percent Decrease Formula

There are two simple steps to calculating the removal rate using the Percentage Decrease Formula:

Step 1: Find the numerical difference. That is, decrease = old value – a new value.

Step 2: Divide the decrement by the old value and multiply by 100. This gives the formula for the rate of decline. Percentage Decrease Formula  = [(old value – new value) / old value] × 100]

### Percentage Increase And Decrease

The rate of increase and rate of decrease is the rate of change of the value. The per cent change is the difference between the reported new value and the old value. To find the percentage change, divide this difference by the old value and multiply by 100 to get the percentage increase or decrease.

Note that if the new value is higher than the old one, it is a percentage increase. For example, if the price of a book changes from $5 to$8, the price will increase. In this case, if the old value is greater than the new value, it’s a percentage reduction. For example, if the table price changes from $10 to$8, the price will decrease. Students will easily learn all the concepts on Extramarks.

### Examples Using Percent Decrease Formula

Solved examples on the topic Percentage Decrease Formula can be acquired from Extramarks. Extramarks provides study material and learning resources for various topics and subjects. All the resources provided by Extramarks are prepared by subject-matter experts, making them highly accurate and reliable. Extramarks is a popular educational website. Students can use the Extramarks website to access a variety of learning resources and study materials. Extramarks meets students’ academic requirements by providing them with the necessary learning resources. Extramarks’ website or mobile application provides students of all classes with the necessary study materials. Extramarks provides a wide range of educational materials, including NCERT solutions, sample papers, previous years’ papers, online live sessions, revision notes, mock tests, and so on. It is advisable to access the study material on the Percentage Decrease Formula from the Extramarks website.

Example 3. What is the Percentage Decrease Formula  from 12500 to 11625?

Ans. The decrease rate from 12500 to 11625 can be calculated using the formula decrease rate = [(old value – new value) / old value] x 100. In this case, the old value = 12500 and the new value = 11625. Replacing the values ​​in the formula, Percent Decrease = [(12500 – 11625) / 12500] × 100 = 7%

### 1. What is understood by Percentage Decrease?

The rate of Decrease refers to the rate of change in a value as it decreases over a period of time. % Decrease expresses the percentage reduction of the specified value relative to the initial value. From the Extramarks website, one can access study material on Percentage Decrease Formula.

### 2. What is the percentage reduction formula?

Taking the difference between the old value and the new value, dividing it by the old value, and multiplying by 100 forms the formula for percentage reduction. The decrease rate formula is expressed as

Decrease rate = [(old value – new value) / old value] × 100]

It is possible to access study material on Percentage Decrease Formula on the Extramarks website.

### 3. What are the steps to calculate the removal rate using the removal rate formula?

There are three simple steps to calculating the removal rate using the removal rate formula:

Step 1: Find the difference in numbers. H. decrease = old value – new value

Step 2: Divide this “reduction” by the old value and multiply by 100. This gives the reduction rate formula. Reduction ratio = [(old value – new value) / old value] × 100]

Step 3: The given value is inserted into the formula to determine the reduction rate. Calculate the rate at which the price of a pencil falls from $12 to$9 using the rate of decline formula. Calculate the percentage drop in the price of a pencil using the percentage drop formula. In this example, the new value = $9, old value =$12. Decrease rate = [(old value – new value) / old value] × 100. Substituting the values ​​into the formula, Percent Decrease = [(12 – 9)/12] × 100 = 25%. Therefore, the price of pencils fell by 25%.

### 4. What is the per cent decrease from 20 to 16?

The per cent decrease from 20 to 16 can be calculated using the formula Percent decrease = [(old value – new value) / old value] x 100. In this case, the old value = 20 and the new value = 16. So, plugging the values ​​into the formula, Percent Reduction = [(20 – 16) / 20] × 100 = 20%. At Extramarks, students may access study materials related to the Percentage Decrease Formula.

### 5. What are some examples of percentage reduction?

1. Examples of percentage reduction can be seen in our daily lives. Suppose the price of fuel goes from $7 to$4. The fuel price reduction rate can be calculated using the formula reduction rate = [(old value – new value) / old value] x 100. Here, the old value = 7 and the new value = 4. Therefore, after substituting the values ​​into the formula, % reduction = [(7 – 4) / 7] × 100 = 42.8%. It is highly recommended to access the Percentage Decrease Formula study notes from the Extramarks website or mobile application for further clarification on the topic.