How To Do Reverse Percentage: A Step-By-Step Guide

How To Do Reverse Percentage: A Step-By-Step Guide

Serba Viral    November 14, 2023    Comment   

Do you often find yourself struggling with reverse percentage problems? Don't worry, you're not alone. Many people find reverse percentages challenging, but with a little bit of practice and some simple calculations, you can master them too. In this article, we'll show you how to do reverse percentage in a step-by-step guide.

What is Reverse Percentage?

Before we dive into the details, let's first understand what reverse percentage means. Reverse percentage is the process of finding the original value of a percentage increase or decrease. In other words, if you know the percentage increase or decrease and the final value, you can use reverse percentage to find the original value.

Step-by-Step Guide to Reverse Percentage

Here's a step-by-step guide to help you solve reverse percentage problems:

Step 1: Convert the Percentage to a Decimal

The first step is to convert the percentage to a decimal. To do this, divide the percentage by 100. For example, if you have a percentage of 25%, divide it by 100 to get 0.25.

Step 2: Divide the Final Value by the Decimal

The next step is to divide the final value by the decimal from step 1. For example, if you have a final value of 125 and a decimal of 0.25, divide 125 by 0.25 to get 500.

Step 3: Subtract the Original Value from the Final Value

Once you have the original value, you can verify your answer by subtracting the original value from the final value. The result should be equal to the percentage increase or decrease. For example, if you had a percentage increase of 25% and a final value of 125, the original value would be 100. If you subtract 100 from 125, you get 25, which is the percentage increase.

Example Problems

Let's take a look at a few example problems to help you understand how to use reverse percentage.

Example 1:

A shirt is on sale for 20% off, and the sale price is $24. What was the original price of the shirt?

Step 1: Convert the percentage to a decimal: 20/100 = 0.2

Step 2: Divide the final value by the decimal: $24/0.2 = $120

Step 3: Subtract the original value from the final value: $120 - $96 = $24

Therefore, the original price of the shirt was $120.

Example 2:

A stock has increased in value by 15%, and the new value is $690. What was the original value of the stock?

Step 1: Convert the percentage to a decimal: 15/100 = 0.15

Step 2: Divide the final value by the decimal: $690/0.15 = $4,600

Step 3: Subtract the original value from the final value: $4,600 - $3,990 = $690

Therefore, the original value of the stock was $3,990.

Tips for Solving Reverse Percentage Problems

Here are a few tips to help you solve reverse percentage problems more easily:

• Always convert the percentage to a decimal first.
• Be careful with the order of operations when dividing or multiplying.
• Double-check your answer by subtracting the original value from the final value.

Conclusion

Reverse percentage can be a challenging concept, but with practice and a good understanding of the steps, you can master it. Remember to always convert the percentage to a decimal, divide the final value by the decimal, and double-check your answer by subtracting the original value from the final value. With these tips and the step-by-step guide we've provided, you'll be able to solve reverse percentage problems with ease.

Reverse Percentage Questions And Answers

Reverse Percentage Questions And Answers

Serba Viral    September 22, 2023    Comment   

Have you ever heard of reverse percentage questions? These are questions that ask you to find the original value of something after a percentage increase or decrease has occurred. Understanding how to solve these types of questions can be incredibly helpful, whether you're studying for a math exam or trying to calculate a discount while shopping. In this article, we'll explore how to solve reverse percentage questions step by step.

What are Reverse Percentage Questions?

Reverse percentage questions are mathematical problems that require you to find the original value of something after a percentage increase or decrease has occurred. For example, if an item is on sale for 20% off, you might need to calculate the original price of the item before the discount was applied.

To solve these types of problems, you need to use a formula that involves multiplication and division. The formula is:

Original value = Final value ÷ (1 + percentage increase or decrease)

Step-by-Step Guide to Solving Reverse Percentage Questions

Let's take a look at an example to see how this formula works in practice.

Step 1: Identify the Final Value and Percentage Increase or Decrease

Suppose you bought a shirt on sale for $20. The original price of the shirt was $25, but it was discounted by 20%. To find the original price of the shirt, we need to use the formula:

Original value = $20 ÷ (1 - 0.20) = $25

In this case, the final value is $20 (the price you paid for the shirt), and the percentage decrease is 20% (the discount applied to the shirt).

Step 2: Convert the Percentage Increase or Decrease to a Decimal

In order to use the formula, we need to convert the percentage increase or decrease to a decimal. To do this, simply divide the percentage by 100. For example, if the percentage increase is 20%, we would divide 20 by 100 to get 0.20.

Step 3: Use the Formula to Find the Original Value

Now that we have all the necessary information, we can plug it into the formula:

Original value = $20 ÷ (1 - 0.20) = $25

This tells us that the original price of the shirt was $25.

Tips for Solving Reverse Percentage Questions

Here are a few tips to keep in mind when solving reverse percentage questions:

• Always double-check your work to make sure you haven't made any mistakes.
• Pay attention to whether the percentage increase or decrease is being applied to the original value or the final value.
• If you're not sure how to approach a problem, try working backwards from the final value to the original value.
• Practice, practice, practice! The more you work on these types of problems, the easier they will become.

Conclusion

Reverse percentage questions can be challenging, but with a little practice, you'll be able to solve them with ease. Remember to use the formula we discussed earlier and pay close attention to the details of each problem. With these tips in mind, you'll be well on your way to mastering reverse percentage questions.

How To Calculate Percentage In Telugu

How To Calculate Percentage In Telugu

Serba Viral    Juni 18, 2023    Comment   

Calculating percentage is an important part of mathematics that is used in various fields including finance, science, and business. In this article, we will guide you through step by step process of calculating percentage in Telugu language.

What is Percentage?

Percentage is a way of expressing a number as a fraction of 100. It is denoted by the symbol ‘%’. For example, if we say that 50% of students in a class got an ‘A’ grade, it means that 50 out of 100 students got an ‘A’ grade.

How to Calculate Percentage?

Calculating percentage involves three values: the part, the whole, and the percentage. The part is the value that we want to find the percentage of, the whole is the total value, and the percentage is the value that we want to find.

The formula for calculating percentage is:

Percentage = (Part/Whole) x 100

Let us understand this with an example. Suppose, we want to find the percentage of students who passed in a class of 50 students and 40 students passed. Then:

Percentage = (40/50) x 100 = 80%

How to Calculate Percentage Increase or Decrease?

Percentage increase or decrease is used to find the difference between two values. It is calculated using the following formula:

Percentage Increase/Decrease = ((New Value – Old Value) / Old Value) x 100

For example, if the price of a product has increased from Rs. 100 to Rs. 120, then:

Percentage Increase = ((120 – 100) / 100) x 100 = 20%

How to Calculate Percentage of a Number?

Calculating the percentage of a number is done by multiplying the number by the percentage and dividing it by 100. The formula is:

Percentage of a Number = (Number x Percentage) / 100

For example, if we want to find 25% of 200, then:

Percentage of a Number = (200 x 25) / 100 = 50

Conclusion

Calculating percentage is an important skill that is used in various fields of study. With these simple tips, you can easily calculate percentage in Telugu language. Remember, practice makes perfect!