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Everything you need to know about CLAT: Registration, Syllabus, Admit Card, Exam Pattern, and Dates » CLAT Study Material » Quantitative Techniques » Percentage Increase and Decrease
CLAT Scholarship

Percentage Increase and Decrease

This article briefly describes the concept of percentage, percentage increase, and decrease. It also discusses the percentage increase and decrease formula and percentage increase and decrease calculator.

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When we do a percentage increase and decrease, we can change the number involved. For example, we can have a sale that reduces the price of one thing by 20%. Then we could have a sale that reduces more than one thing by 10% and so on. In other words, if we have an item being reduced in price by 10%, then when it’s doubled, the result is two items being reduced by 5% each. Percentage increase and decrease can also be done in math. You can use a percentage to find how much something increases or decreases. 

About Percentage

Before knowing about percentage increase and decrease, we must know what a percentage means, so here is a quick description of what is a percentage

“Percent” is always a number between 0 and 100, which means that a percentage of 25% is less than 100%, and a percentage of 75% is greater than 100%. Also, one-half is 50%, and the number 0 equals 0%.

Percentage Increase and Decrease

Percentage increase: The first thing is to know what a percentage is, so that’s easy. The second thing is to calculate how much more than the original number. 

If the percent increase is 10%, we must multiply by 1.1, for example: [100 × 1.1 = 110].

The same goes for a percent decrease, except that the minus sign will point to a number, and we’ll have to divide it by 0.9, for example: [100 ÷ 0.9 = 111].

Percentage decrease: The first thing about percentage decrease is to know what a percentage is. The second thing is that we must divide the original number by 0.9, which means we must multiply by 1/0.9, for example: [100 × (1/0.9) = 100 × 0.98 ≈ 98].

Percentage Increase and Decrease Formula

The percentage increase and decrease formula calculate the increase or decrease in the percentage.

Percentage increase formula:

percentage increase = old × new ÷ old

Percentage decrease formula:

percentage decrease = old ÷ new × 0.9 × 99.5% + 1.5%

Percentage Increase and Decrease Calculator

A percentage increase and decrease calculator is a calculator that helps you to solve problems with approximate percentages, so it is especially useful for kids to learn what percentage is. Here is a description of a calculator that can help you with your homework problems:

The first thing the percentage increase and decrease calculator will do is show you what the original number was, and then it will change the number to be the new number, which means that the original number will stay the same.

Another thing we have to know is what a percentage is and how to calculate a percent change. We also have to know how much less than the original number will be and how much more than the original number for every increase or decrease of one percent. In short, we need knowledge about percentages in total.

Method to calculate percentage increase and decrease using the computer

Part 1: Percentage Increase:

Click on the + on your mouse to add a number, then click on the + once again to add another number, for example: [100% + 10%]. This will make 110%. The same goes for a percentage reduction, except that the – sign will point to a number, then click on it again to subtract another number, for example: [100% – 10%]. This will make 90%.

Part 2: Percentage increase and decrease

Percentage peels are more difficult. You can start with any number and then add or subtract from the original number. For example: [100 + (100 x 0.12) = 120].

Percentage increase and decrease are easily doubled, tripled, quadrupled, and every other increase or decrease by one percentage point. For example: [100% + 100% + 100%].

Some Examples of the Percentage Increase and Decrease Problems

  • “I’m 33% interested in this.” An investor who wants to double their money will increase their investment by 100%. If a particular project costs $10,000, with a 5% discount, you will obtain it for $9,500. On the other hand, if you have problems that cost $10,000, losing 5% means spending $10,500 on them.
  • If the product price were reduced by 10%, then when it decreased by another 10%, the total would be 20%. If the product was being sold at $20,000 and was reduced by 1%, then when we get 20% commission, it’s not only two times as much, but also two times as much divided by 20%.
  • Working out the value of the sale with an arbitrary discount rate: If we have a sale of $1000, then the company’s actual price to its customers was $980, and if we take 5% as rate, this offer is equivalent to $1020.

Conclusion

Calculating percentages is not very hard, but it is important to understand the concepts behind it. You should calculate the percentage change and percentage increase or decrease and understand what these percentages mean. To do that, you need to have a good amount of math knowledge.

Percentage Increase and Decrease is used to calculate the total profit after the discount is applied (proportional to the increase/decrease).

The percentage is also used in many languages for counting. In French, German, Italian, and Spanish, it is expressed by a word (5% or 5/100 or 1%).

faq

Frequently asked questions

Get answers to the most common queries related to the CLAT Examination Preparation.

What is a percentage change?

Ans. Percentage change is an increase or decrease that’s expressed as a ratio of the difference betwee...Read full

Can you get any discount if you buy something at 50% of its original price and deduct another 5% from it?

Ans. Yes, If we buy something for 50% of the original price and if we take an additional 5% discount, then, ...Read full

What is an increase or decrease of one percent?

Ans. If you change one percent, you will end up with the same percentage as what you had before....Read full

What does this mean: "The stores use only 0.9 as a multiplier to decrease prices by 1.5%"?

Ans. This means that before the price reduction if the original price of a product was $1000. After the pric...Read full

How do you work out the sale value with an arbitrary discount rate?

Ans. Let’s say we have a sale of $1000, then the actual price that the company offered to its customers wa...Read full

Ans. Percentage change is an increase or decrease that’s expressed as a ratio of the difference between two values and the magnitude of the original value expressed in terms of whole numbers.

Ans. Yes, If we buy something for 50% of the original price and if we take an additional 5% discount, then, in the end, we will have saved 15%, because at first we got 50% discount and then with an additional 5%, it means that there is a total of 55%. This is equivalent to saying that 100-55 = 45, which equals 45%.

Ans. If you change one percent, you will end up with the same percentage as what you had before.

Ans. This means that before the price reduction if the original price of a product was $1000. After the price reduction, it will be $900 (by 10%), then the actual decrease is 15% because 0.9 multiplied to 1.15 is equal to 0,9035, and this number divided by 1000 is equal to 900 ($0,9035/$1000 = 0,09035 = 9%).

Ans. Let’s say we have a sale of $1000, then the actual price that the company offered to its customers was $980, and if we take 5% as rate, then it means that this offer is equivalent to $1020.

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