What is Percentage Increase?

S1-SA2-0303

Grade Level:

Class 5

Maths, Finance, Economics, AI, Data Science, Statistics

Definition

What is it?

Percentage increase tells us how much a quantity has grown, shown as a percentage of its original value. It helps us compare changes in a way that is easy to understand, no matter how big or small the original numbers are.

Simple Example

Quick Example

Imagine your pocket money was 100 rupees last month. This month, your parents increased it to 120 rupees. The percentage increase would show how much extra money you got compared to the original 100 rupees, as a percentage.

Worked Example

Step-by-Step

Let's say the price of a samosa increased from 10 rupees to 12 rupees.

Step 1: Find the actual increase. Increase = New Value - Original Value = 12 rupees - 10 rupees = 2 rupees.
---Step 2: Divide the increase by the original value. This gives us the fractional increase. Fractional Increase = Increase / Original Value = 2 / 10 = 0.2.
---Step 3: Multiply the fractional increase by 100 to convert it into a percentage. Percentage Increase = 0.2 * 100% = 20%.
---So, the price of the samosa increased by 20%.

Why It Matters

Understanding percentage increase is super useful! Businesses use it to see how much their sales grew, and economists use it to track how prices change (inflation). Even data scientists use it to analyze trends in large datasets, helping them make important predictions.

Common Mistakes

MISTAKE: Dividing the increase by the new value instead of the original value. | CORRECTION: Always divide the actual increase by the ORIGINAL (starting) value. This is the base for comparison.

MISTAKE: Forgetting to multiply by 100 at the end. | CORRECTION: After dividing, remember to multiply the result by 100 to express it as a percentage. Otherwise, you'll have a decimal or fraction.

MISTAKE: Confusing percentage increase with percentage decrease. | CORRECTION: For increase, the new value is always higher than the original. For decrease, the new value is lower.

Practice Questions

Try It Yourself

QUESTION: A mobile phone's price increased from 8000 rupees to 9000 rupees. What is the percentage increase? | ANSWER: 12.5%

QUESTION: In a cricket match, a player scored 50 runs in the first innings and 65 runs in the second innings. What was the percentage increase in his runs? | ANSWER: 30%

QUESTION: Your school's library had 200 books last year. This year, they added 40 new books. What is the percentage increase in the number of books in the library? | ANSWER: 20%

MCQ

Quick Quiz

A shop sold 50 ice creams on Monday and 60 ice creams on Tuesday. What is the percentage increase in ice cream sales?

10%

20%

16.67%

25%

The Correct Answer Is:

The increase is 60 - 50 = 10 ice creams. Divide the increase by the original number: 10 / 50 = 0.2. Multiply by 100 to get 20%.

Real World Connection

In the Real World

You see percentage increase everywhere! When you check your mobile data usage, if it goes from 1GB to 1.5GB, that's a 50% increase. News channels report percentage increase in Sensex points or fuel prices. Even your favorite online shopping app might show 'prices increased by X%' for certain items due to demand.

Key Vocabulary

Key Terms

ORIGINAL VALUE: The starting amount or number. | NEW VALUE: The amount or number after the change. | INCREASE: The difference between the new value and the original value. | PERCENTAGE: A way to express a number as a fraction of 100.

What's Next

What to Learn Next

Great job understanding percentage increase! Next, you should learn about 'Percentage Decrease'. It uses a very similar method but helps you understand how much something has gone down. This will make you a pro at understanding all kinds of changes around you!