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What is 25% (Twenty-Five Percent)?
Grade Level:
Class 5
Maths, Finance, Data Science, Statistics, AI
Definition
What is it?
25% (Twenty-Five Percent) means 25 out of every 100. It is a way to show a part of a whole, where the whole is considered to be 100. You can also think of 25% as one-fourth (1/4) of something.
Simple Example
Quick Example
Imagine you have a box of 4 ladoos. If your friend eats 1 ladoo, they have eaten 25% of the ladoos from the box. This is because 1 out of 4 is the same as 25 out of 100.
Worked Example
Step-by-Step
Let's say your school has 400 students. If 25% of the students play cricket, how many students play cricket?
---Step 1: Understand that 25% means 25 out of 100, or 1/4.
---Step 2: To find 25% of 400, we can multiply 400 by 25/100.
---Step 3: Calculation: 400 * (25/100)
---Step 4: This simplifies to 400 * (1/4)
---Step 5: 400 divided by 4 is 100.
---Answer: So, 100 students play cricket.
Why It Matters
Understanding percentages like 25% is super important in daily life and many jobs. It helps in finance to calculate discounts or interest, in data science to understand survey results, and even in AI to measure how well a program is performing. Many careers, from business analysts to market researchers, use percentages all the time.
Common Mistakes
MISTAKE: Thinking 25% means 25. | CORRECTION: 25% means 25 out of 100, or 25/100, which is a fraction or a decimal (0.25), not the number 25 itself.
MISTAKE: Multiplying by 25 instead of 0.25 or 1/4. | CORRECTION: To find 25% of a number, convert 25% to a decimal (0.25) or a fraction (1/4) and then multiply.
MISTAKE: Forgetting that 'percent' means 'per hundred'. | CORRECTION: Always remember the '% 'symbol means 'divided by 100'. So, 25% is 25 ÷ 100.
Practice Questions
Try It Yourself
QUESTION: What is 25% of 80 rupees? | ANSWER: 20 rupees
QUESTION: A mobile phone costs ₹12,000. If you get a 25% discount, how much money do you save? | ANSWER: ₹3,000
QUESTION: In a box of 200 colourful marbles, 25% are red and 50% are blue. How many marbles are neither red nor blue? | ANSWER: 50 marbles
MCQ
Quick Quiz
Which of these is another way to write 25%?
1/2
1/4
25
0.025
The Correct Answer Is:
B
25% means 25 out of 100 (25/100). When you simplify the fraction 25/100, you get 1/4. Option C (25) is incorrect because 25% is a part of a whole, not the number 25 itself.
Real World Connection
In the Real World
When you see a '25% off' sale at your favourite clothing store like Reliance Trends or a grocery shop like D-Mart, it means you pay 25% less than the original price. Or, if your phone battery shows '25% remaining', it means you have one-fourth of its full charge left.
Key Vocabulary
Key Terms
PERCENT: Per hundred or out of every 100 | FRACTION: A part of a whole, written as a numerator over a denominator (e.g., 1/4) | DECIMAL: A number that includes a decimal point (e.g., 0.25) | DISCOUNT: A reduction in price
What's Next
What to Learn Next
Great job understanding 25%! Next, you can learn about other common percentages like 50% and 75%. This will help you become a pro at calculating discounts, understanding data, and solving many real-life math problems.
