What is Finding 75% of a Number?

S1-SA2-0300

Grade Level:

Class 5

Maths, Finance, Data Science, AI, Statistics

Definition

What is it?

Finding 75% of a number means figuring out three-quarters of that number. It's like dividing the number into four equal parts and then taking three of those parts. This is a common way to understand a specific portion of a whole.

Simple Example

Quick Example

Imagine you have a box with 20 laddoos. If you eat 75% of the laddoos, how many did you eat? You ate 15 laddoos. This means out of every 4 laddoos, you ate 3.

Worked Example

Step-by-Step

Let's find 75% of 80.

Step 1: Understand that 75% means 75 out of 100, which can be written as the fraction 75/100.
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Step 2: Simplify the fraction 75/100. Both numbers can be divided by 25. 75 ÷ 25 = 3 and 100 ÷ 25 = 4. So, 75/100 simplifies to 3/4.
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Step 3: Now, we need to find 3/4 of 80. This means multiplying 3/4 by 80. (3/4) * 80.
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Step 4: You can multiply 3 by 80 first, which is 240. Then divide 240 by 4. 240 ÷ 4 = 60.
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Step 5: Alternatively, you can divide 80 by 4 first, which is 20. Then multiply 20 by 3. 20 * 3 = 60.
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Answer: 75% of 80 is 60.

Why It Matters

Understanding percentages helps you in many fields like finance, data science, and even AI! Financial analysts use it to calculate profits, data scientists use it to understand survey results, and even AI programs use it to weigh different options. It's a key skill for future innovators!

Common Mistakes

MISTAKE: Multiplying by 75 instead of 75/100 or 0.75. | CORRECTION: Always remember that 'percent' means 'out of 100', so 75% is 75/100 or 0.75.

MISTAKE: Confusing 75% with 25%. | CORRECTION: 75% is three-quarters (3/4) of the number, while 25% is one-quarter (1/4). Always visualize how big the percentage is.

MISTAKE: Not simplifying the fraction 75/100 to 3/4, making calculations harder. | CORRECTION: Always simplify fractions like 75/100 to 3/4 before multiplying, it makes the math much easier.

Practice Questions

Try It Yourself

QUESTION: A cricket team scored 120 runs. If 75% of the runs came from boundaries, how many runs were from boundaries? | ANSWER: 90 runs

QUESTION: Your school has 400 students. If 75% of them participate in sports, how many students play sports? | ANSWER: 300 students

QUESTION: A mobile phone costs Rs 16,000. During a festival sale, you get a discount of 25%. What is the actual amount you pay if the discount is subtracted from the original price (which means you pay 75% of the original price)? | ANSWER: Rs 12,000

MCQ

Quick Quiz

What is 75% of 60?

The Correct Answer Is:

To find 75% of 60, we calculate (3/4) * 60. This equals 45. Options A, B, and D are incorrect calculations.

Real World Connection

In the Real World

When you see '75% off' on clothes in a local market or online on apps like Myntra, you're using this concept! Or, when a news channel says '75% of Indian households now have access to clean drinking water,' it gives you a clear picture of the progress.

Key Vocabulary

Key Terms

PERCENT: Out of every hundred | FRACTION: A part of a whole, like 3/4 | WHOLE: The total amount or number | QUARTER: One-fourth (1/4) of something

What's Next

What to Learn Next

Great job learning about 75%! Next, you can explore 'Finding any Percentage of a Number.' This will help you calculate 10%, 20%, or even 120% of a number, building on what you've learned here.