What is 75%? | Simple Explanation for Class 5

S1-SA2-0287

What is 75% (Seventy-Five Percent)?

Grade Level:

Class 5

Maths, Finance, Data Science, Statistics, AI

Definition

What is it?

75% (Seventy-Five Percent) means 75 out of every 100 parts of something. It represents three-quarters of a whole. When you see 75%, it tells you that a large portion, but not all, of something is being considered.

Simple Example

Quick Example

Imagine your school bag has 100 pages for a drawing competition. If you have drawn on 75 pages, it means you have completed 75% of your drawing pages. You still have 25 pages left to draw on.

Worked Example

Step-by-Step

Let's say your favourite cricket team scored 200 runs. If a player scored 75% of those runs, how many runs did that player score?

1. Understand what 75% means: It's 75 out of 100.
---
2. Convert 75% to a fraction: 75/100.
---
3. Simplify the fraction: Divide both numerator and denominator by 25. So, 75 ÷ 25 = 3 and 100 ÷ 25 = 4. The simplified fraction is 3/4.
---
4. Multiply the total runs by the fraction: (3/4) * 200 runs.
---
5. Calculate: (3 * 200) / 4 = 600 / 4.
---
6. Final calculation: 600 / 4 = 150 runs.

Answer: The player scored 150 runs.

Why It Matters

Understanding percentages like 75% is crucial in daily life and many exciting fields. From managing your pocket money and understanding discounts (Finance) to analyzing sports statistics (Data Science) or even building smart AI systems, percentages are everywhere. It's a fundamental skill for future innovators and problem-solvers.

Common Mistakes

MISTAKE: Treating 75% as just '75' and not as a part of 100. For example, calculating 75% of 200 as 75 + 200. | CORRECTION: Always remember that percentage means 'out of 100'. So, 75% is 75/100, or 0.75 as a decimal. You need to multiply this fraction or decimal by the total amount.

MISTAKE: Forgetting to simplify the fraction 75/100 before multiplying, making calculations harder. | CORRECTION: Always simplify percentages to their simplest fraction form (like 3/4 for 75%) to make calculations quicker and easier. This reduces the numbers you have to work with.

MISTAKE: Confusing 75% with 7.5% or 750%. | CORRECTION: Pay close attention to the position of the digits and the percent symbol. 75% is three-quarters, 7.5% is a very small part, and 750% means 7.5 times the original amount.

Practice Questions

Try It Yourself

QUESTION: A mobile phone battery is charged to 75%. If the total battery capacity is 4000 mAh, how much is the current charge? | ANSWER: 3000 mAh

QUESTION: In a class of 60 students, 75% passed the Maths exam. How many students passed? | ANSWER: 45 students

QUESTION: A shop is offering a 75% discount on a toy car that originally costs ₹800. What is the discount amount, and what is the new price of the toy car? | ANSWER: Discount amount = ₹600, New price = ₹200

MCQ

Quick Quiz

What is 75% of 120 mangoes?

30 mangoes

90 mangoes

120 mangoes

75 mangoes

The Correct Answer Is:

75% is equivalent to 3/4. To find 75% of 120, you calculate (3/4) * 120 = 90. So, 90 mangoes is the correct answer.

Real World Connection

In the Real World

When you buy groceries online using apps like BigBasket or Swiggy Instamart, you often see offers like 'Get 75% off on your second purchase' or '75% cashback'. Understanding 75% helps you quickly calculate how much money you save or get back, making you a smart shopper and helping you manage your budget better.

Key Vocabulary

Key Terms

PERCENTAGE: A way to express a number as a fraction of 100 | FRACTION: A part of a whole, like 3/4 | DECIMAL: Another way to write parts of a whole, like 0.75 | WHOLE: The entire amount or total

What's Next

What to Learn Next

Great job understanding 75%! Next, you should learn about 'What is 25%?' and 'What is 50%?'. These concepts are closely related and will help you become even better at calculating percentages quickly and confidently.