What is 12.5%? | Simple Explanation for Class 3

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What is 12.5% (Twelve Point Five Percent)?

Grade Level:

Class 3

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Definition

What is it?

12.5% means '12.5 parts out of every 100 parts'. It is a way to show a fraction or a part of a whole thing, expressed as a percentage. It is also equal to the fraction 1/8.

Simple Example

Quick Example

Imagine you have 8 yummy gulab jamuns. If you eat 1 gulab jamun, you have eaten 12.5% of the total gulab jamuns. This is because 1 is 12.5% of 8.

Worked Example

Step-by-Step

Let's find 12.5% of 800 rupees.

Step 1: Understand that 12.5% means 12.5 out of 100.
---Step 2: To convert a percentage to a decimal, divide it by 100. So, 12.5% = 12.5 / 100 = 0.125.
---Step 3: To find 12.5% of 800, multiply 800 by 0.125.
---Step 4: Calculation: 800 * 0.125 = 100.
---Answer: 12.5% of 800 rupees is 100 rupees.

Why It Matters

Understanding percentages like 12.5% is key in many fields. From calculating discounts on your favorite clothes to understanding interest rates on bank loans, percentages are everywhere. Data scientists use them to analyze information, and economists use them to track growth.

Common Mistakes

MISTAKE: Multiplying by 12.5 directly instead of converting to a decimal or fraction. | CORRECTION: Always convert the percentage to a decimal (divide by 100) or a fraction (e.g., 1/8 for 12.5%) before multiplying.

MISTAKE: Thinking 12.5% means '12.5 out of 10' or '12.5 out of 1000'. | CORRECTION: Remember that the '%' symbol always means 'out of 100'. So, 12.5% is always 12.5/100.

MISTAKE: Confusing 12.5% with 1.25% or 125%. | CORRECTION: Pay close attention to the decimal point. 12.5% is different from 1.25% (which is 1.25/100) and 125% (which is 125/100).

Practice Questions

Try It Yourself

QUESTION: What is 12.5% of 40 mangoes? | ANSWER: 5 mangoes

QUESTION: A mobile phone costs 16,000 rupees. If there is a 12.5% discount, how much is the discount amount? | ANSWER: 2,000 rupees

QUESTION: A cricket team scored 240 runs. If a specific batsman scored 12.5% of these runs, how many runs did he score? If he hit 2 sixes, how many other runs did he score? | ANSWER: He scored 30 runs. He scored 18 other runs (30 - 2*6).

MCQ

Quick Quiz

Which fraction is equal to 12.5%?

2026-01-04T00:00:00.000Z

2026-01-08T00:00:00.000Z

2026-01-10T00:00:00.000Z

2026-01-02T00:00:00.000Z

The Correct Answer Is:

12.5% means 12.5/100. If you multiply the numerator and denominator by 8, you get 100/800, which simplifies to 1/8. Alternatively, 1/8 = 0.125, which is 12.5%.

Real World Connection

In the Real World

When you buy groceries from an app like BigBasket or Blinkit, sometimes they offer '12.5% extra' on certain products. This means you get more for the same price! Also, banks might offer interest rates, and understanding these percentages helps you know how much your savings will grow.

Key Vocabulary

Key Terms

PERCENT: A way to show a part of a whole, meaning 'out of 100' | DECIMAL: A number that includes a decimal point, like 0.125 | FRACTION: A way to represent a part of a whole, like 1/8 | DISCOUNT: A reduction in the usual price of something | INTEREST: Money paid regularly at a particular rate for the use of money lent or for delaying the repayment of a debt.

What's Next

What to Learn Next

Great job understanding 12.5%! Now that you know how to work with this percentage, you can move on to learning about other common percentages like 25% and 50%. This will help you calculate discounts, taxes, and other real-life math problems even faster!