Session 25: Percentage

Intro activity - (15 minutes)

Begin with a question: "What does 50% off mean during a sale?"

Explain the concept of percent as “per hundred” using real-life examples (e.g., discounts, grades, statistics).

Symbol: %

Example: 50% means 50 out of 100.

Why We Use Percentages?

• Percentages help us compare things easily.
• They're used in real life like:
• Discounts in shopping (20% off)
• Test scores (You got 80%)
• Battery level (Phone at 30%)
• Interest on money (Bank gives 5%)

Game Name: “Percentage Pop Quiz!”( 20 minutes)

Objective: Warm up students with quick, fun percentage questions to activate prior knowledge.

Setup:

Divide the class into two teams.

Use flashcards or a whiteboard.

Each team takes turns answering questions.

One point for each correct answer.

Example Questions:

1. What is 50% of 100?     (Answer: 50)
2. What percentage is half of something?     (Answer: 50%)
3. Convert 0.25 to a percentage.       (Answer: 25%)
4. You got 8 out of 10 on a quiz. What’s your percentage?     (Answer: 80%)
5. What is 25% of 80?       (Answer: 20)
6. A pizza is cut into 4 equal slices. If you eat 1 slice, what percentage did you eat? (Answer: 25%)
7. Which is more: 40% or 3/10? (Answer: 40%)
8. True or False: 100% means the whole thing. (Answer: True)

This is an activity to see what students know.

This should be done together after class.

Percentage Problems with Answers  45 mint

1. Finding a percentage of a number:

2. What is 20% of 150?

3.What is 25% of 200?

1. 5.Ravi scored 72 marks out of 80 in a test. What percentage did he score?
2. A: (72/80) × 100 = 90%
3. 6.A shopkeeper gave a 20% discount on a ₹500 bag. What is the discount amount?
4. A: 20% of ₹500 = (20/100) × 500 = ₹100
5. 7. A water tank is 75% full. If its total capacity is 200 liters, how much water is in the tank?
6. A: 75% of 200 = (75/100) × 200 = 150 liters

8. A fruit basket has 80 apples. 25% of them are rotten. How many apples are rotten?

A:25% of 80 = (25/100) × 80 = 20 apples

9. A jacket that costs ₹2,000 is on sale for 30% off. What is the sale price?

A: 30% of ₹2,000 = ₹600

Sale price = ₹2,000 - ₹600 = ₹1,400

10. There are 60 students in a class. 40% are boys. How many boys are there?

A: 40% of 60 = (40/100) × 60 = 24 boys

11. A bottle contains 2 L of juice. 25% of it is orange juice. How much orange juice is there?

Solution: 25% of 2 L = (25 ÷ 100) × 2 = 0.5 L

. Fraction to Percentage Conversion

Method: Multiply the fraction by 100 and add the percent symbol (%).

Decimal to Percentage Conversion

Method: Multiply the decimal by 100 or move the decimal point two places to the right.

Follow-Up Task:(30 mint)

1. A T-shirt is priced at ₹800. There is a 25% discount.

(a) Discount amount = (25 ÷ 100) × 800 = ₹200

(b) Final price = ₹800 − ₹200 = ₹600

2. A water bottle has 1.5 L of water. 40% has been used.

(a) Used water = (40 ÷ 100) × 1.5 = 0.6 L

(b) Left = 1.5 − 0.6 = 0.9 L

3. A fruit seller has 200 apples. 35% are spoiled.

(a) Spoiled = (35 ÷ 100) × 200 = 70 apples

(b) Good = 200 − 70 = 130 apples

4. A student saves ₹500 monthly. She spends 20% on books.

Spending = (20 ÷ 100) × 500 = ₹100

5. Rice price increased by 10%. Old price = ₹50 per kg.

Increase = (10 ÷ 100) × 50 = ₹5

New price = ₹50 + ₹5 = ₹55 per kg

Have the children repeat the quiz game given above. 15 mint

Expected Learning Outcomes:

By the end of the lesson, students will be able to:

. Define what a percentage is and explain its meaning in real-life contexts.

. Apply percentage concepts to solve real-world problems (e.g., discounts, tax, tips).

. Demonstrate understanding through class participation, guided practice, and independent work.