**Pre-Requisites**

- Basic understanding

## Learning Objective

On successful completion of this lesson, students will be able to:

- demonstrate basic knowledge of percentage.
- analyze the concept to find percent.
- develop problem-solving skills.
- apply in real life.

**Dictionary**

**Percentage**: %age**Average**: Mean**Numeral**: Number**>**: Greater than**<**: Lesser than**=**: Equal to**Ascending**: Increasing**Descending**: Decreasing**Order**: Sequence

**13.1 Introduction**

=> The term **per cent** means **out of 100**.

**e.g 6 per cent means 6 out of 100 =6/100= 6-hundredth.**

=> **Percent** is denoted by **%**.

**e.g 6% = 6/100 = 6-hundredth**

**13.2 Conversion**

#### Percentage —-> Fraction (or decimal)

**Rule:** Divide the given %age number by 100

**e.g1. Express 20% as a numeral.**

**Sol.** 20% = 20/100 = 1/5 = 0.2 ans.

**e.g2. Express 23% as a decimal.**

**Sol.** 23%=23/100 = 0.23 ans.

#### Percentage <—- Fraction (or decimal)

**Rule:** Multiply the given number by 100

**e.g1. Express 3/4 as a percentage.**

**Sol. **3/4 = 3/4 x 100 = 300/4 = 75%

**e.g2. Convert 0.2 into percentage.**

**Sol.** 0.2 = 1/5 = 1/5 x 100 = 20%

#### Solved Examples

**Ex1. Find 5% of 200.**

**Sol.** 5% of 200 = 5/100 x 200 = 10

**Ex2. What percent of 85 is 17?**

**Sol. **X% = 17/85 x 100 = 20%

**Ex3. What is the number whose 12% is 54?**

**Sol. **12% of X = 54

12/100 x X = 54

X = 54 x 100/12 = 450

**Ex4. What percent is 7 m 80 cm of 65 m** ?

**Sol.** 7 m = 700 cm

80 cm = 80 cm

Thus, Total = 780 cm

And, 65 m = 6500 cm

Therfore , X% = 780/6500 x 100 = 12%.

**13.3 Practice Sets **

- Fill Type
- Match Type
- Order Type
- Conversion Type
- Compare Type
- Error Type
- Statement Type
- True/False Type
- Related Type
- Day-to-Day Type
- Miscellaneous Type

#### Set-1

1.Express each of the following as a fraction in its lowest terms.

**2. **Express each of the following as a decimal.

3. Convert each of the following fractions into a percentage.

4.Convert each of the following decimals into percentage.

5. Find the value of

**6. Which of the following are meaningless?**

**7. Compare and put symbol >, < or =in the placeholder.**

**8. Fill in the blanks.**

**9. Cross (x) the Roman numerals which are not written correctly.**

**10. Write the following Roman numerals in ascending order.**

**11. Write the following Roman numerals in descending order.**

**12. Solve & write the answer in Roman numerals.**

**13. Complete the following table.**

#### Set-2

#### Set-3

#### Set-4

#### Set-5

**13.4 Quiz**

**13.5 Test**

**13.6 Exam**

The exam will be conducted after the completion of the course.

**13.7 Ask Question**

Ask your doubts **here**

#### …..The End…..

**Other Notes**

- Counting from one to hundred: एक से लेकर सौ तक गिनती
- Punctuation Mark: विराम चिन्ह
- Roman Numerals : 1 to 3000
- Testing
- Words Start with letter G
- Words Start with letter F
- Words Start with letter E
- Words Start with letter D
- Words Start with letter C
- Words Start with letter B