# Cl-5 (Math) | Ch-13 | Percentage

## 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

1. Fill Type
2. Match Type
3. Order Type
4. Conversion Type
5. Compare Type
6. Error Type
7. Statement Type
8. True/False Type
9. Related Type
10. Day-to-Day Type
11. 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.

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

#### Set-2

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

#### Set-3

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

#### Set-4

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

#### Set-5

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

Ans:

1. ..
2. ..
3. ..
4. ..
5. ….
6. ….
7. ….

### 13.6 Exam

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