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

Table of Contents

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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.

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