Page 254 - MathGPT_V1.0_C5

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\\November 3, 2023 12:46 PM Surender Prajapati Proof 2 Reader _________________________ Date: ___________________74

Encapsulate
math
PERCENTAGE

Percentage means per hundred. Denoted by sign ‘%’
Conversion of Percentages

Conversion of fractions into percentages: Conversion of decimals into percentages:
4 4 400
Example: = × 100 % = % = 80% Example: 0.5 = (0.5 × 100) % = 50%
5 5 5
Conversion of percentage into fractions: Conversion of percentage into decimals:
35 7 37
Example: 35% = = Example: 37% = 100 = 0.37
100 20

Finding quantity of a given percentage Expressing a quantity as percentage of
20 another quantity
Example: 20% of 180 = 100 × 180 Example: 20 as a percentage of 1000
= 2 × 18 20 20
= 36 = 1000 × 100 % = 10 % = 2%

www
MAths connect
India is the seventh largest country of the world and 3 largest country in Asia in terms
rd
of land area. The land area of Asia is about 30 per cent of the total Earth's land area
which is 44614000 sq. km and India cover approximate 7.4% land area of Asian land
area. What is the approximate land area covered by India?

Learning by Doing

Objective: To reinforce the concept of percentage.

Materials Required: A sheet of square paper, crayons, pencils and scale (One per
child)
Procedure:
Š Instruct the students to mark 100 squares on the paper.
Š Pose a situation to the students. For example, ’Following vegetables
are grown on a piece of land by a farmer as per the given percentage.
Potato: 18%; Onion: 22%; Tomato: 40%; and Capsicum: 20%,

and estimate the plantation area occupied by each variety of
vegetables.
Š Ask the students to colour the square paper according to the
percentages of the vegetables they want to grow.

252 Mathematics-5