Meaning of Percentage

Per cent is derived from Latin word ‘per centum’ meaning ‘per hundred’

Percent is represented by the symbol % and means hundredths too. That is 1% means out of hundred or one hundredth.

1	=	0.01
100

Part	=	%
Whole	=	100

Play around with the values and see how the fractions are getting affected.

Count of yellow tiles ${yellowCnt}

Count of green tiles ${greenCnt}

Count of red tiles ${redCnt}

Rina made a table top of 100 different coloured tiles. She counted yellow, green, red and blue tiles separately and filled the table below. Can you help her complete the table?

Colour	Number of Tiles	Rate per Hundred	Fraction	Written as	Read as
Yellow	14	12	14100	14%	14 per cent
Green	26	26	26100	26%	26 per cent
Red	35	35		%	per cent
Blue	25			%	per cent
Total	100

1. Find the Percentage of children of different heights for the following data.

Height	Number of Children	In Fraction	In Percenatge
110 cm	22	100	%
120 cm	25	100	%
128 cm	32	100	%
130 cm	21	100	%
Total	100	1	100%

2. A shop has the following number of shoe pairs of different sizes.

Size 2 : 20, Size 3 : 30, Size 5 : 14, Size 4 : 28, Size 6 : 8

Write this information in tabular form as done earlier and find the percentage of each shoe size available in the shop.

Size	No.of Shoes	Fraction	Percentage
2	20	100	%
3	30	100	%
4	28	100	%
5	14	100	%
6	8	100	%
Total	100

In all these examples, the total number of items add up to .

For example, Rina had 100 tiles in all, there were 100 children and 100 shoe pairs. How do we calculate percentage of an item if the total number of items do not add up to 100?

In such cases, we need to convert the fraction to an equivalent fraction with denominator 100.

Consider the following example. You have a necklace with twenty beads in two colours.

Colour	Number	Fraction	Denominator Hundred	In Percentage
Red	8	820	820×100100=	%
Blue	12	1220	1220×100100=	%
Total

Anwar found the Percentage of red beads like this. Out of 20 beads, the number of red beads is 8. Hence, out of 100, the number of red beads is × 100 = (out of hundred) = 40%

Asha does it like this 820=8×520×5 = 100 = %

We see that these three methods can be used to find the Percentage when the total add to give 100. In the method shown in the table, we multiply the fraction by 100100.

This does not change the value of the fraction. Subsequently, only 100 remains in the .

Anwar has used the unitary method. Asha has multiplied by 55to get 100 in the denominator. You can use whichever method you find suitable. May be, you can make your own method too.

The method used by Anwar can work for all ratios. Can the method used by Asha also work for all ratios?

Anwar says Asha’s method can be used only if you can find a natural number which on multiplication with the denominator gives . Since denominator was 20, she could multiply it by 5 to get 100. If the denominator was 6, she would not have been able to use this method.

Do you agree?

1. A collection of 10 chips with different colours is given. Fill the table and find the percentage of chips of each colour

Colour	Number	Fraction	Denominator Hundred	In percentage
Green	4	10	100	%
Blue	3	10	100	%
Red	3	10	100	%
Total	10	1	100	100

2. Mala has a collection of bangles. She has 20 gold bangles and 10 silver bangles.What is the percentage of bangles of each type? Can you put it in the tabular form as done in the above example?

We have,

Number of gold bangles =

Number of silver bangles =

Total bangles =

Therefore, the percenatge of gold bangles 2030 × 100 = %

and the percentage of silver bangles 1030 × 100 = %

THINK, DISCUSS AND WRITE

1. Look at the examples below and in each of them, discuss which is better for comparison.

In the atmosphere, 1 g of air contains:

2. A shirt has

Chapter 7: Comparing Quantities

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Meaning of Percentage

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Chapter 7: Comparing Quantities

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Glossary

Meaning of Percentage

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