PERCENTAGE (CLASS 6)

CHAPTER:9   PERCENTAGE AND PERCENT %

 

Suppose out of 100 students of a class, 25 are boys, this fraction is written as 25/100

  which means 25 per hundred or 25% is also read as 25 percent.

PER means FOR EVERY or, OUT OF and CENT means HUNDRED, thus PERCENTAGE means FOR OR OUT OF HUNDRED

 

THE WORD PER CENT MEANS FOR EVERY HUNDRED.

When you say "Percent" you are really saying "per 100"

And 25% means 25 per 100

Example:

100% of 80 is ¹⁰⁰/₁₀₀ × 80 = 80

Example:

50% of 80 is ⁵⁰/₁₀₀ × 80 = 40

PERCENTAGE IS THE NUMERATOR OF THE FRACTION WITH DENOMINATOR 100

60 OUT OF 100 = 60\100

                             = 60 as a percentage is written as 60%

 

When a fraction is so expressed that its denominator is 100, the numerator is  called the percentage.

Ex. 7/20= 7x5\20x5= 35/100

=35%



EXERCISE  9 (A)

1.   Express each of the following statements as percentage form:

i.13 out of 20                                    ii.21 eggs out of 30 are good(try this)

=13/20

=13x5/20x5=65\100

=65%

2 Express the following fractions as percent

i.3\200                                    i. 5\6

=3\200 x 100%                   =5/6 x 100%

=1.5%                                  =83.33% 0r, you can get the ans. in mixed fraction.              

 

iii  65/80                                         iv .  2/3

try these sums

 

3.Express as percent.

i. 0.10                                                   ii  0.02        iii. 0.15 

=0.10(first remove the decimal)

=10/100 /100%

=10/100 x 100%

=10%

 

 

iv.0.32

=0.32/100

=32/100x100%

=32%

4.Convert into fraction in lowest terms.

i 8%                                      ii. 20%       iii. 250%

=8/100 (cancel them)

=2/25

5. Express as decimal fraction;

i.25%                             ii .  108%                iii.  95%

=25/100

=0.25

6. Express each of the following numbers as percent.

i. 7                     ii. 2             iii.19.5

=7 x 100%

=700%