Percent implies “for every hundred” and the sign % is read as percentage and x % is read as x per cent. In other words, a fraction with denominator 100 is called a per cent. For example, 30 % means 30/100 (i.e. 30 parts from 100). This can also be written as 0.3.

Basic Formula

In order to calculate x % of y, use the formula:

(x/100) x y = (x * y)/100

Remember :  x % of y = y % of x

Percentage:

1/2= 50%    1/3= 33.33%.       1/4=25%           1/5=20%.            1/6=16.67%            1/7=14.28%               1/8=12.5%          1/9=11.11%

Eg: 64.28% of 140

    = (50% + 14.28%) of 140

    = 1/2 * 140 + 1/7 * 140

    = 70 + 20 = 90

Examples:

1. 100% of 30 is 30 x (100/100) = 30

2. 40% of 60 is 40/100 × 60 = 24

3. 10% of 60 is 10/100 × 60 = 6

Q1: 60 % of a number is 360. What is 99 % of the same number?

Solution:

    Let the number be n.

   Given (60/100) ×n = 360 => n = 600

          99 % of 600 = (99/100) × 600 = 594

Q2 : 50 % of a number is 360. What is 99 % of the same number?

Solution:

    Let the number be y.

    Given (50/100) x q = 360

     => q = 720

     99% of 720 = (99/100) x 720 = 712.80

Q3: What percent is 60 of 240?

 Solution:

      First write the given numbers in the fraction form:

              60/240 = ¼

    Multiply the numerator and denominator with 25 to make the denominator equal to 100

          (1×25)/(4×25) = 25/100

           25 percent or 25 per 100 is called as 25%

Find the value of 24% of (17/146) of 2190 + 32% of (12/69) of 9660.

a) 564.80                      b) 598.80                      c) 624.80                      d) 615.80           

Solution:

= (24/100) × (17/146) × 2190 + (32/100) × (12/69) × 9660

= (893520/14600) + (3709440/6900)

=  61.2+ 537.6 = 598.80.

Answer: b

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