## Shortcuts for finding Percentages

Percentage is nothing but a fraction, whose denominator is 100. The actual meaning of Per-Cent is per every 100. It is usually denoted by the sign % and sometimes shortened as P.C.

Eg. 5/100 is called 5 per cent (or 5%)
Here 5, which is the numerator is called the rate per cent.
In the same way 18% means 18/100 (18 out of 100)

Percentage is the the standard way to compare two quantities. Suppose we want to compare to fractions (4/50) and (9/25), make the denominator 100 for both the fractions.
So,
4/50 = 8/100 => means 8 out of 100
9/25 = 36/100 => means 36 out of 100
so, (4/50)  <  (9/25)
Have a look at some important points about Percentages.
• 5% of Rs. 200 means (5/100)X(200/1) = 10  (remember guys, ‘Of’ means multiplication).
• 75% is equivalent to 75/100 = 3/4
• Increase % = (increase/original) X (100)

#### Have a look at some short forms of percentages before doing some problems (better try to remember these)

• 5 % = 5/100 = 1/20 = 0.05
• 6 1/4 % = 25/400 = 1/16 = 0.0625
• 10 % = 10/100 = 1/10 = 0.1
• 12 1/2 % = 25/200 = 1/8 = 0.125
• 16 2/3 % = 50/300 = 1/6 = 0.166
• 20% = 20/100 = 1/5 = 0.2
• 25% = 25/100 = 1/4 = 0.25
• 33 1/3 % = 100 / 300 = 1/3 = 0.33
• 40 % = 40 / 100 = 2 / 5 = 0.4
• 50 % = 50 / 100 = 1/2 = 0.5
• 60 % = 60 / 100 = 3/5 = 0.6
• 66 2/3 % = 200/300 = 2/3 = 0.66
• 75 % = 75 / 100 = 3/4 = 0.75
• 80 % = 80 / 100 = 4 / 5 =  0.8
• 90 % = 90 / 100 = 9/10 = 0.9
• 100% =  100 / 100 = 1
• 125 % = 125 / 100 = 5 / 4 = 1.25
• 150 % = 150 / 100 = 3/2 = 1.5