The Basic Concept Of Percentage

The percentage can be divided into ‘per-cent-age’ which means ‘per every hundred’. It is denoted by the symbol %

Following calculations should be kept in mind:

And so on.

This can come in handy during certain calculations.

Comparison between two values of X and Y :

If we compare x to y then we assume y is always equal to 100%
When any question asked, what percent of x is y, then y will be written in the denominator.

Q. If x is 80% of y, what percent of x is y?

1st method :
( y = {100×100 over 80} x )

( y = 125% {of} x )

2nd method :

Let y is 100 then x = 80

(∴ Required % = {100 over 80}×100 = 125% )

Example1 – K is what % of N ?

[ {K over N}×100  = {K over N}% ]

If A is R % more than B then B is less than A by –

$$ {brack {R over 100+ R}×100}% $$

If A is R% less than B, then B is more than A by –

$$ {brack {R over 100-R}×100}% $$

Example. If Ram’s income is 10% more than that of Shyam’s income then, how much Percentage Shyam’s income is less than that of Ram’s income?
( {{10 over 100+10} × 100} ) 
(
= {{10 over 110}×100} ) (= 9 {1 over 11}% )

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