percentage and profit

Percentage

Percent literally means per cent, cent as in century. Thus, percent means per 100' and is represented with the symbol %

This means that any data, a out of b, is proportionally reduced or increased so as to be ' out of 100'

Example

A Scores of 80 marks out of 150 marks. To find the percentage of marks scored, we need to find the equivalent 80 marks out of 150

=>    80/150 marks  out of 1                     (Divide by 150)
=>    (80/150)*100 marks out of 100.       ( Multiply by 100)

Thus, 80 marks out of 150 is equivalent of (80/150)*100 i.e. 53.33%

Example

In a class of 60 students, 45 of them are Girls. To find the percentage of girls in class, we have to find  the equivalent number of girls had the strength of the class been 100.

=>    (45/60)*100  i.e. 75%

Be careful

we have to be careful about what comes in denominator. It is always the data associated with  of -80 mark out of 150 or 45 girls out of 60.