Ratio:- The Comparison of any two quantities is called the ratio.

Condition:- if we want to compare any two quantities both are must be in same units.

Ex: 2kgs : 3kgs then the ratio is 2:3 or 2/3.

Here, 2 is called Antecedent

3 is called consequent.

Types of ratios:

if the given ratio is a:b then

1) Duplicate ratio: a^2 :b^2

2) Sub duplicate ratio :square root of a: square root of b

3) Triplicate ratio: a^3:b^3

4) sub Triplicate ratio: cube root of a: cube root of b

5) Inverse ratio: 1/a:1/b

6)compound ratio:-

if the given ratios are a:b&c:d then the compound ratio is ac:bd.

Examples:- Duplicate ratio of 4:5 =16:25

Subduplicate ratio of 25:36 =5:6

Triplicate ratio of 8:3 = 512:27

sub triplicate ratio of 4:3 = cube root of 4:cube root of 3

inverse ratio of 9:5=5:9

compound ratio of 2:3 and 4:7= 8:21

These are basics that should know in ratios and Will post proportion basics tomorrow.