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# Compound and Inverse Ratio

## Compound Ratio

Ratios are compounded by multiplying together the Antecedents for a new Antecedent and the Consequent for a new Consequent.

## Example:

Let 3:2, 4:5, 2:7 are the three Ratios.

The multiplication result of the Antecedents of these three ratios is = 3 x 4 x 2 = 24

And

the multiplication result of the Consequent of these three ratios is = 2 x 5 x 7 = 70

The resultant Compound Ratio = 24:70 = 12:35

• Duplicate ratio = It is the compounded ratio of two equal ratio.

• ## Example:

 4 is called the Duplicate ratio of 2 9 3

• Sub-Duplicate ratio = It is the inverse of Duplicate Ratio.
•  4 is called the Sub-duplicate ratio of 16 5 25

• Triplicate ratio: It is the compounded ratio of three equal ratios.

• ## Example:

 8 is called the Triplicate ratio of 2 27 3

• Sub-triplicate ratio = It is the inverse of triplicate ratio.
•  3 is called the Sub-triplicate ratio of 27 4 64

## Inverse Ratio

If the Antecedent and Consequent of a simple ratio changes their place with each other, then the resultant ratio is called the Inverse of that ratio.

## Example:

Let, 10:13 as a simple ratio.

Then 13:10 is the Inverse ratio of 10:13.

### Note:

Previously we discuss about simple Ratios.

Ratio between two or more than two quantities are also possible.

## Example:

The Ratio of the Length,width and height of a house is(All in metre) = 9:7:6