# 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

Andthe 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.
- Sub-Duplicate ratio = It is the inverse of Duplicate Ratio.
- Triplicate ratio: It is the compounded ratio of three equal ratios.
- Sub-triplicate ratio = It is the inverse of triplicate ratio.

## Example:

4 | is called the Duplicate ratio of | 2 |

9 | 3 |

4 | is called the Sub-duplicate ratio of | 16 |

5 | 25 |

## Example:

8 | is called the Triplicate ratio of | 2 |

27 | 3 |

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