# CPT Chapter Ratio and Proportion

*With Anand.Duration:2hrs38min*

Ratio & Proportion | Duration (min:sec) |

Ratio | |

Introduction | 05:29 |

What is Ratio | 06:23 |

Few Points about Ratio | 06:21 |

Types of Ratio | 04:22 |

Examples of Types of Ratio | 07:13 |

Problems on Types of Ratio | 14:45 |

Summary Types of Ratio | 02:18 |

Ratio Problems | 26:16 |

Ratio Application Problems | 33:41 |

Conclusion | 01:12 |

Proportion | |

Introduction | 03:36 |

What is Proportion | 01:38 |

Missing Number Problem | 04:02 |

Properties of Proportion | 03:30 |

Examples of Properties | 04:55 |

Problems on Properties | 02:51 |

Mean Proportion | 05:14 |

Problems | 17:25 |

Application Problems | 04:56 |

Conclusion | 02:18 |

Total | 02:38:25 |

Ratio and Proportion

What is a ratio?

Comparison of two or more quantities of the same kind by division

Ex- Ratio of Boys to Girls 20:10

Ex- Ratio between 250gm and 2kg

Ratio between 5 minutes and 30 secs

Few points about ratio-

Expressed in simplest term

Order of terms is important

Ratio exist only between quantities of same kind

and they should have the same units

Types of ratio-

Inverse ratio

Compound ratio

Duplicate ratio

Triplicate ratio

Sub Duplicate ratio

Sub Triplicate ratio

Continued ratio

Inverse Ratio

Inverse ratio of a:b is b:a

One ratio is the inverse of another if their product is 1

Compound Ratio

Compound ratio of a:b and c:d is ac:bd

Duplicate ratio

A ratio compounded to itself is duplicate ratio.Thus duplicate ratio of a:b is a2:b2

Triplicate ratio

A ratio compounded to itself two time is triplicate ratio.Thus triplicate ratio of a:b is a3:b3

Sub Duplicate ratio- Square root

If a:b is duplicate ratio of c:d then c:d is sub-duplicate ratio of a:b

Find sub-duplicate ratio of

4:9

1:25

16:4

Continued Ratio

Ratio which are expressed in more than 2 quantities

1:3:5

Properties of Proportion

Cross -Multiplication

Invertendo

Alternendo

Componendo

Dividendo

Componendo & Dividendo

Addendo

Subtrahendo

## Notes

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