# 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

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
Subtrahendo

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