# 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

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