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
CPT Exam Exposure
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