Sunday, November 15, 2015

Basic Properties and Cases of Ratio and Proportion Explained With Examples Video Lecture

So friends from this video I have taken up the explanation of the topic Ratio and Proportion. This topic is very important as it has usage in many topics of Quantitative Aptitude and also in Data Interpretation and Logical Reasoning.

When we say that two quantities a and b are in ratio we can write them as a:b which means that we are comparing both quantities or we can say that we are measuring a keeping b as the base or we can say that we are measuring a is what percentage of b or we can also say that how many b's are contained in a. 

This means that ratio of two quantities determines how many times one quantity is more than or less than the other quantity.

In this ratio a is antecedent and b is consequent.

Then I have told that ratio are of two types - Homogeneous Ratios and Heterogeneous Ratios. Then I have told that ratio is nothing but the fraction equivalent of a certain percentage. If a percentage is divided by 100 it becomes a fraction and when a fraction is multiplied by 100 it becomes a percentage.

Properties of Ratio - 

If both the terms of a fraction are multiplied by the same quantity than there will be no change on the value of the fraction and similarly if both the terms of a fraction are divided by a same quantity than also the value of the fraction remains constant.

Then a way of comparing the values of fractions or ratios has been discussed by me where I have compared them by taking the LCM of the denominators and equating denominators and comparing the numerators for finding the decreasing or increasing order of different ratio. I have solved a question to explain this.

The I have drawn two table in which I have explained what will be the effect of percentage increase in denominator will effect the overall value of the fraction/ratio. Similarly the effect of percentage decrease in denominator on the overall value of the ratio has also been discussed.

Then I have talked about Duplicate Ratio, Triplicate Ratio, Sub Duplicate Ratio in the video.

I have told how to divide an amount A in the ratio of x:y and in the ratio of x:y:z

Then I have told one more shortcut of comparing ratios where the difference between the Numerator and Denominator is only one.

Then I have told that if  I have two equations - 

a1x + b1y + c1z = 0
a2x + b2y + c2z = 0

then the ratio x:y:z has also been told in the video.

If we increase the antecedent/numerator and consequent/denominator by different quantities then what is the overall effect on the value of the ratio has also been discussed by me in this video.

Then I have explained that if we have three or four ratios and we have to find out the continuous ratio of all of them, that method has also been explained in the video.

Questions discussed in this video are listed below - 

Question 1. Which one is bigger ?

24/36 or 33/54

Question 2. Arrange the following in ascending order.

33/45, 40/50, 55/65

Question 3. Find B's share in Rs. 6300 if A:B = 2:3 , B:C = 4:5 , C:D = 3:7

I hope you would like this video. Please post your reviews regarding the video and clarify your doubts in the comment section below.

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