CA Foundation May'26 | Revision Marathon | Quantitative Aptitude | Day 1| Manu Narayanan

[00:00:31][clears throat] [clears throat] >> Ratio proportion indices First chapter with another First number ratio and proportions The problem is getting Example show me the type of problem solving.

[00:03:07]Take a look at the way.

[00:03:29]No response to you.

[00:03:38]Okay, so I'm going to first And on the ratio And proportion Properties And formulas Because Ratio and proportion Proportion So first ratio is the comparison of size of Size of two or more quantities of same kind Same unit by division.

[00:04:11]Fraction A and B are two quantities of same kind and same unit Then the fraction A divided by B Is called The ratio of A to B The ratio of A to B So that means A is to B The question is on the way. A is to B 2 is to 3 Number exam in a problem So number one is wrong.

[00:04:38]2 divided by 3 So A and B are two quantities The fraction A divided by is called The ratio of A to B and is denoted as A is to B. So A And this is the way we can We are number second term and then consequent Normally number one fraction one by two on the one in a Numerator and then two in a denominator and one in a numerator But ratio Actual quantity that it is simplest Form on number A ratio in the way we do it in the way we A Divided by B And then A is to B And then A First term And this is the way we can do it. We are number second Consequent Okay.

[00:05:15]Then >> [clears throat] >> Remarks on the way we do properties Both the terms of a ratio can Multiply or divide by same non-zero Usually Ratio is In the simplest form So number one Ratio And comparison in the way we do Number Simplest Form Ratio in the way we do it in the way we 5 by 10 5 divided by 10 and then Number quantities 5 divided by 10 Ratio The ratio Simplest Form So that means Numerator Denominator 5 Divide Same non-zero Number 5 Divide 1 by 2 that means 1 is to 2 So number Looking at the point Ratio Number one in the way we Number one Ratio Actual quantity A term simplest Form 5 Is to 10 That means 1 is to 2 Number Order of Terms of ratio Important that means A is to B A divided by Number B is to B divided by A Antecedent Consequent Ratio Definition Our order Change In the quantity Increases Decreases In the ratio A is to B So the Important Property If a quantity Increases Or decreases In the ratio A is to B Then the new quantity So X I know Increase X in the Quantity Increase Or Decrease In the ratio A is to B Then Number one in the Increase Decrease New quantity New quantity will be X into B by A A Is to B Increase Decrease New Quantity Original quantity Into B divided by A is to B B Divided by A B Divided by A Inverse a ratio >> [clears throat] >> Then continue ratio So number Number quantities A Is to B is to C Number continuous A ratio A is to B Is to C Continuous A ratio >> So that means and the ratio and the product and the product Okay, then we have cases where we have more than two Okay.

[00:15:05]Then compounded ratio So very important We have two ratios and more than two ratios A is to B and C is to D are given then it's compounded ratio So A is to B comma C to D given on a compounded ratio will be AC is to BD AC is to BD and that means compounded ratio means we can compounded ratio of given ratios will be product of antecedents to product of consequence on a product of antecedents is to product of consequence on a product of antecedents is to product of consequence on a and the product of the two compounded ratio compounded ratio Then property on a duplicate ratio A is to B and A A is to B and duplicate ratio on a A squared is to B squared So that means a ratio compounded to itself a ratio compounded to itself is called a duplicate ratio a ratio compounded to itself is called a duplicate ratio Then sub duplicate ratio on a A is to B and A A is to B and sub duplicate ratio will be root of A is to root of B root of A is to root of B and A A is to B and sub duplicate ratio Then duplicate ratio on a A is to B and duplicate ratio will be A cubed is to B cubed Then sub duplicate ratio on a cube root of A is to cube root of B cube root of A is to cube root of B Then a ratio a commensurable integers incommensurable on a integer integers incommensurable Then greater inequality So we have a ratio on a A is to B That means ratio on a A by B If A is greater than B on a that means divide in the numerator and denominator we can call it greater inequality So lesser inequality A is to B that means A by B A less than B on a So that means antecedent is less than consequent That means divide in the numerator and denominator we can call it in the numerator lesser inequality So that means property compounded ratio then duplicate duplicate proportions like one on a proportions in the theory So an equality of two ratios is called a proportion So we have four terms four terms on a So we have four terms on a So we have four terms on a so we can say CA salary it depends on joining firm and certificate income We have a lot of options on the If you join a job then you can If you want to start your own practice then you can do that depends It depends on your monthly income yearly income and so on and so forth So the question was on the online Then proportions an equality of two ratios is called a proportion Then we have four quantities ABCD ABCD four quantities on a There should be an equality of ratios A is to B equal to C is to D We have two ratios on a in between equal sign that means two ratios proportion ABCD are in proportion Then we have to make proportion three terms term missing on a proportion value So then we use in the numerator The first last term extreme terms on them in the middle means So that means property first term last term product is equal to second term and third is equal to second term in third term in the middle of the product. That means product of extremes will be equal to product of means and then middle terms.

[00:20:02]So, we're going to just product of extremes will be equal to product of means.

[00:20:10]5 is to 10 and 5 is to 10 in the simplest form of 1 is to 2. The property of the product of extremes 5 into 2 should be equal to 10 into 1.

[00:20:25]10 equal to 10 so that means the property satisfied the product of extremes is equal to product of means. Product of extremes will be equal to product of means. Product of extremes will be equal to product of means.

[00:20:40]Then continuous proportions product of extremes equal to product of means and then continuous proportion people in the number of the question examine the expected to be on the important product of extremes will be equal to product of means.

[00:20:55]The number of terms in the term of the term continuous proportion and then the three quantities A, B, C are said to be in continuous proportion. A, B, C are said to be in continuous