Ratio 1 | CAT Preparation 2024 | Arithmetic | Quantitative Aptitude

Summary

In this educational video, Ravi Prakash introduces the concepts of ratios, proportions, and their applications in mathematics. He explains the literal meaning of ratios, using examples like dividing 56 rupees between two people in a 4:3 ratio. Prakash further delves into combining ratios and illustrates how to find the combined ratio of multiple variables. He also discusses methods for converting ratios with fractions into whole numbers for easier calculation. The video serves as a comprehensive guide to understanding and applying ratios in various mathematical problems.

Takeaways

• 📚 The class focuses on the concepts of ratios, proportions, and their applications in mathematics.
• 🔢 Ratios are expressed as A:B and can be understood as dividing a quantity into parts according to the ratio.
• 💡 The script explains how to distribute a sum of money, like 56 rupees, among two people based on a given ratio.
• 📈 An example is provided to illustrate how to calculate the distribution of 171 rupees between two individuals with a ratio of 11:8.
• 🌐 The importance of maintaining the same multiple for each part when distributing according to a ratio is emphasized.
• 🔄 The script demonstrates how to simplify ratios by canceling out common factors to make calculations easier.
• ➡️ A method to combine multiple ratios is introduced, which involves aligning and adding the parts of each ratio.
• 🧩 The concept of finding a combined ratio when given separate ratios for different pairs of items is explained.
• 💡 The script teaches how to convert ratios involving fractions into whole numbers by finding the least common multiple (LCM).
• 📝 A practical problem-solving approach is showcased, where the distribution of money is calculated based on given ratios and conditions.

Q & A

What is the basic concept of a ratio as explained in the script?

A ratio is a way to compare two or more quantities. It is written in the form 'a to b', which means 'a' is to 'b' as in the fraction 'a/b'. It can also represent how a whole is divided into parts, such as dividing 56 rupees into two persons 'a' and 'b' in the ratio of 4:3.

How does the script illustrate dividing money in a ratio?

The script uses the example of dividing 56 rupees between two persons 'a' and 'b' in the ratio of 4:3. It explains that if the total parts are 7 (4+3), each part is worth 56/7 = 8 rupees, so 'a' gets 4 parts (32 rupees) and 'b' gets 3 parts (24 rupees).

What is the meaning of 'k' in the context of the script when dealing with ratios?

In the script, 'k' is used as a variable to represent a common multiple that scales the ratio parts. For example, if 'a' gets 7 parts and 'b' gets 9 parts, 'a' can be represented as 7k and 'b' as 9k, where 'k' is the common multiple that, when multiplied by the ratio parts, gives the actual values.

How does the script explain combining ratios?

The script explains combining ratios by aligning the parts that correspond to the same entity across different ratios. For example, if 'a' has a ratio of 7 to 'b' and 'b' has a ratio of 8 to 'c', then 'a', 'b', and 'c' can be combined into a single ratio by making 'b' the common part and adjusting 'a' and 'c' accordingly.

What is the significance of the least common multiple (LCM) in combining ratios?

The LCM is significant in combining ratios because it helps to convert the parts of the ratios into whole numbers, which are easier to work with. By multiplying each part of the ratio by the LCM of the denominators, the fractions are converted into integers, simplifying calculations.

How does the script handle ratios where the parts are not whole numbers?

The script suggests converting the fractional parts of a ratio into whole numbers by multiplying by a common factor, typically the LCM of the denominators of the fractions, to make the calculations simpler and more straightforward.

What is the strategy for solving problems where ratios are given as fractions?

The script recommends converting the fractional ratios into whole numbers by multiplying with the LCM of the denominators. This conversion simplifies the problem-solving process, making it easier to apply the concepts of ratios and proportions.

How does the script demonstrate the application of combined ratios in a problem?

The script demonstrates the application of combined ratios by solving a problem where a certain amount is distributed among 'a', 'b', 'c', and 'd' in a given ratio. It shows how to find the individual amounts by understanding the combined ratio and using it to set up equations that can be solved for the values.

What is the method to find the individual values when given a combined ratio and a condition like one value being less than another?

The script suggests setting up the combined ratio and then using the given condition to find the difference in parts. By understanding the value of one part (unit) of the ratio, the individual values can be calculated by multiplying the number of parts each entity has by the value of one part.

How does the script approach a problem involving ratios and ages?

The script approaches age-related ratio problems by first finding the combined ratio of the ages and then using the given age difference to determine the value of one unit of the ratio. By multiplying the number of units each person has by the value of one unit, the individual ages can be calculated.

Outlines

00:00

📚 Introduction to Ratios

Ravi Prakash introduces the concept of ratios, explaining that ratios are a fundamental topic with applications in various mathematical chapters. He uses the example of dividing 56 rupees between two people, A and B, in the ratio of 4:3. The division is broken down into parts, where the total parts (7) are calculated, and then each part's value is determined. The ratio is represented as A parts to B parts, and the value of each part is calculated based on the total amount divided. The paragraph emphasizes the literal meaning of ratios and how they are used to divide quantities.

05:01

🔢 Understanding and Combining Ratios

This section delves into the concept of combining ratios. Ravi uses an example where different amounts are divided between A, B, and C in various ratios. He explains how to find the combined ratio by aligning the parts of B in both ratios and then determining the equivalent parts for A and C. The process involves finding the least common multiple (LCM) to make the comparison easier. The paragraph also discusses how to combine multiple ratios by following a pattern where the numerators and denominators are combined sequentially to form a new ratio. This method is applied to solve a problem involving the distribution of money among A, B, C, and D, with a given condition about the difference between B and D's shares.

10:01

🧩 Applying Ratios to Problem Solving

The paragraph focuses on applying the concept of ratios to solve a specific problem where the ratio of amounts with A, B, C, and D is given as 3:4. Ravi demonstrates how to calculate the individual amounts by first determining the ratio values for each person and then using the given condition that B gets 30 less than D to find the value of 'K'. Once 'K' is found, the amounts for A, B, C, and D are calculated by multiplying their respective ratio units by the value of 'K'. The solution is presented in two methods, providing clarity on how to approach ratio problems.

15:02

🎓 Combining Ratios with Age Problems

This part of the script applies the concept of ratios to solve age-related problems. Ravi presents a scenario where the ages of A, B, and C are in the ratio of 2:7:9 and 12:8:11, respectively. He shows how to combine these ratios to find the individual ages by first aligning the common ratio part (B) and then calculating the equivalent age units for A and C. The problem is solved by determining the value of one age unit and then calculating the ages of A, B, and C based on their respective units. The paragraph concludes with a clear explanation of how ratios can be used to solve age problems.

20:05

🔄 Converting Fractional Ratios to Integers

The final paragraph discusses how to handle ratios given in fractional form, such as 1/2:1:4:1/5. Ravi explains that it's often easier to convert these fractions into integers to simplify calculations. He demonstrates how to find the least common multiple (LCM) of the denominators to convert the ratios into whole numbers, making the problem easier to solve. The paragraph emphasizes the importance of converting ratios to a simpler numerical pattern to facilitate problem-solving.

Keywords

💡Ratio

A ratio is a quantitative relationship between two numbers, indicating how many times one number contains or is contained within the other. In the video, the concept of ratio is fundamental, used to explain how to divide quantities, such as money, among different entities according to a given proportion. For instance, dividing 56 rupees between two persons A and B in the ratio of 4:3 means that A receives four parts and B receives three parts of the total seven parts, with each part being worth 8 rupees.

💡Proportion

Proportion refers to the concept of equality in ratios, indicating that two ratios are equivalent. The video uses the term in the context of combining ratios, such as when explaining how to find the combined ratio of A to B to C when given separate ratios for A:B and B:C. The process involves aligning the parts of B in both ratios to find a common scale, which then allows for the calculation of the combined ratio.

💡Variation

Variation in this context likely refers to the changes in values or quantities in relation to the ratios. Although not explicitly detailed in the provided script, variation could be relevant when discussing how different ratios can affect the distribution of quantities or when explaining how ratios can be scaled up or down while maintaining their proportional relationships.

💡Fraction

A fraction represents a part of a whole, expressed as a numerator (the part) divided by a denominator (the whole). The video script connects fractions to ratios by illustrating that a ratio can be written as a fraction, emphasizing the mathematical equivalence between the two. For example, the ratio of A to B being 4:3 can be written as a fraction 4/3, indicating that for every 4 parts A receives, B receives 3.

💡Distributing

Distributing in the context of the video refers to the process of dividing a total quantity according to given ratios. The script provides examples of distributing money (e.g., 56 rupees) among different individuals based on specified ratios, which helps in understanding how ratios can be used to allocate resources fairly or according to a predetermined scheme.

💡LCM (Least Common Multiple)

The Least Common Multiple is the smallest number that is a multiple of two or more integers. In the video, LCM is used as a method to convert ratios with fractions into whole numbers, which simplifies calculations and makes it easier to understand the distribution of quantities. For example, converting the ratio 1/2:1:4/5 into whole numbers by finding the LCM of 2 and 5, which is 10, and then multiplying each term of the ratio by 10.

💡Combining Ratios

Combining ratios is the process of finding a new ratio that represents the relationship between more than two quantities when given their individual ratios. The video explains how to combine ratios by aligning the parts of the common term in each ratio and then calculating the new parts for the other terms. This is demonstrated when the instructor combines the ratios of A:B and B:C to find the combined ratio of A:B:C.

💡Numerator

The numerator is the number above the fraction line in a fraction, representing the parts of the whole. In the video, the numerator is used in the context of combining ratios, where the instructor explains that the combined ratio for a certain term is the product of all the numerators from the individual ratios.

💡Denominator

The denominator is the number below the fraction line in a fraction, indicating into how many parts the whole is divided. The video script uses denominators to explain how to combine ratios and convert them into whole numbers, such as when finding the combined ratio of A:B:C and converting fractions to whole numbers by using the LCM.

💡Units of Ratio

Units of ratio refer to the individual parts that make up the whole in a ratio. The video uses the concept of units of ratio to calculate the value of each part based on a given total amount and then uses these units to determine the quantities for each entity in the ratio. For example, if the ratio of A:B is 4:3 and the total amount is 56 rupees, the value of one unit of ratio is calculated, and then multiplied by the number of units for A and B to find their respective shares.

Highlights

Introduction to the concept of ratios and their significance in mathematics.

Explanation of how to write ratios and their application in fractions.

Practical example of dividing 56 rupees between two persons in a 4:3 ratio.

Understanding how to calculate the value of each part in a ratio.

Demonstration of distributing 171 rupees between two persons in an 11:8 ratio.

Clarification of the meaning of ratios through the division of money.

Introduction to the concept of combining ratios.

Methodology for combining ratios of different quantities.

Explanation of how to find the combined ratio of A:B:C when given separate ratios.

Technique to combine multiple ratios using a systematic pattern.

Application of ratio combination in solving a problem involving distribution of money.

Solution to a problem where the ratio of ages is given and one person is older by a certain number of years.

Method to convert ratios with fractions into whole numbers for easier calculation.

Strategy for solving problems when ratios are given in fractions and how to simplify them.

Conclusion and summary of key points about ratios and their applications.

Transcripts

[Music]

hi everyone my name is Ravi Prakash and

welcome to the first class of ratio

proportion and variation okay so we'll

start with the ratios will start with

ratios okay it's a very good topic and

its application is in other chapters

also so ratios okay see in fraction if

it is a by B in ratio it is written as a

H to be right if you're not going higher

mathematics these are literal meaning of

fraction okay a by B is in the ratio of

A to B okay same thing right so they

like we're dividing something let's say

if I'm dividing 56 rupees fifty six

rupees in between two persons a and B in

the ratio in the ratio for each two

three so what we actually think actually

thinking is that 56 is divided into

total 4 plus 3 7 parts okay what we're

actually thinking is 56 strip rupees is

divided in to total 7 parts okay

one part is rupees 56 sorry seven part

is replace 56 okay the seven parts is

replaced 56 so one part of this ratio is

rupees eight if one part is rupees 8 so

for part is rupees 32 4 into 8 32 and

three part is 3 into 8 24 right this is

a literal meaning of ratio so I'm

dividing something let us say 56 rupees

in the ratio 4 is 2 3 in bitter 2 in

between two persons a and B okay so that

means a is getting 4 parts and B is

adding three parts so total seven parts

is to be distributed okay out of those

seven parts those survived value of the

seven part is equal to how much is equal

to 56 rupees if that seven part is equal

to 56 rupees so one part is equal to

rupees eight one part is rupees they

tried so one part of ratio represents

represents rupees eight

so for part is 32 three parts is 24 okay

now

similarly suppose editing is some other

number it's do it quickly actually okay

so let's say this 171 I'm distributing

evident to persons a and B in the ratio

in the ratio 1182 it such that a is

getting eleven part and B is getting

eight parts so here same thing in total

11 PERT plus 819 parts right total 11

Plus 8 19 parts is equal to rupees 171

so 1991 71 that means one part is equal

to rupees nine if one part is rupees

nine so eleven part is replaced 99 and

eight part is what rupees 72 8 into 972

right so 99 plus 72 is 171 okay this is

the meaning of ratio okay meaning of

ratios so what we actually do is what we

actually do suppose and dividing rupees

fifty six or rupees let's any example

with fifty sixty four in between two

persons in the ratio of a and B in the

ratio of seven eight to nine so now what

you do so I because the ratio increase

in the same same multiple right that

means if a is getting seven parts and B

is getting nine parts this is a ratio

okay so they can a can that means a will

get a multiple ultimate what ultimate

number will be a will be getting in a

multiple of seven that is 7 K and B will

be getting in a multiple of nine eight

is nine K there's a meaning of it right

7 k + 9 0 16 K is equal to 64 so k is

equal to 4 right so k is equal to 4 so a

gets that means k equal to 4 so a hits

how much a gets 7 into 428 and B gets 9

into 436 this is the fundament it ok so

this always write this K and K should be

same ratio ratio increases same multiple

right that means basically see how the

ratio comes if I'm cancelling right 10

by 15 so a has 10 rupees B has 15 Rubio

- the ratio 10 by 15 okay

a has ten rupees and B has 15 rupees so

the ratio is ten by fifteen if I cancel

by 5 2 y 3 so I get okay I say ok 2 is

to 3 ratio but I have cancelled by same

amount right so if I can if I want to

come back to 10 in 15 I have cancelled

by 5 so this is 2 into 5 this is also 3

into 5 so this is nothing but this is

nothing but 2 K and 3 K if something is

in the ratio of 2 to 3 I can assume is

that 2 as given as 2 X + 3 X or 2k + 3

kids okay this variable should be same

correct now come to the main point

now suppose suppose this a is to be some

amount is divided among a is to be

between a is to be is in the ratio 7 is

to Kate okay and some amount is divided

between B and C in the ratio 12 H to 13

so from here I want to get what is the

ratio what is the ratio of combined

ratio of H to be H to see what is the

combined ratio of H to be to see right

so quite easy to do it actually we say

okay if a has got if a has got 7 then B

is 8 if B is 12 this a is 13 right so

what we assume here we assume that okay

what is B so let B be a number B right B

is the same in today here but

representing two different numbers 8 and

12 8 and 12 right so I'll try to make it

same so that number can be same at their

LCM or let's say phone I can simply

multiply right because it will it arrive

a result from there also so 8 down let's

say B is what B is 8 into 12 okay so how

much a will become so for a for a B is 8

and for a B has become 12 times that

means a will also be with a a will also

become 12 times right what is a 7 into

12 right now for C for C B is 12 and for

C B has become 8 times

so C will also become a time that is 13

into it as the ratio right so what is H

2 B 2 C here so a is 2 B hoc is nothing

but 84

- 96 h2 1:04 okay now here it's Edwin

cancel the common ratio ready to cancel

at common ratio so it will be cancelled

by I think through - so 42 48 and 52

another time into that is 21 24 and 26

therefore a is to be hit to see is what

21 8 to 24 H - 26 right that means total

suppose a is getting 21 parts in B is

getting hit in 24 parts and see is

getting 26 parts right very important

point to combine two ratios okay now see

on the same pattern we can combine

multiple ratio I can combine multiple

ratio as well right for example let's

say a is 2 B is some 2h 2 3 okay

B - C is some 4 h - 5 C is 2 D is 6 6 to

7 and take one more like T is 2 e is 8

is 2 9 try to 92 combine it right what

is the ratio of or I can write here

itself what is the ratio of a is 2 B a

is 2 B is to C is 2 B is 2 e what is the

ratio C now we discuss this point in the

last video right suppose only 2 ratio is

given H to be 1/2 H 2 3 and B is to C

was 4 is 2 5 so what is the ratio of A

to B to C so a is 2 B to C is what no B

here is 2 3 B here is 4 so I take B as 3

into 4 so a becomes what a becomes 2

into 4 and C becomes 5 into 3 so this if

you observe here what is a here a is 2

into 4 a is 2 into 4 that is combination

of all the numerator numerator means if

I had 2 to 3 as 2 by 3 and 4 is 2 5 x as

4 by 5 so 2 & 4 here are the numerators

okay so a is like 2 into 4 B is now

first denominator and second numerator

that is three into four

okay so B is 3 into 4 and C is again 3

to 5 all the denominators okay this is a

general pattern in pattern into ratios

we can find It button in three ratios

then for each was right so that's why

we'll write directly here those with

that pattern a here is like 2 into 4

combination of all numerators so if I

did if I write 2 is 2 3 s if I write 2

is 2 3 s 2 by 3 this is 4 by 5 then this

has 6 by 7 and this is 8 by 9 okay so

what is a basically so a is combination

of all numerators Attis a is 2 into 4

into 6 into T this is value of a 2 into

4 into 6 into it right now listen

carefully very carefully for B how will

you write for B how will you rate for

like B I shifted right I shifted here

one place here and 3 into 4 that is

first denominator and next numerator so

here since B will combined all the four

ratios so if I shift here so B will be 4

denominator that is 3 deliberated and

left all numerators that is 3 into 4

into 6 into it so B is 3 into 4 into 6

into 8 4 C now for C now C C for C or do

you shift again 1/4 see you again shift

1 again shift 1 mins first to

denominator and next to numerators that

is 3 5 6 and 8 so C will be 3 into 5

into 6 into 8 4 D again same thing you

shift one more that means 4 3 numerator

denominator and large numerator that is

3 5 7 8 so D will be 3 5 7 8 3 5 7 & 8

what does e will be all all all the

denominator that is put a large ratio

here laughter sure is see oil derivative

that is 5 into 3 put a last ratio here 3

into 5 into 7 to 9 so E is what 3 into 5

into 7 into 9 so very important point we

have discussed here how to combine

multiple ratio

just make it a pattern here okay just

make it a pattern how to make a pattern

first is a okay first is gay what is a a

is the combination of all numerators so

a is the combination of all numerators 2

4 6 8 right now for B shift one short

one means first denominator and next

three numerators that is 3 4 6 8 for C

shift one more that also be right for XI

for C shift one more that is first first

2 denominator and next to numerator that

is 3 5 6 8 okay

for D shift one more that means first 3

denominator and last numerator that is 3

5 7 and 8 and for e if you shift one

more that automatically becomes all the

denominator that is 3 5 7 8 3 5 7 and 9

okay

so quickly you can make one example here

quickly right thing in mind suppose a is

2 B is 5 H 2 8 ok B is to C is 7 is 2 9

C is 2 D is for H 2 11 and B is 2 e is

is 7 is 2 or the strain is DeMayo to

repeat the number to get you confused

here and D is - he is what - is to 13 so

what is the ratio of a is 2 B is to C is

2 D is to e what is the ratio what is a

year basically all the numerators that

is 5 7 4 2 so a is 5 into 7 into 4 into

true it is be here all the no shift 1

for B shift 1 first eliminated and next

3 numerator set is eight seven four to

eight seven four two four C shift one

more that is first two denominators and

last two numerator that is 8 9 4 2 4 C 2

V 8 9 4 2 8 into 9 into 4 into 2 48 will

be again shift one more that means

basically shift 1 Mormons

first three numerator and the

denominator

eight nine eleven to so T will be eight

nine eleven - 8 9 11 - but he will be if

you shift one more all the denominators

right that is 8 9 11 and 13 so very

important concept it is very important

concept it is okay I hope it is clear

enough now see will apply this in a

question will apply this in a question C

question

a by B equal to B by C equal to C by D

is equal to 3 by 4 now if if B gets

rupees 3 0 head less than D okay find

the amounts with a b c and the okay so

question is some amount is distributed

among a b c and d such that K by B equal

to B by C equal to C by D equal to 3 by

4 okay this is given a by B equal to B

by C equal to C by D equal to 3 by 4 so

if B gets rupees 3 0 8 less than D what

is the value of a B C and D that is how

much amount is with ABC and D C what is

it what is this mean here this means

that a is 2 B is also 3 8 2 4 okay B is

to C is also 3 8 2 4 right and C is 2 D

is also 3 8 2 4 so I can quickly get a

ratio of ABCD a/b c/d

what is a here a here what is a is all

numerators 3 into 3 into 3 so a is 27

now B by shifting 1 that means what is

be first in weight denominator and next

row next two numerators so 4 into 3 into

3 so B is how much B is 36 okay third

one what is C here C is first two

denominator and next numerator that is 4

into 4 into 3 that is 48 notice B here B

is all all denominators that is fall

into fall into 4 64 this is a ratio of A

to B CH 2 CH 2 B so that means basically

now if I solve in this and ratio what

does mean that begets rupees 3 0 8 less

than D that means difference of B and D

is rupees 3 0 we understand difference

of B and D is how much rupees 3 0 8 that

basically means that what a difference

of B and D here in ratio it is 28 units

I can rake in ratio to 28 units or 28

parts right so in ratio difference of B

and D is how much 28 units or 28 parts

and those 28 units is equal to how much

rupees 3:08

okay so what is the ratio of oil value

value of ratio of 1 unit therefore one

unit of ratio is what it is 3:08 by 28

that is rupees 11 so if one minute a one

unit ratio is a rupees 11 for ratio what

is the value of a so a is how much a is

27 into 11 a is 27 units one unit herb

is relevant so 27 into 11 is rupees 297

this is the answer for a B for B 37 into

11 okay B has got 37 you 36 units so B

is 36 units

one unit is rupees 11 the 36 into 11

rupees 396 right

si si has got 48 units so 48 into 11 si

has got rupees 528 and D has about 64

units 264 into 11 DL Gautama trapeze

7:04 this answer right 297 396 528 and

7:04 it's a very good question and a

nice application of that concept here

okay it's a good question correct call

the method 2 will be now or the method 2

also again think of what is method 2 in

method 2 again same it's at least same

thing method to get assume this as a has

got 27 K so a has got 27 K B has got 36

K C has got 48 K and D has got 64 K now

difference of B and D so 28 K is equal

to rupees 3:08 same thing k equal to xi

k equal to 11 right so that's basically

the same thing you assume some K or X or

not that's basically the same thing

right

just to give you both conceptual clarity

I hope it is clear

yeah okay next one next one C ratio of

Ages of a is 2 B is 7 8 to 9 and ratio

of edges of B is to C is basically 12 H

to 11 okay 12 8 to 11 so if if C is 12

point 5 years elder than a elder than a

then find individual ages of a B and C

find individual ages of a B and C so you

can solve this question of easily I

think the ratio of a is 2 B is what it

is 7 to 9 okay

Joby's to see 12 is 12 and right so you

can write in the same line a is to B is

to C so a gets to B is to C it is H to

be 7 is to 9 and B is to C is 12 is to

11

what is the combined ratio so I can take

B as what 9 and 12 so B is what 9 into

12 what is C then 11 into 9 4 c b has

become 9 x + 4 a B has become 12 times

so what is b eh7 into 12 left cancel the

count on out here cancel 3 year in

cancel 3 3 4 John 3:3 J + 3 3 J what is

this become it becomes 28 is 236 8233 11

3 or 33 3 into 12

3632 for 28 right so ratio of a B and C

is how much 2836 and 33 simply in mind

now you can do you can do it now C is

12.5 years elder than a so C is in ratio

5 minutes elder than it so 5 units of

ratio is equal to 12.5 in years that

means one unit of ratio is equal to how

much 2.5 years that's it so you got the

area of a now what is the age of day so

age of a is how much age of a is how

much 28 units so 28 into 1.5 years

it's 28 into one four five front went

well is how much 42 years 28 + 28 to

half 14 42 years what is the age of B

now 36 years 36 units 36 into 1.5 years

that is 36 and half 18 that is 54 years

but is the age of C now 33 units to 33

in to 1.5 how much it is 33 and half

fifteen point five forty nine point five

years this is the answer a is B a and C

right so you will clear this concept

okay it's a very good concept of

combining ratios for this is like 413

ratio how

to combine multiple ratios okay now

suppose suppose sometimes the ratio is

given as a is to B is to C is half is to

1 by 4 is to 1 by 5 okay and some amount

every divide between a B and C so what

we can do normally is we can assume

amounts as it's a right ABC has a

half-ish to 4 1 by 4 is to 1 by 5 so I

can take okay a has 1/2 K that is K by 2

B has K by 4 and C has ky5 right if a -

B - C is in the ratio of 2 is to 3 to 4

that means 2 K 3 K 4 K so it is in

fraction doesn't matter into K into K

into K okay but this will be linear so

we'll not prefer this method does it

will end there right so what is the best

way to convert this fractions to convert

these fractions into integers to convert

this fractions into integers right that

means this a is 2 B is to C can be

multiplied with right there common

numbers to convert them into integers by

what number to multiply to multiply with

the number which will cancel - 4 and 5

so LCM of 4 and 5 all the right common

multiple of 4 and 5 2 4 and 5 so 2 + 4

sm is for only 4 and 5 what is I the

same 20 so multiply by 20 20 20 20 what

you look at will get ABC as 10 is 2 5 8

2 4 so this is the same ratio this is

the same ratio as 1/2 is 2 1 by first to

5 right this is much easier to solve

this is much easier to solve in fraction

it is difficult to solve capital

calculation will be more right that

means always convert to this new

numerical pattern and solve the question

ok wherever it is given in fractions

right okay

so we'll continue all the concepts of

ratio in the next video thank you

[Music]