Alligation & Mixture 4 | Arithmetic | Quantitative Aptitude | CAT Exam Preparation 2024
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- Опубликовано: 6 мар 2019
- CAT PREPARATION 2024 I QUANTITATIVE APTITUDE PREPARATION for CAT 2024
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i am a student of IMS coaching center but i never failed to see rodha sir video......i find it very useful than any other coaching center videos and application .....thank you soo much sir ur amazing
I miss my ims live lectures and watch his lectures instead, His teaching is way way better.
In x y z qst. Why can't we just add 70 81 90 and divide by 3 to get avg. ?? Why so much calc
@@ydissidy8112 bcz avg =no. of students *marks divided by no.of students
and here x,y,z are not individuals x,y,z are the classes
@@ydissidy8112 we can do that only if number of student in each class is same. But here as we can see ratio comes out as 10:12:15
Even me bro, he is super amezing, I wish all the Bros get into IIMs ❤️
There was a time when i used to have a phobia of maths....every time when i used to see a single quants problem , i was like ???? And then one day when i was suggested by a friend of mine to watch Ravi sir's videos ,with every new video that i see i feel '' ab kuch naya concept seekhne ko milega'' maza aaega.....Now quants has become such an easy game. Thankyou SIR for the efforts that you are giving and providing the free material to people like us. Means alot .
Which college did you got ???
@@krutikasharma9116 XLRI
Thank you so much sir. You are the best educator. You explain in such a way that anybody can understand the toughest topics. The way you have been giving us all the CAT related content & that too free of cost is just truly commendable. We will be forever grateful for your hard work sir. May God fulfill all your wishes 🙏
This is an awesome video. The explanation of Ravi sir is very good. Till now I won't able to solve these types of questions but after this video, I have solved them so quickly. Ravi sir pls upload few more types of questions. Thank you Ravi sir!!
So Helpful , ONE OF THE BEST ONLINE MATERIAL
THANK YOU SO MUCH RODHA CLASSES
Which college did you got ???
A big thanks to you sir . You don't what you are doing for all of us
You are the best 👍💯
We got you thats our destiny alhamdulillah ❤
15:23 🗿🗿was no joke.
All hail down to the "Ravi Sir" 🙇🏻
but the answer is 82 since nearest integer to 81.6 would be 82
Calculation Speed God Level :))
Sir..the last question was very beautiful 🥰❣️
in the last question of the video, I tried solving it this way, someone validate if this could possibly be the approach.
SP: 1st______28______2nd
4 : 3
28 - 1st : 2nd-28
by solving above proportion, we get 4 x 2nd + 3 x 1st= 196
in a way we can say combined SP comes out to be 196( no point in further trying to find individual SP's)
Given: CP of 2nd= CP of 1st + 3
hence, Combined CP= 2 x 1st + 3
now, putting Profit formula
Given P%= 40% ( of the mixture, i.e., combined profit)
P% = 40% = (196 - Combined CP)/ Combined CP
(Combined CP= 2 x 1st + 3)
After solving, CP comes out to be 1918/28 = 68.5 // Answer to the problem
Great👍
i didnt understand anything
Sir you are literally our saviour
Sir can you please explain replacement method in mixture and alligation??
Very Interesting Questions
Thank You Soo much Sir
The concept of Profit and Loss Questions have been explained in full detail in the below link in the most simple and innovative manner.
ruclips.net/video/sK6SkqSI_Tc/видео.html
The correct formula is q1/q2 = p2-p/p-p1
So inverse 1/4..is correct
Or
W1*d1=W2*d2
same confusion here i think in place of 4/1 it would be 1/4 and answer will be 100/3.
and in the last question it will also contain 4/3 instead of 3/4 am i right?
In the last ques if we convert 2/7in percentage it becomes 28.72 and in earlier percentage ch we used to just minus that percentage from sp to get cp
You can do it by assume method, C.P =100
Will you please explain me this step. How did we get 2/7 ..
Please 🙏
@@All_toons23 Did you get this?
I'm also struggling
Now ravi prakash sir in Unacademy
sir for first question : 36 kg of grape turned into x kgs of dry grape ...we can solve it easy
like ......fresh grape has10 percent which is 3.6 kg ...and pulp of a dry grape is 72 percent ...hence for one kg it ll be 720 grams ....so 3.6 kg / 0.720 grams = 5kg ....
In last question how 2/7 is decrease ,where 2/5 is increase on cost price?
Sir in avg marks of three classes XYZ. what you found out is the average marks of all the students irrespective of the class. whereas the question says to find the avg marks of three classes
please explain the calculation of 2/7
In the last question anshwer should be 131/7 because q1/q2= p2-p/p-p1
You are a Gem Sir🎀
General Male Engineer 💀
@@fifamultiverse2055😂😂
in 17:24 question about x and 100-x, x is bigger so it should be x-60 and 100-x smaller so 60 - 100-x
Same doubt! because in the first class sir taught the concept that more the weight, less will be distance, i.e. weight is inversely proportional to distance.
Your concern is correct , but in this , it will not impact much because , both the minus , minus will cancel out each other and give us the same result , you can try
sir in the 2nd question, can we calculate x:z with the help of x:y and y:z and then calculate the avg of all classes by summing the avg of x and y, avg of y and z and avg of x and z and then divide by 3 as the answer is coming 81.33 and closest will be 81. just wanted to know , is it necessary to use x:y:z and then use the conventional method?
what you found is the avg marks of three classes but sir solved the question for avg marks of total students irrespective of the class
Thank you Sir 🙏🏼❤️
You may join any coaching institute but end of the you need to come here ❤❤
Fr
Sir,please clearify ..You have said in the earlier coceptual videos that in sea saw method the lighter weight will have more distance from the middle point but in this video you are saying that the weight of the person will be more whose distance is more.
he must have said it by mistake
sir 2nd question mai nearest integer manga hai ... us hisab se to 82 hona chahiye na answer?
are these videos enough for nmat?
Nice questions sir
Thank You sir! 😁🙏🏻
can someone please help.....
here in ques2 why cant we take average weight of all 3 sections as (70+81+90)/3.
In averages part4 video question2 ravi sir himself has taken average weight of 2 classes as (w1+w2)/2 when their individual averages were w1 and w2
Sir in one video you used the term 2/5 increase 2/7 decrease and on one question you used the concept of one digit shifting am not sure which video had those lessons can u plz help?
Sm problem 😕
u can use direct formula of alligattion in last two question instead of using this method it will save your time
Can someone explain 22:11 why we decrease 2/7.? I got it, Always on a increase of N/D there is decrement of N/N+D,, even sir is said in the video,, but I didn't listen it..
Kehna kya chahte ho :D
better do that by 1.4CP=28 so CP will be 28/1.4 i.e. 20
Thanq sir
. A 10 liter cylinder contains a mixture of water 1 and sugar, the volume of sugar being 15% of total volume. A few liters of the mixture is released and an equal amount of water is added. Then the same amount of the mixture as before is released and replaced with water for a second time. As a result, the sugar content becomes 10% of total volume. What is the approximate quantity of mixture released each time?
Can you solve this Sir?
completed this lecture.
15:40 maine solve kiya calculator par answer 81.67 aaya toh neatest integer 82 nhi hoga ??
incomplete alligations and mixture , not all the videos are posted
Thanku sir
if x is less than 60 then how x can be equal to 200/3....if we solve it by (p1q1 + p2q2)/(q1+q2) then we get x=100/3
100-x value is 100/3
you can do it both ways because the minus values would cancel out each other anyways.
thank you so much
16:05 sir ye wala question hum average ke method se bhi kar sakte hai kya
I think we can do second question with averages formula avg=sum/no of terms
This is the fastest way i guess
probably i also think that... but i was sceptical
You will get the right ans from wrong method. So dont take any chance
thank you
Super clear
First time i saw u using hindi word MANLO🙄😆
In 15.30 answer is 81.6 so the nearest integer would be 82, am I right?
Thankyou sir
In 24:32 isn't the answer 131/7 instead of 128/7
Why we can't do 2/5 of 28
Hi, In the last sum you mentioned a 2/7th decrease in the SP value. I have completely failed to understand that portion. It'll be great if anyone can explain that in the comments? How are we getting the 2/7th decrease in value if 40% increase is 2/5th in a fraction?
In x y z qst. Why can't we just add 70 81 90 and divide by 3 to get avg. ?? Why so much calc
यह चीज सर कभी एक्सप्लेन नहीं करेंगे
Hii, can you explain me how we are getting 2/5 fraction increase in 40%
@@vishalshah333 भाई इस चीज का आप इंडिविजुअल ली सर्च करके आंसर समझ सकते हो यूट्यूब पर सर्च करना कॉस्ट से सेलिंग प्राइस आने पर या सेलिंग प्राइस कॉस्ट प्राइस पर जाने पर कितना प्लस माइनस होता है मिल जाएगा आंसर भाई मुझे भी नहीं पता सर ने एक्सप्लेन ही नहीं करी
It's like basically sir has given formula thike.. Agar cp se sp increase ho rha he% toh n/d and sp se cp decrease hoga% toh n/d+n... Here n is Numerator and d is denominator... Abhi 40% ka ratio sir ne direct isliye bataya 2/5 kyuki he remembers.. It or use logic behind it woh aapko unke lec dekha padega percentage wale.. And upar 2/5 he like n is 2 d is 5 toh neeche n/d+1 hoga right toh 2/5+2 hua isliye 2/7 aya so bas.. I hope I am helpful thoda
sir why cant we solve first question as 38% of 36 kg?
Almost Every typ of alligation and mixture are solve by the weighted method.
Yeah, exactly. I am using that only for most of the questions. It's very helpful!
thank you sir,,,,,,,
Solving last question by allegations is very easy:
(X+3-20) / (20-x)=3/4
answer comes out to be 131/7 this way, but sir has shown 128/7, what's the correct answer
Sir Classes XYZ question mein 3 class ka average pucha tha, to agar 76 (avg of X & Y) and 86 (avg of Y & Z) ka average nikal ne se answer aa jata hain. 76 + 86 divided by 2 i.e 162/2 = 81.
I know it's a silly query but can anyone explain How to know which quantity to take? For ex in last question why can't the quantity of x be 4 instead of 3?
Answer to your question lies in the mixtures and allegation lecture -1
At 15:39 answer should be 82
Nearest integer is 82 in 2nd que
correct
Does anyone know why the answer at 15:40 is 81, and not 82? The actual answer comes out to be 81.67, which should be rounded off to 82. But in CAT, if your approximation deosn't match the answer key, it is wrong. Can anyone clarify, please?
sirji did not calculate it fully. and yes, after approximations it should've been 82. but i hope you heard that sir said " it should be 81 point something, thus 81 is the answer"
The answer to the question is asked in an integer form, so 81 would be the answer as it's the closest integer rather than 82.
@@Fazeyash no, 82 is closer to 81.66 than 81.
its 81.65 so nearest int will be 82@@yashvardhanchopra_0406
How we do 3022/37... please reply
You have not uploaded practice videos on percentages.
Why pulp in FG=Pulp in DG? DG has 72% pulp?
Bec. water andar aanae sae full jayega aur nikalnae sae pichak jayega but pulp to same rahega like water in balloon, with water it's vol will rise and with no water vol. will be less but its perimeter (elastic part) will remain same
when we have to take difference ratio and actual ratio??
Hey, did you cleared CAT 22?
25:31 so maan lo🤣😂
The answer of first question is 81.67, so nearest integer should be 82 right?
yes
for 2nd question answer can be achived by given averages 76+86/2 = 81
@banisetti saiteja 15:59 new question :: replace question with 76 with 72 and replace 86 with 82 and by ur method tha ans will be (72+82)/2=77 , and by sir's method it was 88.5 .
by sirs method also answer will come 72.4, how did you get 88.5? can you please share
@@realmetab-jd6fd
And in comment section many people said that answer is 82 bcoz approximation is 81.66 as nearest integer is 82
According to this method answer is exactly come 81 .
14:17 sir ratio sayd 5:6:9 hoga
nearest integer would be 82 right? 3022/37=81.68 ~ 82
No we can not round it off like that. In such question, we take pre exisitng values i.e. 81. Because 82 does not exist but 81 is already existing with 81.68. So 81 is to be chosen.
@@vaibhavgautam2416 82 is correct
@@vaibhavgautam2416 Basic maths 101: when the first digit after the decimal point is 5 or greater, we round it off to the next integer.
Sir you said we've to judge which value is greater between x and x+3 , but in the previous question how did you judge which value is greater between x and 100-x ?
In his earlier video he has explained whoever weigh lesser will sit farther from the ∆. His equation is wrong in 100-x% question.
I m also confused.....
I might be wrong but this works for me:
According to his approach if we have 3 values A------B-----C then the Distance between B & C will be C-B and A& B will be B-C. This is because even if you check it by Alligation Mapping, you'll get it as P2-P (C-B) / P-P1 (B-A) = Q1/Q2 where Q1 & Q2 are Weight ratio, reciprocal of the Distance ratio. Let me know if this is helpful.
Yes, Sir is wrong on that part but the good thing is if you solve by correcting the equation you'll still get the same answer, i.e., (100-x)% ------[60]%--x%. And the new equation would be [60-(100-x)]%/(x-60)% = 4/1.
@@anshul5431 yes , tried it before , got the same answer
Cost Price = Selling Price - (Profit Percentage * Selling Price) In this case, the selling price is $28/kg, and the profit percentage is 40%. First, convert the profit percentage to a decimal by dividing it by 100. Profit Percentage = 40% = 0.4 Now, use the formula to calculate the cost price: Cost Price = $28 - (0.4 * $28) = $28 - $11.20 = $16.80 Therefore, the cost price of the item. So how is it 20? , this is last question
Sp=cp + profit..
So here selling price is given which is 28 and profit % is 40% ..nothing is mentioned so we take the percentage on cost..but in this ques we have to find cost..we apply the % on selling price i.e 28× 40/140= 8 ..8 is the profit..then we have to minus the profit from selling price ..we will get 20 as cost..hope this will help uh😊
Sir can we find the answer through dis route :
avg of X and Y is 76 &
avg of Y and Z is 86
so (76+86) divided by 2 = 81 (answer)
total avg of classes X , Y , & Z is 81.
Exactly idk why to make it this lengthy by using alligqtion
13:20 please explain I didn't understand that combination of ratios please anyone explain me
Look for his course on ratio and proportions it’s there
X:y = 5:6 y:z =4:5
Here Y is common in both so we need to make it equal. So we multiplied LHS(whole ratio) with 4 (ie. Coefficient of y on the other side) amd similarly RHS with 6 and that's how we got the value of Y same in both cases ie. 24 .
Hope it helps!
X:y = 5:6 y:z =4:5
Here Y is common in both so we need to make it equal. So we multiplied LHS(whole ratio) with 4 (ie. Coefficient of y on the other side) amd similarly RHS with 6 and that's how we got the value of Y same in both cases ie. 24 .
Hope it helps!
I think in the last question what you were trying to teach while taking the greater number for difference is not necessary, we can assume any value to be bigger and still get the same answer as it is in ratio, so minus we can take common and cut, it will make no difference.
In last question it should be 4/3 should be used..correct me if i m wrong
Noo sir has taken 4/3 only just it is ulta u know like he first written right side and then left side that's why 3/4
@@ritikagaddellu7938 thanks..although i dont remember the question and i have cleared my entrance
@@ritikagaddellu7938 yes yes i may have got it later
in the first grape question after finding the amount of pulp in dry grapes from 36 kg fresh grapes aren't we supposed to add 28% water to get amount of dry grapes ?
as in 36 kg fresh grapes there is 5kg pulp then + 28 % water
No that's the reason why we are only taking the const part in consideration and not the variable part that is water ...we are taking only pulp from fresh grapes and pulp from dry grapes .
Too late to answer ig
That x:y:z how it comes?can anyone help me..in 2nd question
You have to multiply y so it becomes equal in both and then multiply there ratio by that multiple only so it will become x:y:z
@19:22 min if x=66.67% then 60-x can't be true. please explain, correct me also Sir. Thanks
Yes I m also thinking the same
Both harsh and vansukh, don't look only at 60-X, loot at 40-X also. Both of them will give negative results ( it's basic math right, small number - big number = negative ), but they're in a fraction, i.e, 40-X / 60-X . So negative/negative will cancel out, and will give positive results. I hope that helps
I didn't understand the 2/7 part of the last question. Can someone pls help me understand this part?
Hlo bro
@@minik__vibezhere Hello bro
@@MONIRULISLAM-wr9zt are u recently start ur preparing?
@@minik__vibezhere yes brother
Yeah me too
4:24
If SP is 40% profite so CP is 2/5time less why 2/7
Can anyone explain 22:05
Try this method, SP = ((100+profit)/100)*CP
So here, CP = 28/1.4 = 20
Edit: this is from nishant's quant book
increase is 2/5 is understandable but why decrease 2/7 i have no clue can anyone explain
Watch percentages and profit loss-3 it's in this playlist that would help you understand
28-40% = 16.8
Then how come we took 20 as cp in the last question?
same how??
the question is saying that he's selling mixture at 28₹ while getting 40% profit
so 40% of 20 is 8 soo 20+8=28 is selling price and while 20 is actual price🙂
@@ShouryaPratapSinghRathore bro I am in 2nd year will i have 2 Years for cat exam ..I am preparing for cat 2024...can a get a baby iim like iim nagpur ..I am obc category student
@@Ket4nyes. Target 99 percentile you will surely get calls
Sir in second last question if x is smaller than 60 then how x is 66.67, it was confusing. Can someone explain?
Middle one is always the resultant which should be between the 1 and 2nd
Sir if the value is 81.6 then what will be the nearest integer ? 81 or 82 ?
82
it will be 82
82
Sir doing each question in a different method is confusing 🫤
How u calculated the cost price ?? We are non engineer background......These small jumps become hurdles....
Watch their PPL videos, they have explained every detail with lots of clarity
Even I'm from non engineering bg, initially i found it very difficult, but if you watch all their videos from the beginning, all these small shortcuts become very easy to understand
@@sahanasamantha3351 can u pls share the link of the same
You see 28 came after adding 40% profit. So 28 is at 140% of CP. So to arrive at profit, we used unitary method by dividing 28 by 140 and then multiplying with 40 (ie. 28 * 40/140 = 28* 2/7 ). Hope it helps!
In the last question why have u taken 2/7 instead of 2/5 ??
n/n+d se decrease krega
What plz explain in detail
@@devanshsaxena2077 hey expain in detail
@@devanshsaxena2077 hey now I understood TQ very much
@@tasneemkhatun5916 can you explain me?
13:16 how did sir multiplied that i didn't get it.
Since y got two different values, multiply the value of x with the 2nd value of y and similarily multiply the first value of y with the z value
can anybody tell me how did he solve x:y=5:6, y:z=4:5 to x:Y:z=20:24:30. how did he do that to that ?
Yeah. I want to know
Watch his ratio and proportion videos
Taking hcf of 4 & 6
Can anyone explain or get me the video explaining the x:y:z ratio finding?
X:y = 5:6 y:z =4:5
Here Y is common in both so we need to make it equal. So we multiplied LHS(whole ratio) with 4 (ie. Coefficient of y on the other side) amd similarly RHS with 6 and that's how we got the value of Y same in both cases ie. 24 .
Hope it helps!
For more clarity watch Ravi Sir's Ratio and proportion videos. I can't explain better then him
13:30 how did he equate x:y:z
can anyone tell me how it became 2/7 decrease at 22:06
Let solved it in simple method.
Here,
s.p = c.p. + P
S.p = 28
C.p = ?
P =40% i.e ,
P = c.p. × (P%/100)
Therefore,
28 = c.p + c.p (40/100)
28 = c.p (1+0.4)
C.p = 20😅
why did he take 2/7 in the last question??
You see 28 came after adding 40% profit. So 28 is at 140% of CP. So to arrive at profit, we used unitary method by dividing 28 by 140 and then multiplying with 40 (ie. 28 * 40/140 = 28* 2/7 ). Hope it helps!
Can someone explain why there is a 2/7 decrease in the last question?
See percentage video or just find cp in the way ou know
40/100+40
🔥🔥🔥🔥
the most difficult part is to differentiate what to put in distance method
especially grapes nd water
2 things mixed will give 3rd thing. Obviously dry grapes + water will give fresh grapes
@@Rodha In q4, the correct value of x in my opinion is 56 and 100-x will be 44. Only in that case the ratio is maintained to be 4:1 or 1:4. I've used alligation mapping and the equation I got was (x-60)/(100-X)-60=1/4. I did not account for one value being the larger or smaller one as the values are sign agnostic in the ratios anyways. 100/3 and 200/3 don't satisfy the ratio given in the question. Please let me know if this is correct
did not understand cost price increase and decrease 2/5 and 2/7 ? how?
This formula was taught in the percentage 4 video of the same playlist
@@sanskriti12342 ok
@@sanskriti12342 can you share the topicwise order to watch video? Percentage topic should be covered before this?
@@Batmannn06 i am watching there for csat (cse prelims). The order is given on understand upsc channel.