If you mix x litres of water to 12l of milk to increase from 20% to 40% water by volume. what is x?

Answer

Verified

Hint: This question has come from ratio and proportion. Here we will first obtain the quantity of both milk and water from given data. Then taking the quantity of water to be added as x we will equate the answer. We can also use alternative methods to solve this.

Complete step-by-step answer:

In the question it is given that,Quantity of the mixture is 60 litersThe ratio of milk and water in that mixture is 2:1Hence, the quantity of milk in the mixture is $\left( {60 \times \dfrac{2}{3}} \right) = 40 litres$And the quantity of water in the mixture is $60 - 40 = 20 litres$The needed new ratio of milk and water is 1:2In the question it is asked to add water in the mixture that means the quantity of milk will remain the same.Let the quantity of water to be added further is x litresThen the ratio of milk and water will be $\dfrac{{40}}{{20 + x}}$According to question, the ratio is $\dfrac{{1}}{{2}}$Hence, $\dfrac{{40}}{{20 + x}} = \dfrac{1}{2}$By cross multiplication we get,$80 = 20 + x$$ \Rightarrow x = 80 - 20 = 60 litres$Hence the quantity of water to be added is 60 litres.

Note: Error check: $\dfrac{{40}}{{20 + x}} = \dfrac{{40}}{{20 + 60}} = \dfrac{{40}}{{80}} = \dfrac{1}{2}$ (Error checked)

Alternative method- In the question it is given that,Quantity of the mixture is 60 litresThe ratio of milk and water in that mixture is 2:1Hence, the quantity of milk in the mixture is $\left( {60 \times \dfrac{2}{3}} \right) = 40 litres$And the quantity of water in the mixture is $60 - 40 = 20 litres$The needed new ratio of milk and water is 1:2Let in the new mixture, quantity of milk be x and quantity of water be 2xIn the question it is asked to add water in the mixture that means the quantity of milk will remain the same.Hence, $x = 40$ litresThen, quantity of water, $2x = 80$ litresQuantity of water needed to be added is $80 - 20 = 60 litres$.

Discussion :: Ratio and Proportion - General Questions (Q.No.5)

In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:

[A].	20 litres
[B].	30 litres
[C].	40 litres
[D].	60 litres

Answer: Option D

Explanation:

Quantity of milk =		60 x	2	litres = 40 litres.
3

Quantity of water in it = (60- 40) litres = 20 litres.

New ratio = 1 : 2

Let quantity of water to be added further be x litres.

Then, milk : water =		40		.
20 + x

Now,		40		=	1
20 + x	2

20 + x = 80

x = 60.

Quantity of water to be added = 60 litres.

Coolgal said: (Jul 4, 2010)
I DON UNDERSTAND..IN 2:1 RATIO MILK IS 40L AND WATER IS 20L..IN 1:2 RATIO,YOU CAN JUST SAY AS MILK 20L AND WATER 40L NO?IF SO,THE WATER THAT IS TO BE ADDED FURTHER FROM THE PREVIOUS MIXTURE TO MAKE IT TO 40L IS JUST 20L NO..?WHY TO DO SUCH CALCULATIONS??

Anil said: (Sep 12, 2010)
Your plan and all is correct but your thinking is not correct.

Purvi said: (Nov 17, 2010)
in this que., it doesn't say that the new mixture's quantity is same as the before ones(60lr).Also we can't assume 60lr for the new mixture..So, as per the newmix. it's quant. is water : 2/3 : 80 lr milk : 1/3 : 40 lr ____________________ total: 120 lr

Ramesh said: (Dec 9, 2010)
Mixture = 60 litre ratio is 2: 1 , so milk:water=40:20 New ration= 1: 2 , means milk : water should be 40:80 Water in the new mixture should be 80 Less water already in the mix 20 Water to be added now is 60

Sonia Arif said: (Feb 10, 2011)
Thnks ramesh, you told a simple way.

Nikhita said: (Feb 22, 2011)
Why have you multiplied 60 (2/3) for quantity of milk? where did the 3 come from?

Lakshman said: (Feb 23, 2011)

We have 60 litres of mixture. Milk & water in the ratio 2:1 that means milk is 2 parts and water is 1 part. Totally mixture contains 3 parts(2+1=3 parts = 60 litres mixture).If we want to know the milk quantity thenwe have the general formula is Total mixture X (milk parts/total parts). Milk quantity=milk parts/total parts here milk parts=2 here total parts=milk parts+ water parts=2+1=3 Then milk quantity=2/(2+1); =2/(3)

=2/3.

Santan said: (Apr 17, 2011)
2:1 ratio of 60 litre is 40 litre milk and 20 litre water. i.e 40:20 so to get the ratio 1:2 we should have 40:80 hence we have to add 80-20 (i.e 60) litre of water.

Sandi said: (Apr 23, 2011)
Ramesh I did not understand, can you exp that again.

Emani Karthik Reddy said: (Jul 23, 2011)
Total milk&water mixture is 60lit milk&water ratio=2:1 separate milk =(2/3)60 =40lit water =(1/3)60=20lit new ratio is 1:2 only water added let x =>(40/(20+x))=1:2 =>x=60lit

Shriram said: (Sep 6, 2011)
Mixture = 60 litre ratio is 2: 1 , so milk:water=40:20 New ration= 1: 2 so , 40lr means 1 and x lr means 2 then make cross mul x = 40*2/1 x = 80 lr

Reynante S. Delima said: (Sep 9, 2011)
Where does the ratio 2/3 from?

Ruchi said: (Sep 16, 2011)
2/3 we can obtain from formula here a:b is 2:1. then the formula is use a/(a+b)

Preety said: (Oct 1, 2011)
Expline me how? It is very tough concept for me. I got confused.

Nirav said: (Oct 9, 2011)
How can we solve this by allegation rule. ? please can anyone explain me. ?

MYTHILY said: (Oct 10, 2011)
We can solve this simply part of water is 1/3 in 60ltr so 60*1/3=30 1 part is 30 then 2 part of same 60ltr is 60 ltr.

Sai said: (Jan 6, 2012)
A mixture contains milk and water in the ratio 5:1. On adding 5 litres of water, the ratio of milk to water becomes 5:2. The quantity of mil in the original mixture is A) 16 litres B) 25 litres C) 22.75 litres D) 32.5 litres Hey can anyone explain this for me ?

Sai said: (Jan 6, 2012)
@Sai 5x/(1x+5)=5/2 10x=5x+25 5x=25 I think 25 litres is the correct ans what do u say guys ?

Kartik Negi said: (Jan 19, 2012)
Let the ratio be 2x and 1x add it to get, 2x+1x=60 3x=60 x=20 now,milk=2x20=40ltr. and water=1x20=20ltr. we know that something is added to water.. therefore,new ratio is 1:2 after adding the quantity of water therefore,40/20+x=1/2 ( note that x=new quantity of water that is to be added) cross multiply it and u will get the ans. =60 Hence proved.

Prerak said: (Jan 28, 2012)
Good Kartik Negi your ans is right and simple..

Bagavathi said: (Apr 11, 2012)
With the help of first ratio 2:1 we find already milk 40 liters and 20 liters water (total 60 liter of mixture). But I don't why we taken 40 liters of milk is consider as 1 part for the new ratio (1:2). Actually in old ratio 40 liter is 2 part. Please any one clarify please.

Poorni said: (May 2, 2012)
Thank you karthik negi for your clear and crisp explanation.

Pallav said: (Jun 15, 2012)

@Bagavathi. In 60lts of mixture the ratio of milk and water is 2:1. It means 40lts of milk and 20 lts of water. In the question he just asked only how much of water is added to make the ratio of milk dan water to 1:2.

So the quantity of milk is unchanged i.e, 40lts. and the quantity of water required is 60lts. Now the total quantity of mixture is 120 lts in which 40lts of milk is 1part. In the old ratio the total mixture is 60lts so 40 lts of milk is 2part.

Krishna said: (Jul 10, 2012)
The original ratio is 2:1. That means 40 liters milk and 20 liters water. We have to add x liters of water so that ratio becomes 1:2. Here milk quantity doesn't change. So in 1:2 ratio. 1 part is equal to 40liters. 2 parts-------------------? 80liters. So the quantity of water to be added is 80-20=60.

Vinod said: (Aug 29, 2012)
Ramesh Nicely explained .....

Ramana said: (Nov 26, 2012)
Total Mixture 60 liter and ration of the milk and water is 2:1. Then milk is 40 lit and water is 20 lit. If you go options 40 has to be correct ? 40 : 20 => 40: 20+60 => 40: 80 => 1:2.

Ramesh said: (Jan 22, 2013)
How can we assume that the second ratio (1:2) given in the problem for next 60 liters ?

Piali Sinha said: (Jan 30, 2013)
Take it a simple way: 60 litre mixture 2:1 is the ratio means Mixture is divided into 2+1 = 3 parts i.e, 30lt *3 = 60lt Given 2:1 = milk: water = 40: 20 Now to make it 1:2 When 40:80=1:2 So, 80-20=60 lt water is added to bring out the ratio.

Raj said: (Mar 15, 2013)
Old ratio is 2:1. New ratio is 1:2. So new ratio is multiply by 2 we get 2:4 (because we want water only). Old ratio: 2:1. New ratio: 2:4. ----- 0:3 ----- So (3/sum of old ratio) 60=3/360=60 is the answer. This method can be applied to all problems like this.

Kavisree said: (Apr 9, 2013)

Total mixture is 60ltr which contains milk and water in the ratio 2:1, which means mixture contains 2 parts of milk and 1 part water. 2 parts + 1 part = 3 parts = 60 ltr. Therefore 1 part =60/3 = 20 ltr. Milk = 2 parts= 2* 20 =40 LTR. Water = 1 part=1 * 20 = 20 ltr. Now quantity of milk and water is changed in such a way to get the new amount of milk and water in the mixture as 1:2. Now the 1 in 1:2 represent that the amount of milk in the mixture is not changed and it is same as 40ltr. The change is in the amount of water. Here 1 part in 1:2 represent 40 ltrs of milk. Therefore 2 part 80 ltrs. That is we need 80 ltrs of water to get the new mixture ratio. We have 20 lts of water. Now additional 60 ltrs must be added.

So 60 ltrs is the answer.

Anu said: (Jul 9, 2013)
Total mixture x=60 ltrs. a:b=2:1(old ratio) c:d=1:2(new ratio). x(ad-bc)/c(a+b). = 60(22-11)/1(2+1). = 60(4-1)/3. = 60*3/3. = 60 ltrs.

Shrikant said: (Jul 19, 2013)
Here is one shortcut for such type of problems. Given quantity x lit. Ratio p : q. Ratio a : b. Formula is x(pb-qa)/a(p+q).

Rpv said: (Jul 24, 2013)
@Shrikant. Is this formula applicable of all type of problems?

Adnan Ahmad said: (Jul 27, 2013)
Guys can anybody help me with this problem. The length and breadth of a rectangle is 57m and 38m respectively. Find the ratio of the length to breadth.

Bharath Reddy said: (Aug 29, 2013)
If 60 liters of the water is added, then the mixture contains only water because the mixture is of 60 liters. What about the milk in the mixture?

Raja Sekharreddy said: (Sep 2, 2013)
(m1w1)/L1 = (m2w2)/L2. (21)/60 = (12)/L2. 2/60 = 2/L2. 2L2 = 120. L2 = 60.

Omkar said: (Sep 28, 2013)
Please correct if I am wrong. The above problem can be rather simply solved by elimination of the Options: Milk : 40litres. Water: 20litres. What value of water would you add to existing water so that it doubles compared to the quantity of milk (40 litres) present in the mixture : 20 + 60 = 80 (which is now double of 40) Hence 60 litres.

Ramesh said: (Feb 2, 2014)
Is there any shortcuts?

Biseswar said: (Mar 24, 2014)
Formula = x(ad-bc)/c(a+b). The required water = 60(22-11)/1(2+1) = 60 lit.

Kartik said: (Jun 27, 2014)
In first condition milk+water=40+20. Now new ratio is 1:2 means value of water is double from milk now milk is already 40 so the value of water is 80. This means we have to add 60 liters water.

Arnav said: (Sep 19, 2014)
Why 2/3 is used in calculations?

ABC said: (Nov 10, 2014)
If total Quantity is 60 litres then how will you add quantity of water 60 litres again?

Vasu said: (Nov 22, 2014)
Mixture of milk and water is = 60 liters that is milk:water. As per given ratio is = 1:2 that is 40:20. As per asking ratio is = 2:1 that is 20:40. Further added milk & water = 3:3 that is 60:60.

Ameya said: (Nov 23, 2014)

Total mixture is 60 litres. 1st ratio is 2:1 and the 2nd is 1:2. So, 1st ratio for milk would be 60x2/3 = 40. And water is 20(60-40). 2nd ratio is 1:2. So milk should be 60x1/3 = 20. And water is 40 according to the ratio. And we already have 20 litres according to the first ratio. So we only have to 20 more litres to the earlier one and we get a total of 40 (20+20).

So the answer should have been 20 instead of 60. If wrong please correct me.

Shipra Purohit said: (Jan 19, 2015)

Its very simple. Given mixture is 60 litres. Now given ratio is 2:1 and new one is 1:2. A:B Old - 2:1. New - 1:2. Value of A should be same so multiply 2 in new one. => new - 2:4. Now value of B differs so subtract them. 4-1 = 3. Now from formula we get: (60*3)/(2+1). => (60*3)/3.

=> 60.

Shonaa said: (Mar 27, 2015)
Am saying just simple formula for this. If an x liters mixture of milk & water the ratio of milk of water is a:b. The quantity of water to be added in order to make this ratio c:d is x(ad-bc)/c(a+b).

Manpreet said: (Jun 13, 2015)
Please I don't understand your method. Can you explain in simple way?

Sumit said: (Jul 9, 2015)
The answer is simple, when the ratio is 2:1 than quantity is 40 liters:20 liters and when it has to be made 1:2, then at 60 liter water. So the quantity of milk remains 40 liters and water is increases to 80 liters.

Lakshmi said: (Jul 17, 2015)
I didn't get 40/(20plusx).

Bharathi said: (Aug 12, 2015)
Anyone explain clearly I didn't understand.

Asad said: (Aug 26, 2015)
I don't understand 2\3.

Summy Khanna said: (Sep 8, 2015)
I can't understand this question. Can anybody tell me this question in very simple way?

Raji Dara said: (Oct 22, 2015)
Quantity of mixture is 60 liters. Ratio = 2:1 so, 40 milk : 20 water. Take the same quantity of mixture 60 liters. Ratio = 1:2. So, 20 milk : 40 water. Therefore the total quantity of water = 40+20 = 60.

Rakesh said: (Nov 17, 2015)
You can apply 4th std formula: Ratio: 2/1. 1/2. Liter: 60. (?). Then 1/2x60x2/1 = 60.

Surendra Kurapati said: (Nov 30, 2015)
2:1 ratio. M:W For milk: 2/360 = 40 lts milk. For water: 60-40 = 20 lts water. 1:2 ratio. M:W. For water: 2/360 = 40 ltrs water. What he is asked total water mixture i.e 20+40 = 60?

Mohitsharma said: (Dec 1, 2015)
Old: 2:1 mix = 60. New: (1:2)2 = 2:4. Water added = (160)/4-1 = 20. New mix = 20+40 = 60.

ABHINAV KUMAR said: (Mar 11, 2016)
ANOTHER WAY WE CAN SOLVE BY, Let quantity of water to be added further be x litres. 2:1 1:2 :: 60:x. (2/1)*(1/2) = 60/x. x = 60.

Shalinee said: (Mar 12, 2016)
Can we solve this question by Alligation method?

Vishakha said: (Apr 13, 2016)
Please tell me another way to solve this problem. I can't understand this way.

Eeshwari said: (May 26, 2016)
It's confusing please someone explain me to get the method of solving the problem.

Surbhi said: (Jun 5, 2016)
Can anybody please answer this question? The ratio of milk to water in the first container = 5 : 1. The ratio of milk to water in the second container = 7 : 2. In what ratio the mixtures of this two container should be added together so that the quantity of milk in the new mixture may become 80 %?

Ashok said: (Jun 28, 2016)
Very simple in inverted method says. a : b = b : a. i.e a/b = b/a so, answer is 60 the same.

said: (Jul 10, 2016)
2 : 1. 1 : 2 = 2 : 4, 3parts increases. 3parts = 60

Shubham said: (Jul 19, 2016)
Anyone tell me from where 2/3 come? Thanks, @Ashok.

Saadhu said: (Jul 21, 2016)
I can't able to understand the new ratio 1:2. Someone, please explain me.

Baby Rani said: (Jul 24, 2016)
I don't understand this mixture method. Please help me to get this.

Jomson said: (Jul 26, 2016)
Alligation. Take ratio of milk. 2/3.0. 1/3. 1/3.1/3. Assume x as the amount of water to be added. Therefore 60/x = 1/3 * 3/1. X = 60.

Karthick said: (Sep 5, 2016)
Can anyone explain it in an easy way?

Devi said: (Sep 13, 2016)
Hi, I am confused, please give me an easy way.

RAHUL PATIL said: (Oct 5, 2016)

Initial mix i.e, 60Ltr Old ration m : w :: 2 : 1 total parts 2 + 1 = 3parts of 60Ltr = 20Ltr. Hence milk = 2 * 20 = 40Ltr, & water = 1 * 20 = 20Ltr. But question is how much further or additional water is added to maintain the New Ratio 1 : 2 i.e, m : w :: 1 : 2 one should get Confused with initial mix i.e, 60Ltr. Method of Substitution : Already milk 40Ltr and water 20Ltr question is how much further or additional water is added to maintain the New Ratio 1 : 2. We have [A]. 20 litres [B].30 litres [C].40 litres [D].60 litres. Water should be 20 + either A,B,C,D but New Ratio 1 : 2 therefore w = 20 + 60 = 80 hence m:w = 40/80 = 1:2.

I hope you have understood the solution.

AJAY MISHRA said: (Oct 11, 2016)
Milk = 2/3 * 60 = 40; Water =1/3 * 60 = 20; Aadd water = x (suppose) then, 40/(20 + x) = 1:2. x = 60 -> answer.

Madhu said: (Nov 9, 2016)
"In a vessel, containing 60 litres of a mixture of milk and water, water is only 30%. 12 litres of the mixture were taken out and X litres of pure milk were added. As a result percentage of water in the mixture became 18%. What is the value of X?" Can anyone please explain?

Sandhya said: (Dec 16, 2016)
It is so simple. First value of water = 1. Second value of water = 3. Therefore: 1/3 * 60 = 20 2/3 * 60 = 40 20 + 40 = 60.

Ashish said: (Dec 22, 2016)
There are two types of a mixture of milk and water. In the first mixture, out of 27 LTR, 24 LTR is milk only and in the second mixture, 40 LTR is milk and 5 LTR is water. Which one mixture is better in terms of milk's strength? Find the solution of the problem.

Sushil said: (Dec 27, 2016)
The Formula given by Shrikant and Biseswar is quite simple and useful. Thanks, @Biseswar & @Shrikant.

PALLAV said: (Jan 9, 2017)
Yes, correct @Sushil.

Sunil said: (Feb 13, 2017)
Milk 40, 2. Water 20,1. To make water double as milk we should add 60. Then 60+20=80, I.e double to 40(milk).

Poorvi said: (Mar 29, 2017)
Easy method to find the quantity of ratio 2 : 1, 2x+1x = 60, 3x = 60, X = 20, then 2x = 40, 40 + 20 = 60.

Shoaib said: (Apr 13, 2017)
Just make it simple. If the quantity of milk remains same 40. And the new ratio is 1:2. It means water is double then milk according to ratio then we have 40:80. And, minus the old water means 80-20 = 60.

Amit Kumar said: (May 18, 2017)
@ALL. The initial ratio 2:1 and after that 1:2 its only possible when the same amount of liquid is added in the mixture. That's it.

Koushikk said: (May 23, 2017)
In question, they have mentioned if this ratio is to be.. Does that mean 2: 1 to be simply changed to 1:2 why did they link both? Please explain me.

Shelly said: (Jul 2, 2017)
Water= 1+2 = 3 => 3 * 60 = 3*60/3= 60 liter.

Koshik said: (Jul 16, 2017)
@Santan, Simple and easy explanation, Thanks.

Priya said: (Jul 29, 2017)
You are right @Ramesh. But they didn't mention that the 2nd statement 1:2 Is related to the 1st statement, then how you are relating?

Palak said: (Aug 10, 2017)
Please give me the answer of. Find compound interest paid when a sum of rupees 10000 is invested for 1 year and 3 month at 81/2 % per annum compound annually.

Ravi said: (Aug 18, 2017)
We have 60 liters of the mixture with help of milk and water which means, 2x+1x=60. 3x=60x=20. Now put the value of x in 2x and 1x. We get 40and20. And question says that some quantity is further added to Water let take x. So. 40 (milk) /20 (water) +x=1/2. 40/20+x=1/2=>80=20+x. X=60. Hence proved.

Ajay Kumqr said: (Sep 4, 2017)
Simple formula is X(ad-bc)/c(a+b). Applying this. 60(4-1)/1(2+1), 60*3/3= 60 ltr.

AbinashL said: (Sep 8, 2017)
2x+x=60 => x=20, So Milk=40L and Water=20L , Now to make 1:2 i.e. Milk=x and Water=2x. We already have Milk=40L and we can take it as x=40 and Water as 2x=2*40=80L. So, Water to be added is 80-20=60L (ans).

Sivani said: (Sep 21, 2017)
25 chairs cost as much as 42stools 35 costs as much as 18 tables 10 tables costs as much as 12 benches and a pair of benches costs 625 find the cost of 1 chair. Can anyone answer for this question?

Sathish said: (Mar 2, 2018)
very simple way. The ratio of milk and water :: 2:1 Total mixture of milk and water =60 lits milk =2x water=1x => lit of milk+lit of water=total lits. =>2x+1x=60, =>3x=60, =>x=20.

Augusteen said: (Mar 22, 2018)
The simple trick is; 60litres mixture ratio 2:1 then 40:20. In question, water is added to the mixture so milk quantity doesn't change. New ratio 1:2 milk same i.e 40 then 2*40= 80 (water ratio 2) old is 40:20 new is 40:80 (80-20)= 60ans.

Alan Rose said: (Mar 27, 2018)
I am not getting the answer. Please help me to get it.

Raja said: (Apr 8, 2018)
First ratio:-2:1. Milk qunts 1/260=30, Water qunts 60-30=30, New ratio:-1:2 ratio quantity doubled, 230=60lts.

Chandu said: (May 3, 2018)
First, the ratio is 2:1 is 40: 20, New ratio is 1: 2 is 20:40. We want the water so we can add water such that 20+40=60.

Kishan said: (May 15, 2018)
48 litre of glycerin is mixed with 144 litre of rose water. D litre of total mixture is taken out and 32 litre of glycerin and 48 litre of rose water added in the mixture. The final mixture contains 30% of glycerine. Find the quantity of mixture that is taken out? Please solve it.

Usha said: (Jul 14, 2018)
Hi, nicely explained. Thanks @Ramesh.

Mahender said: (Jul 17, 2018)
Your way of explanation is good, Thanks @Ramesh.

RRR said: (Jul 20, 2018)
How come 2/3? it's not understand please explain.

Abhilash said: (Jul 31, 2018)
Actually, I think we don't need to find the solution for this question so hard. It says 2:1=60. So, if its interchange to 1:2 answer is also 60 ltr since the two products do not change changed.

Vishal said: (Aug 3, 2018)
In 2nd case, why should we consider mixture as equals to 40 litre?

Zulfiqar said: (Aug 15, 2018)
Thanks for everyone for explaining the answer.

Shyam said: (Sep 5, 2018)
For water calculation of 1st ratio. Water: 60 * 1/3=20 lit For second ratio the water ratio will be 2/3 So water to be added: [20+(2/3) * 60]=60 lit. That's the answer is 'D.

Ruchith Praharsha said: (Sep 12, 2018)
The ratio is 2:1 the total mixture =60 litres let the amount of milk be 2x and amount of water be x so 2x+x =60 litres that is x=20 litres the amount milk is 40 litres. If it is halved in the next ratio then the amount of water should be 2*40-20 = 60 litres.

Sonu Kumar said: (Oct 30, 2018)
60litres mixture ratio 2:1 then 40:20. In the question, water is added to the mixture so milk quantity doesn't change. New ratio 1:2 milk same i.e 40 then 2*40= 80 (water ratio 2) old is 40:20 new is 40:80 (80-20)= 60ans.

Ravi said: (Nov 22, 2018)
2:1 = 2 * 60 : 1 * 60, = 120 : 60. For 1:2 reverse it, so answer for new proportion is 60.

Vishal said: (Dec 7, 2018)
In 2:1 ratio milk +water=40 + 20 = 60 then, In 1:2 ratio milk+water=20 + 40 = 60 now only total of water from both ratio is 60.

Tejaswini said: (Dec 23, 2018)
Hi, I can't understand the question help me to solve.

Tapas said: (May 12, 2019)
60 lt of water.

Amruta said: (Jun 23, 2019)

Take 3 empty glass. We have to count 60 ltr with the ratio, Now fill 2 glass with milk 20ltr = 40ltr. And, Now fill 1 glass with water 20ltr, Mix milk 2(glass) + water 1(glass) = 3glass. The mixture is now of 20(milk)+20(milk)+20(water) = 60ltr. Now we want a new ratio 1:2. For that how much water to be added in existing 60ltr solution. We have 40ltr of milk in 60ltr and 20ltr water.

If we added 60ltr of water now then milk is 40ltr and water is (20+60) 80 which is 1:2.

Lavi said: (Jul 12, 2019)
Ratio= 2+1=3. Mix= 60litr, 60/3=20, Ratio= 2:1 then multiply by 20, 220=40 and 120=20, Next ratio 1:2. 1 2 40 20 Cross multipy then the value is 80and 20. 80-20 = 60 is the answer.

Shahzaib said: (Jul 21, 2019)
In the tank we have 60 litter: Case 1 For ratio 2:1 We have 40:20 Case 2 For ratio 1:2: Now the thing is that as you can see from case 2 ratio which is 1:2 it means we have to twice the value of water and we not want to change milk quantity which is 1 so, (2/3*60) + 20(from precious case 1 water ratio) = 60. We have used 2/3 from basic ratio formula.

Anomie said: (Jul 28, 2019)
2x + x = 60. Volume of water X = 20 Volume of milk y = 2x = 40. Now keeping the volume of milk fixed i.e y = 40 Therefore y+2y=z, 40+(2*40)=z, Z=120. Therefore volume of water is 120-40=80. But volume already present is 20 so additional water to be added is 80-20=60 litre.

Faisal Khan said: (Aug 10, 2019)

It is said in the question that the ratio is 2:1 which means 40 litres of milk and 20litres of water should be there. Now the new ratio should be 1:2 of the obtained result (40 litres stands for 1parts and 20 litres stands for 2 parts) now in this mixture there is 40 litres of milk and 80 litres of water. But there is already 20 litres of water is there in the previous 40 litre of milk so we deduct that 20 litres therefore we get new amount of water i.e. is 60 litres.

Vinita Singh said: (Sep 10, 2019)
This Question can also be solved as: 2x/x = 60, X = 30. New ratio is 1:2. Where 1 part is milk. Nd 2x is water put the value of x. Hence water = 60.

Vijji said: (Sep 20, 2019)
Thanks @Vinita Singh.

Jhones said: (Sep 24, 2019)
m-2:1-w. m-1:2-w. 2:1 4-1=3 difference by addition of water, 2:4 3 * 60/3 = 60.

Swathi Hj said: (Sep 30, 2019)
Thank you @Krishna you explained in the simple way.

Sapana said: (Nov 27, 2019)
Hey guys, I am going to ask one question. The question is here; In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2:3, then what percent of the population is literate?

Shubham said: (Dec 24, 2019)
1+2 = 3. 60/3 = 20. Water value is change, But milk remains the same so, 2:1 (1:2)2= 2:4. Change in water 4-1 = 3. Hence, 320 = 60.

Naveen Kumar said: (Feb 18, 2020)
2:1 = 40+20 = 60. New Ratio 1:2 = 20+40 = 60. Answer 60.

Deenadayalan DansaG said: (Mar 22, 2020)
Milk:Water = 40:20 = 2:1. But we don't change milk we want to add water to change the ratio so 1:2 = 40:80 already 20liter is there so if we add 60ltr the ratio will come that's all.

Saurabh Nikam said: (Aug 8, 2020)
How take 2/3? Please explain.

Teja said: (Aug 14, 2020)
M:W (initial mixture) 2:1 1:2(required). Given total volume = 60ltrs. As milk is not added we the ratio of milk need to be same in both the cases. 2*(1:2)=2:4(required). 2:1(initial). 4-1=3(difference in water in both cases). 2+1=total volume (60). 3-----> 60. From this, we can say another 3 parts were added to get the required ratio.

Himanshu said: (Oct 2, 2020)
Milk 2x:1x water. Previously 2x+1x=60 litres. 3x=60L. x=60/3=20litrs. Previously values = milk - > 2x=40L. Water->1x=20L. Quantity to be further added in water=x. 40/20+x=1/2. X=60 L.

Kaveri said: (Oct 5, 2020)
Thank you, Very clear method, @Santan.

Sukri said: (Dec 8, 2020)
Initially we have 60lt in the ratio 2:1. i.e: 40lt milk & 20lt water. Think logically, Our condition is to make the ratio as 1:2. i.e: 40lt milk & 80lt water. Then 40 : 80 it will become 1:2. So, the required amount of water will be 80 - 20 (i.e: final quantity - initial quantity -> then we can get req amount of water to make the ratio as 1:2).

Shreyaa said: (Dec 11, 2020)
40/20+x=1/2 anyone can solve it?

Sony said: (Dec 20, 2020)
Total = 60. Milk: water 2:1 means 40:20. 6040/20 = 120. 1:2 new ratio, then water added 120 = 40:80. Then, 12040/80 = 60. Thank you.

Dileep said: (Jan 3, 2021)
40/20+x = 1/2. Cross multiple; 80 = 20 + x. x = 60.

Chith said: (Feb 13, 2021)
The initial quantity of milk=(2/3)90 = 60, Initial quantity of water=(1/3)90 = 30, If the ratio is to be 2:3 the water to be added; (60÷(30+x)) = 2/3, X = 60.

Swetha said: (Mar 30, 2021)
m:w=2:1 m+w=60 2x+x-=60 x=20. m=40 w=20. Added water be y. 40:(20+y) = 1:2. On cross multiplication y=60.

Kushal said: (Jan 7, 2022)
@All. Simply the solution is; Mixture = 60 litre. The ratio is 2: 1 , so milk:water=40:20. New ratio= 1: 2 , means milk : water should be 40:80. Water in the new mixture should be 80. Less water already in the mix 20. Water to be added now is 60.

Souvik Das said: (Feb 12, 2022)
The ratio of milk and water in 60L is; m=2. w=1 (2+1)=3, milk = 2/3, water=1/3. milk in 60L = 2/3 * 60= 40L. water in 60L = 1/3 * 60= 20L, 40:(20+60)=4:8= 1:2.

Nagasheshu said: (Mar 18, 2022)
60 lit, 2:1. 2x +1x = 60 lit, 3x = 60, x = 60/3, x = 20 lit.

Aditya said: (Jul 22, 2022)
The ratio of milk to water is given as: 2:1. Let us assume a quantity of milk is 2x ans water is x. Therefore , 2x + x = 60 liters (Total mixture). 3x = 60 x = 20 --------(1) Now milk is 2x therefore 2*20 = 40 liters is milk. Now new water is added therefore x becomes (20 + x), now new ration is given 40 /(20+x) = 1/2, 80 = 20 + x. x = 60 Liters.