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Aptitude - Ratio and Proportion - Discussion

@ : Home > Aptitude > Ratio and Proportion > General Questions - Discussion

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"Do not wait for leaders; do it alone, person to person."
- Mother Teresa
5. 

In a mixture 60 litres, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the quanity 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: (Sun, Jul 4, 2010 12:24:38 PM)    
 
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: (Sun, Sep 12, 2010 11:36:43 AM)    
 
Your plan and all is correct but your thinking is not correct.

Purvi said: (Wed, Nov 17, 2010 11:41:52 PM)    
 
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: (Thu, Dec 9, 2010 06:23:58 AM)    
 
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: (Thu, Feb 10, 2011 07:23:55 AM)    
 
Thnks ramesh, you told a simple way.

Nikhita said: (Tue, Feb 22, 2011 10:28:21 AM)    
 
Why have you multiplied 60 (2/3) for quantity of milk? where did the 3 come from?

Lakshman said: (Wed, Feb 23, 2011 01:20:01 PM)    
 
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: (Sun, Apr 17, 2011 12:47:56 PM)    
 
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: (Sat, Apr 23, 2011 12:26:40 AM)    
 
Ramesh I did not understand, can you exp that again.

Emani Karthik Reddy said: (Sat, Jul 23, 2011 09:34:16 PM)    
 
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: (Tue, Sep 6, 2011 11:43:27 PM)    
 
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: (Fri, Sep 9, 2011 09:22:45 AM)    
 
Where does the ratio 2/3 from?

Ruchi said: (Fri, Sep 16, 2011 01:00:32 PM)    
 
2/3 we can obtain from formula here a:b is 2:1.
then the formula is use a/(a+b)

Preety said: (Sat, Oct 1, 2011 11:28:53 PM)    
 
Expline me how? It is very tough concept for me. I got confused.

Nirav said: (Sun, Oct 9, 2011 06:13:20 PM)    
 
How can we solve this by allegation rule. ? please can anyone explain me. ?

Mythily said: (Mon, Oct 10, 2011 09:18:48 PM)    
 
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: (Fri, Jan 6, 2012 12:49:57 PM)    
 
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: (Fri, Jan 6, 2012 01:09:15 PM)    
 
@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: (Thu, Jan 19, 2012 01:39:09 PM)    
 
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: (Sat, Jan 28, 2012 03:10:32 PM)    
 
Good Kartik Negi your ans is right and simple..

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