Aptitude - Ratio and Proportion - Discussion
Discussion Forum : Ratio and Proportion - General Questions (Q.No. 5)
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:
Answer: Option
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.
Discussion:
153 comments Page 6 of 16.
MYTHILY said:
1 decade ago
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.
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:
1 decade ago
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 ?
A) 16 litres B) 25 litres C) 22.75 litres D) 32.5 litres
Hey can anyone explain this for me ?
Sai said:
1 decade ago
@Sai
5x/(1x+5)=5/2
10x=5x+25
5x=25
I think 25 litres is the correct ans what do u say guys ?
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:
1 decade ago
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.
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:
1 decade ago
Good Kartik Negi your ans is right and simple..
Bagavathi said:
1 decade ago
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:
1 decade ago
Thank you karthik negi for your clear and crisp explanation.
Pallav said:
1 decade ago
@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.
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:
1 decade ago
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.
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:
1 decade ago
Ramesh Nicely explained .....
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litres = 40 litres.