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 | ![]() |
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:
148 comments Page 1 of 15.
Aditya said:
3 years ago
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.
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.
(56)
Palash Dhore said:
2 years ago
Initial ratio of milk : water = 2:1.
So (2+1=3) these 3 unit belongs to 60 litres.
Therefore, 2 units of milk belong to 40 litres and 1 unit of water belongs to 20 litres.
Further water is added so the ratio of milk: water = 1:2 => given.
As water is added but the previous quantity of milk is the same which is 40 litres(only ratio change).
So here we consider the 1 unit of milk as 40 litres and therefore 2 units of water is 80 litres.
The final quantity of water -Initial quantity of water = 80 - 20 = 60 litres.
Further water added is 60 litres.
So (2+1=3) these 3 unit belongs to 60 litres.
Therefore, 2 units of milk belong to 40 litres and 1 unit of water belongs to 20 litres.
Further water is added so the ratio of milk: water = 1:2 => given.
As water is added but the previous quantity of milk is the same which is 40 litres(only ratio change).
So here we consider the 1 unit of milk as 40 litres and therefore 2 units of water is 80 litres.
The final quantity of water -Initial quantity of water = 80 - 20 = 60 litres.
Further water added is 60 litres.
(51)
Kushal said:
4 years ago
@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.
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.
(45)
Tanoy Saha said:
2 years ago
The first ratio is 1 : 3.
Quantity of water, 60 * 1/3 = 20,
Another ratio is 2 : 3.
Quantity of water, 60 * 2/3 = 40.
Quantity of water to be added = (20 + 40) = 60 litres.
Quantity of water, 60 * 1/3 = 20,
Another ratio is 2 : 3.
Quantity of water, 60 * 2/3 = 40.
Quantity of water to be added = (20 + 40) = 60 litres.
(35)
Bala said:
1 year ago
@All.
It is very easy.
If a 60litres 2:1 ratio therefore 60 divided into 40,20
And next 1:2 ratio therefore 60 is divided into 20,40.
The first ratio is milk and the second one is water add the second one because we need an added quantity of water of 20 + 40 = 60l
It is very easy.
If a 60litres 2:1 ratio therefore 60 divided into 40,20
And next 1:2 ratio therefore 60 is divided into 20,40.
The first ratio is milk and the second one is water add the second one because we need an added quantity of water of 20 + 40 = 60l
(33)
Aman R said:
1 year ago
Given:
- Total volume of the mixture = 60 liters.
- Ratio of milk to water = 2 : 1.
First, calculate the quantities of milk and water in the original mixture.
Let the quantity of milk be 2x and the quantity of water be x .
Since the total volume is 60 liters, we have:
2x + x = 60,
3x = 60,
x = 20.
So, the quantity of milk is 2x = 2 * 20 = 40 liters,
and the quantity of water is x = 20 liters.
Next, we need to determine how much water needs to be added to change the ratio of milk to water from 2:1 to 1:2.
Let y be the amount of water to be added.
The new quantity of water will be:
20 + y.
The new ratio of milk to water should be 1:2, which means:
40/{20 + y} = 1/2.
Now, solve for y :
40 = (1/2) (20 + y)
40 = {20 + y}/2,
80 = 20 + y,
y = 80 - 20,
y = 60.
Therefore, the quantity of water that needs to be added is: 60 liters
- Total volume of the mixture = 60 liters.
- Ratio of milk to water = 2 : 1.
First, calculate the quantities of milk and water in the original mixture.
Let the quantity of milk be 2x and the quantity of water be x .
Since the total volume is 60 liters, we have:
2x + x = 60,
3x = 60,
x = 20.
So, the quantity of milk is 2x = 2 * 20 = 40 liters,
and the quantity of water is x = 20 liters.
Next, we need to determine how much water needs to be added to change the ratio of milk to water from 2:1 to 1:2.
Let y be the amount of water to be added.
The new quantity of water will be:
20 + y.
The new ratio of milk to water should be 1:2, which means:
40/{20 + y} = 1/2.
Now, solve for y :
40 = (1/2) (20 + y)
40 = {20 + y}/2,
80 = 20 + y,
y = 80 - 20,
y = 60.
Therefore, the quantity of water that needs to be added is: 60 liters
(27)
Nagasheshu said:
3 years ago
60 lit, 2:1.
2x +1x = 60 lit,
3x = 60,
x = 60/3,
x = 20 lit.
2x +1x = 60 lit,
3x = 60,
x = 60/3,
x = 20 lit.
(24)
Pranav said:
1 year ago
first water.= 20 liter
second water. = 40 litres
Here, they ask for the quantity of water total.
So, 20 + 40 = 60 => answer.
second water. = 40 litres
Here, they ask for the quantity of water total.
So, 20 + 40 = 60 => answer.
(22)
Niranjanasree said:
11 months ago
1x + 2x = 60 +x.
3x - x = 60.
2x = 60,
x = 30.
Water - 2x = 2(30).
= 60.
3x - x = 60.
2x = 60,
x = 30.
Water - 2x = 2(30).
= 60.
(21)
Ragavi said:
2 months ago
60 litres milk: water
2:1 then,
2x + x = 60
x = 20
1 : 2 ?
x + 2x = ?
3x = ?
3 * 20 = 60.
2:1 then,
2x + x = 60
x = 20
1 : 2 ?
x + 2x = ?
3x = ?
3 * 20 = 60.
(21)
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