Aptitude - Ratio and Proportion - Discussion

@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

Its very simple one drum of sixty litter quantity only;
1 . 2:1 that means 40 : 20 -40 milk and 20 water
2. 1:2 that mean 20:40-20milk and 40 water.

If we add both 60 kg water, further we want to it be 0:3 only 60 litter water.

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

first water.= 20 liter
second water. = 40 litres
Here, they ask for the quantity of water total.

So, 20 + 40 = 60 => answer.

By Using the relation,

X(ad-bc)/c(a+b)

We get,
= 60(2×2-1×1)/1(2+1),
= 60(4-1)/3,
= 60.

So the ratio using;
n = a + b/c + d.
2 + 1/1 + 2 = 1.
Q = 1
Therefore,
1*60 = 60litres.

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.

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.

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.

60 lit, 2:1.

2x +1x = 60 lit,
3x = 60,
x = 60/3,
x = 20 lit.