Aptitude - Ratio and Proportion - Discussion

60 litres milk: water
2:1 then,
2x + x = 60
x = 20
1 : 2 ?
x + 2x = ?
3x = ?
3 * 20 = 60.

Orginal mixture = 60l.
Milk: water = 2:1.
Milk = 60 * 2/3 = 40l.
Water = 60 * 1/3 = 20l.

New mixture ratio = 1:2.
40lmilk + (20+x)l water,
40:20 + x = 1:2,
20 + x = 80,
X = 60.

1x + 2x = 60 +x.
3x - x = 60.
2x = 60,
x = 30.
Water - 2x = 2(30).
= 60.

Here, we can't just add different quantities of water.

So from the first case we got milk = 40 litres and water = 20 litres, now to make the ratio from 2:1 to 1:2.

So, the Amount of milk in the new mixture = 2 x milk in the old mixture = 2 x 40 litres = 80 litres, so the difference in water quantities = 80 - 20 = 60 litres.

@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.