Aptitude - Alligation or Mixture - Discussion

The Formula is /2*[Big value -small value/ Big value].

3:5 is the ratio given take the largest number in it which is 5.
as per question half of milk and syrup so, 5:5 in large number.
See the difference which is 2 of the taken ratio is 10 so answer is 1/5.

Nice, Thanks @Flora.

3/8+5/8x=1/2,
5/8x=1/8,
x=1/5.

In Mixture: 3 parts = water and 5 parts=Syrup.

Given: 5 parts of Syrup(S) ====> 3 parts of Water(W).

So,
for 5 parts of Syrup --> 3 parts Water.
How much for 1 part Syrup --> water=?

1 part syrup= 3/5=0.6 water.
We need to remove 1 part water and 0.6 part syrup and replace with water to equal the mixture= 4S+4W.

The removal mixture of 1.6 parts which is 20% of 8 parts = 20% = 20/100 = 1/5.

@Surrendar.

Nice explanation, thanks.

Water : 3 Syrup : 5 & mix = half water & half syrup.
3:5.

[(Diff between 3 & 5)
1:1 *5,
5:5,
2/10= 1/5.

(2= diff between 3 & 5)
(10= 5+5).

I Hope this is the easy method.

Excellent explanation @Surendrareddy.

Good explanation, it is very helpful, Thanks @Victor.

Answer: 1/5th of the vessel volume. Let's assume the capacity of vessel be (3+5=) 8 litres.

Now, the basic principle of all such questions is that when you remove any amount of the mixture, it removes both the liquids in the same ratio as the mixture itself. So, let's suppose we take x litresout of the vessel. This means 5x/8 amount of syrup and 3x/8 amount of water gets removed. which means the remaining mixture has (3-(3x/8)) litres of water & (5-(5x/8)) syrup. Now when we add x litres of water to this mixture, the amount of water and syrup becomes equal. Thus, (x+3-(3x/8)) = (5-(5x/8)) => x=1.6 ltrs.

Since we assumed that vessel is 8 ltrs. in volume=> 1.6/8 = 1/5th of the mixture in the vessel needs to be replaced with water. Hope it helps.