Aptitude - Alligation or Mixture - Discussion

It's simple, but we can't understand what's meaning of question so the meaning of the question is how syrup is removed in the mixture.

So they said half water +half syrup=8.
Then syrup remove is 5-4 =1.
Then in ratio 1/5 parts of syrup is removed that's it.

Given : 3 part is water.
5 part is syrup.

Therefore the total mixture content becomes 8.

We want the half of this complete mixture means half water and half syrup.
So if we add 1 in 3 parts we get 4 i.e. 4/8 = 1/2.
And if we subtract 1 from 5 again we get 4 i.e 4/8= 1/2.
Therefore we get the half-half content of the water and syrup.
In percentage, we added 10% and reduced 10% therefore 10% + 10% = 20%.
And 20% = 20/100.
So, we get 1/5.

1/5 of 8 is 1.6 ------->remaining=6.4.

We have to remove 1/5 of liquid and add 1/5 of water(1.6 of water).

1/5 of 3=.6 -----> remaining=2.4.
1/5 of 5=1 -----> remaining=4.
6.4 of liquid =2.4 of water + 4 of syrup.

Which means add 1.6 of water to make to make composition equal and 1.6 is 1/5 of 8.

NOTE: Liquid = Mixed substance (water, syrup).

Let the volume of the vessel = x litres.
Out of this x liters 3/8 (x) is water & 5/8 (x) is syrup.
Let y litres of liquid is taken out. So out of this, y litres 3/8 (y) is water and 5/8 (y) is syrup.

The water in the remaining liquid is 3/8 (x-y).

The syrup in the remaining liquid is 5/8 (x-y).

Now, y litres of water is added to the remaining liquid so that the final liquid contains half water and half syrup.

=> 3/8 (x-y) +y=5/8 (x-y).
=>y=1/5 (x).
Or y = 1/5 (x).

Answer: The amount of liquid drawn out = The amount of water added = 1/5 of x.

@Victor.

Your answer is helpful to solve this problem. Thanks.

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.