Aptitude - Alligation or Mixture - Discussion

I think the issue with some of the guys here is they find these mathematical theories hard to understand. Let me make it simpler for them.

They didn't give the volume of vessel in the question so never mind that. The vessel contains 8 parts of liquids (i.e. - 3 parts of water and 5 parts of syrup).

What they are asking is to make the mixture into half water and half syrup i.e. - 4 parts of water and 4 parts of syrup. To make it happen you need to take 1 part of syrup out of the vessel (which is 1/5th of the total syrup) and add 1 part of water instead and thus you get the answer 1/5!

Hey Keep it simple.

Fraction of syrup in final Mixture = (Fraction of syrup in initial mixture)*(1 - x/v).

Where,
x is the Quantity of mixture removed.
V is the volume of the Mixture.

Simple friends,

Here totally 8 parts (5 part syrup + 3 part water).

To make it equal (4 parts syrup + 4 part water).

So, we have to draw 1 part from syrup (i.e.,) 1/5.

How we get 5x+24=40-5x?

A container is filed with 3 part water & 5 parts syrup, so total we have 8 parts or mathematically we can say,

3/8 water.
5/8 syrup.

Suppose we withdraw x parts of mixture then this will contain,

3/8(x) water.
5/8(x) syrup.

Now we have to add same amount of water the amount of water and syrup will be equal, so mathematically.

3/8-3/8(x) +x = 5/8-5/8(x).

It will give x = 1/5.

Why do we add y in this step 3/8[x-y] + y = 5/8[x-y] ?

The rest of the steps are perfectly understood! Thanks :),.

Hey guys I think this is useful formula for this question:

1/2(difference in parts/greater part).

1/2(5-3/5).

1/5.

From where did you get 1/8 in finding the final result?

How we find the % of thing?

There has to be a direct formula for this.

Anyone has it?