Aptitude - Alligation or Mixture - Discussion

Here x=8/5 is the amount in liters that has been added to make up 8 liters in total. This added quantity constitutes some part of the total volume. Right? So, this some part is stated as (x/8). Hope everyone's doubt on this has been cleared. => (8/ (5*8) ) =1/5.

1/5th is the part (not liters) from the total 8liters that has been added. Thank You.

Formula for this type of question:.

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

Suppose initial quantity of mixture is 1 lit.
ratio water:syrup = 3:5,so syrup is 3/8
alligation method

3/8 1(pure water so taken as 1)

1/2

1/2 1/8

qt of mixture 1/2
-------------= ---
qt of water 1/8

1-x/x=4,so x=1/5 (x= quatity of water removed or qt. of syrup
withdraw)

Here given 8 parts of total, 3 parts water &5 parts syrup. Then we equal the both water & syrup ratio. Now we add the 1 part of syrup from 5 parts of syrup i.e;1/5 then it will become equal parts of water & syrup.

The answer is:1/5.

Here total mixture is(3+5)=8.
Now syrup=5/8 and water=3/8.

If we take some mixture and added same amount of water then amount of syrup will be 1/2 and water 1/2.

Now the amount of syrup present in removed mixture is 5/8-1/2=1/8.

Now 5/8 syrup present in mixture 1.

1/8 ........................(8/5)X(1/8)=1/5.

Thanks @Kousik Maji for your good solution but I am confused with bellow sentence please give clear cut info.

1/8 ........................(8/5)X(1/8)=1/5.

@Kiran how you got 60% and 40%

If I do - (3/8)*100 it gives 37.5%, How you got 60 and 40?

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.