Aptitude - Alligation or Mixture - Discussion

After we get the ratio as 1:2, how did we get 2/3?

Ya. I too confused with the result as 2/3. Can any one explain how we will get 2/3?

I think the answer of the quantity of whisky taken out will be 1/3, but as per the question, the quantity of the whisky replaced or added will be 2/3.

Whisky taken out from the jar 1 is 1/3, but the whisky replaced or added is 2/3. I think now you can understand?

I am confused from this stick method.

I think this is the easy method.

If the 40% will alcohol is a1 = 40% and another 19% is a2 = 19%.

And in the resultant is A = 26%.

Any solution Alligation is given as:

Average A = (n1a1*n2a2)/(n1+n2).

n1:n2 = (a1-A)/(A-a2).

n1:n2 = (40-26):(26-19) then the result is 14:7 that will give 2:1.

Its too simple,

According to allegation rule,

Chip/Deep = (Deep-Common)/(Common-Chip).

Chip/Deep = (0.40-0.26)/(0.26-0.19).

Chip/Deep = 0.14/0.07.

Chip/Deep = 2/1.

So, Chip (whisky with 19% alcohol) = 2/3rd of total final mixture.

Deep (whisky with 40% alcohol) = 1/3rd of total final mixture.

Now here is the logic. According to question, whisky containing 40% alcohol (deep) was replaced with whisky containing 19% alcohol (chip) to make this final mixture. So 2/3rd of whisky (40%) was replaced with 2/3rd of whisky (19%).

So answer = 2/3.

Since their in question only one jar is mention where replacing is being done, but in solution why they have mentioned 1st jar strength and second jar strength? Where does this second jar come from? please help me to explain.

How 2/3 come?

Please explain. I am still confused.

@Anhat.

Please see the comment of Moncy, it'll clear your doubt.