Aptitude - Alligation or Mixture - Discussion

Discussion Forum : Alligation or Mixture - General Questions (Q.No. 9)
9.
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:
1
3
2
3
2
5
3
5
Answer: Option
Explanation:

By the rule of alligation, we have:

Strength of first jar Strength of 2nd jar
40% Mean
Strength
26%
19%
7 14

So, ratio of 1st and 2nd quantities = 7 : 14 = 1 : 2

Required quantity replaced = 2
3

Discussion:
63 comments Page 3 of 7.

Renu said:   8 years ago
Water:milk left after first attempt = 36:4.
Or 9:1

Therefore, 9/10 part milk is present after every attempt.
After three attempts the amount of milk left = 40*9/10*9/10*9/10
= 29.16 L.

Naveen.j said:   1 decade ago
@maggi:.

Here in the question they are asking. How much of the quantity is replaced. Here, second quantity is replacing the first one. Hence, the second one is the answer. (i.i) 2/3.

Tarun said:   4 years ago
@All.

Who is asking how did 2/3 come? Here is the explanation.

It is because the total we have now is 1+2 that is 3;. And 2 out of that is 2nd part hence 2/3 was replaced.
(9)

Tanut said:   9 years ago
I think the solution is wrong because 2/3 is the amount of alcohol the 2nd mixture contains which has been combined with the 1st mixture. So 2/3 can't be the whole mixture.

Moncy said:   1 decade ago
@Barat:
By the rule of ratio,if x:y is the ratio,to get the quantity of x,the formula is x/(x+y),and to get the quantity of y,the formula is y/(x+y).
Hope that helped you..

Saurav said:   8 years ago
If you got ratio as 1:2 then it means 1/3 part is there for 1st kind whiskey but in question it was asked how much was replaced So 1-1/3 =2/3.

So, the answer is 2/3.

Kasi viswanath reddy said:   1 decade ago
We can see that the ratio of the two types of alcohol in the mixture is 1:2.

So alcohol 1 is 1/3 part.

Hence, the quantity of whiskey = 1 - (1/3).

= 3-1 / 3.

2/3.

Suman Chowdhury said:   1 decade ago
@coolman,

We can see that the ratio of the two types of alcohol in the mixture is 1:2. So alcohol1 is 1/3 part.
Hence the quantity of whisky replaced =1-1/3=2/3

Saroj said:   1 decade ago
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.

Arpita said:   1 decade ago
40% alcohol.

40% is replaced by 19%.

Means 40-19 = 21.

% of alcohol was found to be 26% means 40-26 = 14.

So ratio is 14:21 = 2:3

Answer = 2/3.


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