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:
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 6 of 7.
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.
So alcohol 1 is 1/3 part.
Hence, the quantity of whiskey = 1 - (1/3).
= 3-1 / 3.
2/3.
Ankita dharma said:
1 decade ago
After we get the ratio as 1:2, how did we get 2/3?
Jenny said:
1 decade ago
Ya. I too confused with the result as 2/3. Can any one explain how we will get 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.
Sanzzz said:
1 decade ago
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?
Harshel jain said:
10 years ago
I am confused from this stick method.
Ramakrishna said:
10 years ago
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.
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.
Sonam said:
9 years ago
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.
Anhat said:
9 years ago
How 2/3 come?
Please explain. I am still confused.
Please explain. I am still confused.
Vejay said:
9 years ago
@Anhat.
Please see the comment of Moncy, it'll clear your doubt.
Please see the comment of Moncy, it'll clear your doubt.
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