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 5 of 7.
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.
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?
Ankita dharma said:
1 decade ago
After we get the ratio as 1:2, how did we get 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.
So alcohol 1 is 1/3 part.
Hence, the quantity of whiskey = 1 - (1/3).
= 3-1 / 3.
2/3.
Kush said:
1 decade ago
What is wrong in this approach?
Let us assume that there is x L of whiskey and we are replacing y L of whiskey.
Therefore the quantity of alcohol is:
(40/100)x-(40/100)y+(19/100)y = (26/100)(x-y).
Let us assume that there is x L of whiskey and we are replacing y L of whiskey.
Therefore the quantity of alcohol is:
(40/100)x-(40/100)y+(19/100)y = (26/100)(x-y).
(1)
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.
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.
Shweta said:
1 decade ago
I can't get how it become 2/3.
HRISHIKESH PAWR said:
1 decade ago
How 7 and 14 came and at last how 7:14 = 1:2 came?
Jitendra said:
1 decade ago
How 2/3 comes in the last?
Achyut said:
1 decade ago
Let x part of whisky removed.
Whisky removed = 40x/100.
Whisky added = 19x/100.
Total change in whisky 40/100 - 40x/100 + 19x/100.
After Equating,
40/100 - 40x/100 + 19x/100 = 26/100.
Or, x = 2/3.
Whisky removed = 40x/100.
Whisky added = 19x/100.
Total change in whisky 40/100 - 40x/100 + 19x/100.
After Equating,
40/100 - 40x/100 + 19x/100 = 26/100.
Or, x = 2/3.
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