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 3 of 7.
Explorer said:
9 years ago
Here one confusion is about 2/3.
Final mixture should be in 1:2 proportion in which A is 1/3 part and B is 2/3 part. Here B is introduced in mixture by replacing A so Replaced quantity is 2/3.
Hope this can help. Thanks
Final mixture should be in 1:2 proportion in which A is 1/3 part and B is 2/3 part. Here B is introduced in mixture by replacing A so Replaced quantity is 2/3.
Hope this can help. Thanks
Tejesh said:
9 years ago
1/3 is the wrong answer.
As per Prakash' method, 2/3* 100 is right but it is the amount of alcohol and 1-2/3=1/3 is the answer of whisky which has 19% alcohol. In a question, they told that whisky which has 40% alcohol replaced by whisky of 19 % alcohol so its prove that 1/3 is the answer of whisky which has 19% & 40% combined alcohol. But in a problem, they asked replaced whisky means whisky which has 40% alcohol. So please tell anyone in detail what is the answer still I am not getting the answer.
As per Prakash' method, 2/3* 100 is right but it is the amount of alcohol and 1-2/3=1/3 is the answer of whisky which has 19% alcohol. In a question, they told that whisky which has 40% alcohol replaced by whisky of 19 % alcohol so its prove that 1/3 is the answer of whisky which has 19% & 40% combined alcohol. But in a problem, they asked replaced whisky means whisky which has 40% alcohol. So please tell anyone in detail what is the answer still I am not getting the answer.
Tejesh said:
9 years ago
Yeah, it's right. 2/3 is right answer. Great thanks @Prakash.
Mounisha said:
9 years ago
Can anyone explain that how 2/3 came in the answer?
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.
So, the answer is 2/3.
Guruprasad said:
8 years ago
So, how much quantity of whisky in % is replaced? Should we consider 2/3 * 100%?
Cosul said:
7 years ago
X litres to start with so it contains in the below ratio of alcohol and water(assume).
40*x/100 - alcohol and 60*x/100 water,
Now, y litres of whisky to be taken away and added by 19% of y litres of whisky,
So we know when anything is taken away in the mixture, it takes out equal amounts out from the mixture.
hence since y litres is taken out it takes out alcohol in equal ratio i.e(40*y/100), we get the below equation for remaining alchol in the mixture.
(40*x/100 )- (40 *y/100),
Now they say 19% of y litres of alcohol is added so, equations become,
(40*x/100 )- (40 *y/100 ) + 19*y/100 = 26*x/100.
Solving we get 2/3.
40*x/100 - alcohol and 60*x/100 water,
Now, y litres of whisky to be taken away and added by 19% of y litres of whisky,
So we know when anything is taken away in the mixture, it takes out equal amounts out from the mixture.
hence since y litres is taken out it takes out alcohol in equal ratio i.e(40*y/100), we get the below equation for remaining alchol in the mixture.
(40*x/100 )- (40 *y/100),
Now they say 19% of y litres of alcohol is added so, equations become,
(40*x/100 )- (40 *y/100 ) + 19*y/100 = 26*x/100.
Solving we get 2/3.
Vinoth said:
7 years ago
Among the 3 parts of 40% alcohol now 2 parts are 19% alcohol that means it is replaced. 1:2. Here 2 parts are replaced by 19% alcohol.
Honie said:
7 years ago
I can't understand why are you multiplying x with 40/100?
Please explain this step.
Please explain this step.
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.
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