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 4 of 7.
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:
10 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.
Alex said:
7 years ago
Is there any shortcut? Please explain.
Anupam said:
6 years ago
Let, the total original amount of whiskey = 10 ml, i.e. 4 ml alcohol and 6 ml non-alcohol.
Let x ml be the amount removed,
Total alcohol left = 4-0.4x.
New quantity of whiskey added = x ml out of which 0.19 is the alcohol.
Thus, the final quantity of alcohol,
= 4-0.4x+0.19x=4-0.21x.
ATQ, (4-0.21x)= 26% of 10 [Here, initially 10],
=> x = 20/3 ml.
As per the question, we need to find the x ml removed as a ratio of the initial volume,
= (20/3)/10 = 2/3 (Answer).
Let x ml be the amount removed,
Total alcohol left = 4-0.4x.
New quantity of whiskey added = x ml out of which 0.19 is the alcohol.
Thus, the final quantity of alcohol,
= 4-0.4x+0.19x=4-0.21x.
ATQ, (4-0.21x)= 26% of 10 [Here, initially 10],
=> x = 20/3 ml.
As per the question, we need to find the x ml removed as a ratio of the initial volume,
= (20/3)/10 = 2/3 (Answer).
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.
Coolman said:
2 decades ago
Can any one explain how 2/3?
Moncy said:
2 decades 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..
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..
Barat said:
2 decades ago
@Moncy
Thanks..
Thanks..
Ramm said:
2 decades ago
Thank you so much Moncy
Caligula said:
2 decades ago
Please explain 7 and 14. I am getting 2:1 ratio.
I know I was wrong but. I can't understand.
I know I was wrong but. I can't understand.
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