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 2 of 7.

Nikhil said:   6 years ago
1:2 is ratio now quantity of alcohol in it is 1/3 ok, now the question is asking about the quantity of whiskey that is 1-1/3 so we got 2/3 answer because 1/3which we got earlier is the part of alcohol now 2/3 is the part of whiskey replaced.
(1)

Jasleen said:   1 decade ago
@mohan:
the vessel contains 40% alcohol initially and then some of it is replaced by 19% alcohol and final is 26%. so if uve to find the strength ratio, it is (26-19):(40-26). so it becomes 7:14 i.e. 1:2. and if we are reqd to find quantity of second one, so its 2/(1+2) i.e. 2/3.
(1)

Davinder Singh said:   4 years ago
@Rohan.

Thanks sir, it was so simple to understand.
(1)

Jamshaid said:   3 years ago
Wrong, the correct answer is;

19% whisky replaced be X portion of 1 jar, then 40% whisky is 1-X portion, and then mixture is 26%;

19/100 * X + 40/100 * (1-X) = 26/100 *1.
X = 7/13 of Jar.
(1)

Avdhoot Kumbhar said:   2 years ago
@Anupam.

if x ml quantity is removed then how did you take that 4 - 0.4x instead of x? Similar to 0.19x? Please explain to me.
(1)

Anu said:   5 years ago
Can anyone explain me to get it clearly?
(1)

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.

Sai said:   9 years ago
Quantity replaced in 1st jar is nothing but quantity added from 2nd jar. So, from the answer, the ratio is 1 : 2 which means the total number of parts (1 + 2) is 3.

Therefore the quantity of whiskey replaced is 2/3.

Shahid said:   9 years ago
Please, let me get it clearly. Anyone help me.

Gowtham said:   9 years ago
Best explanation @Deepak Kumar.

Please anyone who didn't understand please follow that.


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