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 5 of 7.

Maggi said:   1 decade ago
Why not 1/3. Because in question it is asked the replaced whisky of 1st jar.

Prakash said:   1 decade ago
Suppose the vessel initially contains 100 litres of liquid.
So, it contain 40 lit alchohal, 60 lit water.
Let x litres of this liquid be replaced .

Quantity of alchohal in new mixture =(40-40x/100+19x/100)
=40-21x/100
Now vessel contain 26% alcohol

So, 40-21x/100=26
x=2/3*100.

Naveen.j said:   1 decade ago
@maggi:.

Here in the question they are asking. How much of the quantity is replaced. Here, second quantity is replacing the first one. Hence, the second one is the answer. (i.i) 2/3.

Atchiya said:   1 decade ago
According to mixture allegation rule.. we have place the chaeper one on left side and the dearer one on right side... why here that rule is not followed

acoording to that 14:7 comes..so lastly 2:1 is the ratio and
and the first jar is compared s 2/3 parts (i.e)2:3 .. is this correct ?? plz answer this !!!

Suman Chowdhury said:   1 decade ago
@coolman,

We can see that the ratio of the two types of alcohol in the mixture is 1:2. So alcohol1 is 1/3 part.
Hence the quantity of whisky replaced =1-1/3=2/3

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.

Jitendra said:   1 decade ago
How 2/3 comes in the last?

HRISHIKESH PAWR said:   1 decade ago
How 7 and 14 came and at last how 7:14 = 1:2 came?

AVINASH said:   9 years ago
Hi, I have a little doubt, from where this 19 came?

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.


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