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 1 of 7.

Barat said:   2 decades ago
How 2/3 ?

Coolman said:   2 decades ago
Can any one explain how 2/3?

Moncy said:   1 decade 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..

Barat said:   1 decade ago
@Moncy

Thanks..

Ramm said:   1 decade ago
Thank you so much Moncy

Caligula said:   1 decade ago
Please explain 7 and 14. I am getting 2:1 ratio.

I know I was wrong but. I can't understand.

Mohan said:   1 decade ago
Can someone explain. still i din't get the answer?

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.


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