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Saurabh Upadhyay

· started a discussion

· 1 Months ago

49 (Question: 198548.0 )

1/2 should be corect answer

Question:
A butler stole wine from a butt of sherry, which contained 30% spirit and he replaced what he had stolen by wine containing 12% spirit. Then, the butt contained 18% spirit. How much of the butt did he steal?
Options:
A) \(\cfrac{1}{3}\) part
B) \(\cfrac{2}{3}\)  part
C) \(\cfrac{1}{2}\)  part
D) None of these 
Solution:


It means \(\cfrac{1}{3}\) part of the butt of sherry was left so \(\cfrac{2}{3}\) part of the butt of sheery was stolen.


Alternate Sol:


X is the amount of wine 

Y amount was removed 

Remaining = (X-Y) 

Amount of spirit remaining = 0.3(X-Y) 

Now Y is added but it contains only 12% wine 

So total spirit left = 0.3(X-Y)+0.12Y = 0.18X 

so Y = 0.12X/0.18 = X * 2/3 


So 2/3rd wine was stolen.

Knowledge Expert

· commented

· 1 Months ago

2/3 is the correct answer.........

Let

X is the amount of wine

Y amount was removed

Remaining = (X-Y)

Amount of spirit remaining = 0.3(X-Y)

Now Y is added but it contains only 12% wine

So total spirit left = 0.3(X-Y)+0.12Y = 0.18X

so Y = 0.12X/0.18 = X * 2/3

So 2/3rd wine was stolen.
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