Latest IBPS Aptitude Question SOLUTION: 6 gallons of wine are drawn from a cask and replaced by 6 gallons of water. 6 gallons of the mixture are drawn next and again replaced by 6 gallons of water. If the ratio of wine

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(#M40079413) IBPS Numerical Ability question Alligations and Mixtures Keep an EYE

6 gallons of wine are drawn from a cask and replaced by 6 gallons of water. 6 gallons
of the mixture are drawn next and again replaced by 6 gallons of water. If the ratio of
wine to water in the cask is now 81:19, then what was the quantity of wine (in
gallons) in the cask at the beginning of the operation? (There was no water in the cask
at first)

Asked In IBPS pradeep kumar (9 years ago)

Unsolved Read Solution (2)

Is this Puzzle helpful?   (10)   (7) Submit Your Solution Ratio and Proportion

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Sudipta Kumar Banerjee  (9 years ago)

The ratio provided here is not correct.

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VARUN KUMAR  (8 years ago)

Let the initial capacity of cask= c
After replacement the rest wine =
c(1-6/c)^2
And the quantity of water = c-c(1-6/c)^2
Ratio of rest wine to water = 81:19
(1-6/c)^2/{1-(1-6/c)^2} = 81:19
19(1-6/c)^2 =81{1-(1-6/c)^2}
100(1-6/c)^2=81
(1-6/c)^2==81/100
1-6/c==9/10
6/c==1+9/10
C==10*6/19
C==60/19
C==

Is this solution Helpfull? Yes | No (2)  

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