Latest TCS Aptitude Question SOLUTION: A cask contains 12 gallons of mixture of wine and water in the ratio 3:1. how much of the mixture must be drawn off and water substituted so the wine and water become half and half

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A cask contains 12 gallons of mixture of wine and water in the ratio 3:1. how much of the mixture must be drawn off and water substituted so the wine and water become half and half.

Asked In TCS SHUBHAM SONI (9 years ago)

Unsolved Read Solution (7)

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Read Solution (7) :

debayan khanra  (9 years ago)

in 12 gallons mixture wine=12*3/4=9 gallons and water=3 gallons
if we draw 4 gallons of mixture..
so in 4 gallons wine=3 gallons and water=1 gallons...
remaining mixture wine=6 gallons and water =2 gallons
then we mix 4 gallon water to the mixture..
after adding water wine =6 gallon and water =6 gallon..
so wine:water=6:6=1:1
so we have to draw 4 gallons mixture....

Is this solution Helpfull? Yes (16) | No (4)  

soumajit roy  (9 years ago)

let the mixture is x
in 12 gallons,wine is 12*(3/4)=9 gallons,and water is 3 gallons
now in x gallons,wine will be x*(3/4) and water will be (x/4).
according to question their ratio will be 1:1 in the new mixture...
so equation becomes
9-(3*x)/4=3-(x/4)+x
and the answer is x=4

Is this solution Helpfull? Yes (15) | No (1)  

Debabrato Halder  (9 years ago)

given,
12 gallons of mixture so that in 3:1 ratio
(wine=12*3/4=9 gallons & water=3 gallons)
we draw x gallons from mixture,
now,for ratio of wine & water to be 1:1
so, 9:(3+x)=1:1
=> x=6
Hence, 6gallons of the mixture must be drwan off and water substituted so the wine and water become half and half.

Is this solution Helpfull? Yes | No (16)  

sri poojitha  (8 years ago)

wine=12*(3/4)=9 gallons and water = 3 gallons
9/(3+x)=1
x=6

Is this solution Helpfull? Yes | No (5)  

mahaboob basha  (8 years ago)

ANS: 6 GALLONS
3*3 of wine and 3*1 of water
become 1:1 we add 3*2 of water

Is this solution Helpfull? Yes | No (1)  

Kiranmay Mukherjee  (8 years ago)

12*3/4=9 gallons wine& 12*1/4=3gallons water in 12 gallons mixture
now let x gallons be drawn off
so,
(9 - 3x/4) / (3 - x/4 + x) = 1
=> x=4 gallons

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rajinder kumar  (7 years ago)

1/2(12)=3-x/4+x
x=4

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