Latest CAT Aptitude Question SOLUTION: vessel is filed with liquid .3 parts water and 5 parts syrup.how much mixture drawn off and replaced with water .so that mixture contain half water and half syrup?

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vessel is filed with liquid .3 parts water and 5 parts syrup.how much mixture drawn off and replaced with water .so that mixture contain half water and half syrup?

Asked In CAT MohanRaj (10 years ago)

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Pradeep  (10 years ago)

1/5 as vessel contains 8 liters of liquid
Let x lit of this liquid be replaced with water
quantity of water in new mixture is 3-(3X/8)+X
quantity of syrup in new mixture is 5-(5X/8)
3-(3X/8)+X=5-(5X/8)
24-3X+8X=40-5X
16=10X
X=16/10=8/5
so the mixture is drawn off and replaced with water is 8/5*(1/8) =1/5

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