Question
Mixture ‘P’ contains alcohol and water only in the
ratio 10:7 respectively while mixture ‘Q’ contains water and alcohol in the ratio of 3:5, respectively. Total quantity of mixture ‘P’ is 255 litres while the quantity of alcohol in mixture ‘Q’ is 25 litres more than that in mixture ‘P’. Find quantity of water in mixture ‘Q’.Solution
Let the quantity of alcohol in mixture ‘P’ = 10x kg Then, quantity of water in mixture ‘P’ = 7x kg According to the question, 10x + 7x = 255 Or, x = 255/17 = 15 Total quantity of alcohol in mixture ‘Q’ = 10x + 25 = 150 + 25 = 175 litres Quantity of water in mixture ‘Q’ = 175 × (3/5) = 105 litres
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