Question
In a mixture of 12 liters containing vinegar and Soya
sauce, the vinegar constitutes 25% of the mixture. After removing 4 liters of this mixture, 10 liters of another mixture with 20% vinegar is added. Determine the ratio of vinegar to soya sauce in the final mixture.Solution
ATQ, In the first mixture, Vinegar:Soya sauce = 25:75 = 1:3 Quantity of Vinegar in 12 litres of the mixture = 12 × 1/4 = 3 litres Quantity of Soya sauce in 12 litres of the mixture = 12 – 3 = 9 litres When 4 litres of mixture is pour out then, Quantity of Vinegar taken out = 4 × 1/4 = 1 litre Quantity of Soya sauce taken out = 4 – 1 = 3 litres In the second mixture, Vinegar:Soya sauce = 20:80 = 1:4 Quantity of Vinegar in 10 litres of the mixture = 10 × 1/5 = 2 litres Quantity of Soya sauce in 10 litres of the mixture = 10 – 2 = 8 litres Quantity of Vinegar in the final mixture = 3 – 1 + 2 = 4 litres Quantity of Soya sauce in the final mixture = 9 – 3 + 8 = 14 litres Required ratio = 4:14 = 2:7
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