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Question

A mixture (alcohol and water) contains 30% alcohol and rest 140 litres water. How much alcohol should be added to the mixture to make the ratio of alcohol to water in the mixture 5:4?

A 130 litres Correct Answer Incorrect Answer
B 115 litres Correct Answer Incorrect Answer
C 135.5 litres Correct Answer Incorrect Answer
D 133 litres Correct Answer Incorrect Answer
E 128.5 litres Correct Answer Incorrect Answer

Solution

Initial quantity of alcohol in the mixture = 30 × (0.30/0.70) = 60 litres
Let the quantity of alcohol added be ‘x’ litres
According to the question,
(60 + x)/140 = 5/4
=> x = 175– 60
=> x = 115
Therefore, quantity of alcohol added = 115 litres

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