A mixture contains alcohol and water in the ratio 3 : 4. On adding 8 litres of water the ratio of alcohol becomes 5 : 8. Find the quantity of the mixture (in liters) is
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Correct answer: A
Explanation
The correct answer is option 1 i.e. 70
According to the question,
The ratio of alcohol and water = 3 : 4
After 8 litre water added, the new ratio become = 5 : 8
Alcohol remain same in both conditions
Alcohol : Water
old (3 : 4) × 5 → 15 : 20
New (5 : 8) × 3 → 15 : 24
The quantity change in water = (24 - 20) = 4
The value of 4 is given 8 litre in the question.
So,
4 = 8
1 = 2
So, the quantity of the mixture = (15 + 20) × 2 = 70 litre