From a 50-litre mixture containing alcohol and water in the ratio 3:2, 10 litres are removed and replaced with water. What is the new ratio of alcohol to water?
Show answer & explanation
Correct answer: D
Explanation
Given:
Mixture = 50 liters, Ratio = 3 : 2
According to the formula:
The mixture removed retains the same ratio.
Initial Alcohol = 30 liters, Water = 20 liters
10 liters removed:
Alcohol = 6 liters, Water = 4 liters
Remaining:
Alcohol = 30 − 6 = 24
Water = 20 − 4 = 16
Now, 10 liters of water is added:
Water = 16 + 10 = 26
New Ratio = 24 : 26 = 12 : 13