A bucket has 60 litres of a solution with sugar and water in the ratio 5 : 1. If 12 litres of the solution are replaced with water, what is the new ratio?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 2 : 1.
Bucket = 60 L
Sugar = (5/6) × 60 = 50 L
Water = (1/6) × 60 = 10 L
Removing 12 L of mixture:
Sugar removed = (5/6)×12 = 10 L
Water removed = 12 - 10 = 2 L
Remaining quantity: Sugar = 50 - 10 = 40 L and Water = 10 - 2 = 8 L
Adding 12 L of water:
Water = 8 + 12 = 20 L
New ratio of sugar and water = 40 : 20 = 2 : 1