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
Given:
Total solution = 60 liters, Ratio (Sugar : Water) = 5 : 1
According to the formula:
Part = (Ratio / Total Parts) × Total Quantity
Total parts = 5 + 1 = 6
Sugar = (5/6) × 60 = 50
Water = (1/6) × 60 = 10
12 liters of the mixture was removed.
Sugar removed = (5/6) × 12 = 10
Water removed = (1/6) × 12 = 2
Remaining sugar = 50 − 10 = 40
Remaining water = 10 − 2 = 8
Now, 12 liters of water was added.
New water quantity = 8 + 12 = 20
Final ratio = 40 : 20 = 2 : 1