A chef prepares 100 litres of soup in which the ratio of tomato puree to water is 3:2. Later, 20 litres of this soup is removed and replaced with pure tomato puree. What is the new ratio of tomato puree to water?
Show answer & explanation
Correct answer: B
Explanation
Given:
Total Soup = 100 liters
Tomato : Water = 3 : 2
According to the formula:
Part = (Ratio / Total Parts) × Total Quantity
Total Parts = 3 + 2 = 5
Tomato = (3/5) × 100 = 60 liters
Water = (2/5) × 100 = 40 liters
20 liters of the mixture was removed.
Tomato removed = (3/5) × 20 = 12 liters
Water removed = (2/5) × 20 = 8 liters
Remaining Tomato = 60 − 12 = 48 liters
Remaining Water = 40 − 8 = 32 liters
Now, 20 liters of pure tomato was added.
New Tomato quantity = 48 + 20 = 68 liters
Water quantity = 32 liters
Ratio = 68 : 32 = 17 : 8