Correct Answer - Option 2 : 15 liters
Given:
Quantity of mixture = 40 liters
Initially, the ratio of syrup and water is 5 ∶ 3
Final ratio of mixture is 5 ∶ 6
Calculation:
As the quantity of mixture is 40 liters
Amount of syrup = \( {5 \ \over 8} × 40\) = 25 liters
Amount of water = \( {3 \ \over 8} × 40\) = 15 liters
Let x amount of water is added,
∴ \( {25\ \over 15 + \;x} = {5 \ \over 6}\)
⇒ 150 = 5 × (15 + x)
⇒ 150 = 75 + 5x
⇒ 5x = 75
⇒ x = 75/5 = 15
∴ 15 liters of water is added.
