In a bar, the owner instructs the waiter to always prepare the drink having 30% alcohol concentration for teenagers. Rest must be water. However a newly hired waiter prepares a 50% concentrated drink. The manager observes this and asks the waiter to decrease the concentration to prescribed level. If the drink prepared had initial volume of 1.74 litres, what will be the volume of added water after attaining the prescribed concentration? Dilution is done by using water only.
Created: 28 Feb 2026 |
Updated: 28 Feb 2026
Updated: 28 Feb 2026
Explanation:
In a bar, the owner instructs the waiter to always prepare the drink having 30% alcohol concentration for teenagers. Rest must be water. However a newly hired waiter prepares a 50% concentrated drink. The manager observes this and asks the waiter to decrease the concentration to prescribed level. If the drink prepared had initial volume of 1.74 litres, what will be the volume of added water after attaining the prescribed concentration? Dilution is done by using water only. Correct Answer 1.16 litres Initial volume of drink = 1.74 litres Initial Concentration = 50% Initial volume of alcohol = 1.74/2 = 0.87 litres Initial volume of water = 0.87 litres Final volume of alcohol = 0.87 litres Concentration = 30% Let the final volume of mixture be x liters. ∴ Amount of alcohol in drink = 0.3 × x = 0.3x litres ⇒ 0.87 = 0.3x ∴ x = 2.9 litres Final volume of drink = 2.9 litres ∴ Amount of water added = 2.9 − 1.74 = 1.16 litres
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