Question
A solution is formed by mixing three liquids P, Q, and R
in the ratio 4:3:2. Liquid P contains 50% alcohol, Liquid Q contains 40% alcohol, and Liquid R contains 30% alcohol. What is the percentage of alcohol in the final mixture?Solution
Let the volumes of P, Q, and R be 4x, 3x, and 2x liters respectively. Total volume = 4x + 3x + 2x = 9x liters Alcohol in P = 4x × 0.50 = 2.00x liters Alcohol in Q = 3x × 0.40 = 1.20x liters Alcohol in R = 2x × 0.30 = 0.60x liters Total alcohol = 2.00x + 1.20x + 0.60x = 3.80x liters Percentage of alcohol = (3.80x / 9x) × 100 = 42.22% The percentage of alcohol in the final mixture is approximately 42%. Correct Option: d
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