Question
A vessel contains 120 liters of a mixture of milk and
water, with 75% of it being milk. If 30 liters of this mixture is replaced by 30 liters of water, what is the new percentage of milk in the mixture?Solution
Amount of milk in the initial mixture = 75% of 120 liters = 90 liters Amount of water in the initial mixture = 120 - 90 = 30 liters When 30 liters of the mixture is replaced by water, the amount of milk removed = 75% of 30 liters = 22.5 liters So, the remaining milk = 90 - 22.5 = 67.5 liters The total volume of the mixture remains 120 liters, but now the water is 30 liters (original) + 30 liters (added) = 60 liters Percentage of milk in the new mixture = (67.5/120) × 100 = 56.25% ≈ 56%
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