Question

    A 360-liter mixture consists of milk and water in a 5:4 ratio. If 7.5% of the mixture is removed and replaced with the same amount of water, what is the new ratio of milk to water in the mixture?

    A 11:17 Correct Answer Incorrect Answer
    B 12:19 Correct Answer Incorrect Answer
    C 37:35 Correct Answer Incorrect Answer
    D 35:32 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Quantity of milk in 360 litres of mixture = (5/9) × 360 = 200 litres So, quantity of water in 360 litres of mixture = 360 – 200 = 160 litres Quantity of mixture taken out = 0.075 × 360 = 27 litres Quantity of milk in 27 litres of mixture = (5/9) × 27 = 15 litres So, quantity of water in 27 litres of mixture = 27 – 15= 12 litres Therefore, required ratio = (200 – 15):(160 – 12 + 27) = 185:175 = 37:35

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