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?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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