In a 84 liter container of milk and water, the ratio of water to milk is 1:3. Some part of this mixture is replaced by another mixture in which pure milk is 80% Now percentage of water becomes 24% What fraction of mixture was replaced
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Total quantity of mixture = 84 liters
Quantity of milk in the mixture = 3/7 × 84 = 36 liters
Quantity of water in the mixture = 84 – 36 = 48 liters
Let the quantity of water added in the mixture be x liters.
⇒ 36/ (48 + x) = 3/5
⇒ 36 × 5 = (48 + x) × 3
⇒ 180 = 144 + 3x
⇒ 3x = 180 – 144
⇒ 3x = 36
⇒ x = 36/3
∴ x = 12 liters
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