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A 75 liters solution contained curd-milk and water in the ratio 3 ∶ 2. 22.5 liters of the mixture was spilled by the servant and to avoid being scolded, he replaced that spilled amount with pure curd - milk. What is the ratio of curd - milk and water in the mixture?

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A 75 liters solution contained curd-milk and water in the ratio 3 ∶ 2. 22.5 liters of the mixture was spilled by the servant and to avoid being scolded, he replaced that spilled amount with pure curd - milk. What is the ratio of curd - milk and water in the mixture?


1). 18 ∶ 7
2). 36 ∶ 13
3). 2 ∶ 1
4). 6 ∶ 7


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Answered by on | Votes 1 |

Total volume of mixture = 75 l

Total volume of curd - milk initially = 75 × (3/5) = 45 liters

Total volume of water in mixture = 30 liters

After removing 22.5 liters of mixture, curd - milk and water are also removed proportionately. It means 13.5 liters of curd - milk and 9 liters of water is removed.

After replacement, amount of curd - milk in mixture = 45 - 13.5 + 22.5 = 54 liters

Amount of water in the mixture = 30 - 9 = 21 liters

∴ New ratio is 18 ? 7.

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