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The ratio of milk and water in a mixture of 60 liters is 7 : 8 .Now, 10 liters of mixture is replaced by 10 liters of milk, then find the ratio of milk and water in the final mixture1. 4 : 32. 8 : 53. 5 : 44. 5 : 3 |
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Answer» Correct Answer - Option 3 : 5 : 4 Given: Initial Quantity of mixture = 60 liters Ratio of milk and water initially in the mixture = 7 : 8 10 liters of mixture is replaced by 10 liters of milk Calculation: Initial amount of milk in mixture = 7/15 × 60 liters ⇒ 28 liters Initial amount of water = 60 – 28 liters ⇒ 32 liters Now, Amount of milk and water in10 liters of mixture Milk = 7/15 × 10 liters ⇒ milk = 14/3 liters water = 8/15 × 10 liters ⇒ water = 16/3 liters Amount of 10 liters of mixture was replaced by 10 liters of milk Amount of milk in the mixture = 28 – 14/3 + 10 liters ⇒ 100/3 liters Amount of water in the mixture = 32 – 16/3 liters ⇒ 80/3 liters Final ratio of milk and water = 100/3 : 80/3 ⇒ 5 : 4 ∴ The ratio of milk and water in the final mixture is 5 : 4 |
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