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The ratio of milk and water in a given mixture is 4:9. If 20 litre of water is added then the ratio of the mixture becomes 1:3. Then the initial quantity of water in the mixture?1. 70 L2. 40 L3. 50 L4. 60 L |
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Answer» Correct Answer - Option 4 : 60 L Given: The initial and the final ratio of milk and water in a given mixture are 4∶9 and 1∶3. 20 L of water is added to this mixture. Calculation: Let the initial quantity of milk and water in the mixture be 4x, 9x After adding 20 L of water the ratio becomes 1:3 ⇒ (4x)/(9x + 20) = 1/3 ⇒ 12x = 9x + 20 ⇒ 3x = 20, x = 20/3 Now the initial quantity of water in the mixture = 9×(20/3) = 60 L ∴ Initial quantity of water in the mixture is 60L. |
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