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10 litres of solution taken out from mixture of solution and water and filled again with water. This process is repeated for two times. The ratio between the solution and water in the resultant mixture is 81 : 19. Find the quantity of water in the resultant mixture.1. 21 litres2. 25 litres3. 12 litres4. 15 litres5. 19 litres |
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Answer» Correct Answer - Option 5 : 19 litres Given: Let quantity of mixture be a litres. ⇒ Quantity of solute in the resultant mixture = a × (1 - 10/a)2 ⇒ [a × (1 - 10/a)2 ]/a = 81/100 ⇒ a = 100 litres ∴ Quantity of water in resultant mixture = 100 - 100 × (1 - 10/100)2 = 19 litres |
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