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A mixture contains water and solution in the ratio of 2 : 3. When 30 litres of mixture is replaced by water then concentration of water becomes 58%. Find the difference between the quantity of water and solution after replacement.1. 24 litres2. 16 litres3. 10 litres4. 18 litres5. 20 litres |
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Answer» Correct Answer - Option 2 : 16 litres Given: Let quantity of water and solution be 2a litres and 3a litres respectively. ⇒ Quantity of water after replacement = 2a - 30 × 2/5 + 30 = 2a + 18 ⇒ Quantity of solution after replacement = 3a - 30 × 3/5 = 3a - 18 Total quantity of mixture after replacement = 2a + 18 + 3a - 18 = 5a litres Then, ⇒ (2a + 18)/5a × 100 = 58 ⇒ 40a + 360 = 58a ⇒ a = 20 ∴ Required difference = (2a + 18) - (3a - 18) = 16 litres |
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