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50 litres of alcohol-water mixture of ratio 17 ∶ 8 is mixed with 60 litres of another alcohol-water mixture of ratio 11 ∶ 4. Some more water was added to it to obtain a final mixture of ratio 2 ∶ 1. What is the quantity of final mixture?1). 113 litres2). 117 litres3). 121 litres4). 125 litres |
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Answer» Quantity of alcohol in 50 litres of first mixture = 17/25 × 50 = 34 litres Quantity of water in 50 litres of first mixture = 8/25 × 50 = 16 litres Similarly, Quantity of alcohol in 60 litres of second mixture = 11/15 × 60 = 44 litres Quantity of water in 60 litres of second mixture = 4/15 × 60 = 16 litres ⇒ Total quantity of alcohol in new mixture = 34 + 44 = 78 litres ⇒ Total quantity of water in new mixture = 16 + 16 = 32 litres Let ‘x’ litres of water be added to obtain the final mixture ⇒ Ratio of final mixture = 78 ? (32 + x) = 2 ? 1 ⇒ 78 = 64 + 2x ⇒ x = 14/2 = 7 litres ∴ Total quantity of final mixture = 78 + 32 + 7 = 117 litres |
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