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      Question

      55 litres of a solution contains alcohol and water in

      the ratio 2:3. Water is added in the solution. The new mixture has a ratio of alcohol and water as 1:5. Find the quantity of water added.
      A 87 litres Correct Answer Incorrect Answer
      B 77 litres Correct Answer Incorrect Answer
      C 97 litres Correct Answer Incorrect Answer
      D 67 litres Correct Answer Incorrect Answer

      Solution

      Let initial quantity of alcohol and water be 2x and 3x. тЗТ ┬а2x + 3x = 55 тЗТ ┬а5x = 55 тЗТ ┬аx = 11 Initial quantity of alcohol = 2x тЗТ ┬а22 litres Initial quantity of water = 3x тЗТ ┬а33 litres Let the water to be added be x litres. 22/(33 + x) = 1/5 тЗТ ┬а110 = 33 + x тЗТ ┬а77 = x Therefore, quantity of water added is 77 litres.

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