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      Question

      A tank has a mixture of two chemicals A and B in the ratio

      2:3. After adding 10 litres of A and 5 litres of B, the new ratio becomes 4:5. What was the original volume of the mixture?
      A 75 Correct Answer Incorrect Answer
      B 45 Correct Answer Incorrect Answer
      C 35 Correct Answer Incorrect Answer
      D 88 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let A = 2y, B = 3y

      (2y + 10):(3y + 5) = 4:5

      тЗТ 5(2y + 10) = 4(3y + 5)

      тЗТ 10y + 50 = 12y + 20

      тЗТ 2y = 30 тЗТ y = 15

      Initial quantity = 2y + 3y = 5y = 5 ├Ч 15 = 75 litres

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