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      Question

      Out of 180 litres of paint mixture, the ratio of red to

      blue paint is 5:4. What quantity of red paint should be added to make the ratio 7:5?
      A 25 litres Correct Answer Incorrect Answer
      B 35 litres Correct Answer Incorrect Answer
      C 20 litres Correct Answer Incorrect Answer
      D 12 litres Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Red paint = (5/9) × 180 = 100 litres

      Blue paint = (4/9) × 180 = 80 litres

      Let red paint added = x litres

      Then, (100 + x) : 80 = 7 : 5

      So, 100 + x = (7/5) × 80 = 112

      x = 112 - 100 = 12 litres

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