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      Question

      A quantity x is directly proportional to another quantity y. When x = 56, then y = 28. When y = 45, then find the value of
      x.

      A 90 Correct Answer Incorrect Answer
      B 72 Correct Answer Incorrect Answer
      C 84 Correct Answer Incorrect Answer
      D 96 Correct Answer Incorrect Answer

      Solution

      x โˆ y, which means, when 'x' increases then 'y' will also increase and when 'x' decreases then 'y' will also decrease. So, Let, x = k X y (where, 'k' is a proportionality constant) ATQ,
      56 = k X 28 So, k = (56/28) = 2 When 'y' = 45, then,
      x = 2 X 45 = 90 Hence, option a.

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