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      Question

      A quantity u is directly proportional to v. When u =

      96, then v = 32. When v = 50, then find the value of u.
      A 120 Correct Answer Incorrect Answer
      B 140 Correct Answer Incorrect Answer
      C 150 Correct Answer Incorrect Answer
      D 160 Correct Answer Incorrect Answer

      Solution

      u ∝ v, which means, when 'u' increases then 'v' will also increase and when 'u' decreases then 'v' will also decrease. So, Let, u = k X v (where, 'k' is a proportionality constant) ATQ,
      96 = k X 32 So, k = (96/32) = 3 When 'v' = 50, then,
      u = 3 X 50 = 150

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