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      Question

      A quantity m is directly proportional to another

      quantity n. When m = 75, then n = 45. When n = 60, then find the value of m.
      A 80 Correct Answer Incorrect Answer
      B 90 Correct Answer Incorrect Answer
      C 100 Correct Answer Incorrect Answer
      D 120 Correct Answer Incorrect Answer

      Solution

      m ∝ n, which means, when 'm' increases then 'n' will also increase and when 'm' decreases then 'n' will also decrease. So, Let, m = k X n (where, 'k' is a proportionality constant) ATQ,
      75 = k X 45 So, k = (75/45) = (5/3) When 'n' = 60, then,
      m = (5/3) X 60 = 5 X 20 = 100

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