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      Question

      84 is divided into two parts in such a way that the

      fourth part of the first part and the fifth part of the second are in the ratio 1 : 2. The first part is approximately what percent of the second part?
      A 40% Correct Answer Incorrect Answer
      B 45% Correct Answer Incorrect Answer
      C 49% Correct Answer Incorrect Answer
      D 32% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      First part = x and second part = 84 – x = `(x/4)/((84-x)/5) = 1/2` ⇒ x/4 × 5/(84-x)= 1/2 ⇒ 10x = 336 - 4x ⇒ 14x = 336 ⇒x = 24 Second part will be 84 – 24 = 60 Required percentage = 24/60 × 100 = 40%

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