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      Question

      In village P, the number of male voters is 45% more than

      the number of female voters. The ratio of male voters in village P to village Q is 8:5. If the number of female voters in village Q is 20% more than the number of female voters in village P, then determine the number of male voters in village Q, given that the total population of both villages is 2187.
      A 455 Correct Answer Incorrect Answer
      B 435 Correct Answer Incorrect Answer
      C 365 Correct Answer Incorrect Answer
      D 325 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let number of females voters in village P is ‘100p’ Number of males voters in village P = 1.45 × 100p = 145p Number of males voters in village Q = (5/8) × 145p Number of females voters in village Q = 1.20 × 100p = 120p According to question; 100p + 120p + 145p + (5/8) × 145p = 2187 Or, 3645p = 2187 × 8 Or, p = 4.8 Desired Answer = (5/8) × 145 × 4.8 = 435

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