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    • Question

      ‘P’ and ‘Q’ are two points 12 cm apart. A point

      ‘R’ is located on PQ such that PR is 7 cm. If PR is increased by 20%, by what percentage does the length of QR decrease?
      A 28% Correct Answer Incorrect Answer
      B 32% Correct Answer Incorrect Answer
      C 12% Correct Answer Incorrect Answer
      D 18% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      PQ = 12 cm

      PR = 7 cm

      Therefore, QR = 12 – 7 = 5 cm

      New PR = 1.20 × 7 = 8.4 cm

      New QR = 12 – 8.4 = 3.6 cm

      Percentage decrease = {(5 - 3.6)/5} × 100 = 28%

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