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      Question

      The length of a cuboid is increased by 20%, its breadth

      is increased by 15% and its height is decreased by 10%. Find the percentage change in its volume.
      A 55.6 Correct Answer Incorrect Answer
      B 24.2 Correct Answer Incorrect Answer
      C 34.8 Correct Answer Incorrect Answer
      D 32.5 Correct Answer Incorrect Answer

      Solution

      ATQ, Let initial dimensions be l, b, h. Initial volume = lbh cubic units New volume = 1.2l Γ— 1.15b Γ— 0.9h = 1.242lbh Required percentage change = {(1.242lbh – lbh)/lbh} Γ— 100 = 24.2%

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