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      Question

      The station master decides that the length of the

      rectangular digital board is increased by 4% and the width is reduced to 6%. Find out the total change in the area.
      A 1.24% reduction Correct Answer Incorrect Answer
      B 2.24% increase Correct Answer Incorrect Answer
      C 2.24% reduction Correct Answer Incorrect Answer
      D 1.24% increase Correct Answer Incorrect Answer

      Solution

      Let length and breadth of the rectangle be x and y respectively. As we know, Area of the rectangle = xy New length of the rectangle = x ├Ч 104/100 = 1.04x New breadth of the rectangle = y ├Ч 94/100 = 0.94 New area of the rectangle = 1.04x ├Ч 0.94y = 0.9776xy Area decreased by (in %) = [(xy-0.9776xy) /xy] x 100 ┬а = 2.24%

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