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    Question

    The station master decides to increase the length and

    decrease the breadth of a rectangular digital board by 7% and 7% respectively. Show changes in total area
    A 0.49% less Correct Answer Incorrect Answer
    B Increases 0.36% Correct Answer Incorrect Answer
    C Increases 0.49% Correct Answer Incorrect Answer
    D 0.36% decreases Correct Answer Incorrect Answer

    Solution

    Let the length and breadth of the rectangular board be x and y respectively. As we know, Area of the rectangular board = xy New length of the rectangle = x ×107/100 = 1.07x New breadth of the rectangle = y x 93/100 = 0.93y New area of the rectangle = 1.07x × 0.93y = 0.9951xy Area decreased by (in %) = [(xy-0.9951xy)/xy] x 100 = 0.49%

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