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    Question

    The station master decides that the length of the

    rectangular digital board be increased by 5% and the width be reduced to 7%. Find out the total change in the area.
    A 1.24% reduction Correct Answer Incorrect Answer
    B 2.35% increase Correct Answer Incorrect Answer
    C 2.35% 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 × 105/100 = 1.05x New breadth of the rectangle = y × 93/100 = 0.93 New area of the rectangle = 1.05x × 0.93y = 0.9765xy Area decreased by (in %) = [(xy-0.9765xy) /xy] x 100   = 2.35%

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