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    Question

    If the length of a rectangle is increased by 40%, and the breadth is decreased by 20%,then the area of the rectangle increases by x%. Then the value of x is:

    A 16 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer

    Solution

    Area of the rectangle = length breadth now, Length = 140% of length = 1.4length breadth = 80% of breadth = 0.8breadth Area of rectangle = 1.4 length     ×   0.8 breadth = 1.12 length  × breadth Increment in area of rectangle = 1.12 length × breadth - length × breadth = 0.12 length × breadth Percentage increment in area of rectangle = frac{ 0.12 length x breadth}{length x breadth} \100 x% = 12%

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