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    Question

    If the length of the rectangle is increased by 40%, by

    what percent should the width be reduced to maintain the same area?
    A 16.67% Correct Answer Incorrect Answer
    B 33.33% Correct Answer Incorrect Answer
    C 28.57% Correct Answer Incorrect Answer
    D 13.37% Correct Answer Incorrect Answer

    Solution

    Let the length = 100 and breadth = 100 Now, new length = 140 and breadth = x So, 100  ×  100 = 140  × x x = 500/7 Required % decrease = 100 –  500/7  = 200/7 = 28.57% Alternate Method: Let Length is changing from 100 to 140 So breadth will decrease reversly from 140 to 100 So % decrease  = {(140-100)/140} × 100 =  200/7% = 28.57%

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