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    Question

    If the numerator of a fraction is increased by 16.66 %

    and denominator decreased by 14.28 % then, it becomes the reciprocal of itself. Find the original fraction value.
    A 6/7 Correct Answer Incorrect Answer
    B 5/7 Correct Answer Incorrect Answer
    C 13/7 Correct Answer Incorrect Answer
    D 23/7 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    Let the fraction can be determined as   a/b (a + (1/6)a) / (b - (1/7)b) =  b/a (7a/6) / (6b/7) = (7a x 7) / (6b x 6) = b/a (49a)/(36b) = b/a a2/b2 = 36/49 a/b = 6/7 

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