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Discussion :: Percentage

  1. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

  2. A.

    2 : 3

    B.

    1 : 1

    C.

    3 : 4

    D.

    4 : 3

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    Answer : Option A

    Explanation :


    5 % of A + 4 % of B = \( \frac { 2} { 3 } \) ( 6% of A + 8 % of B)

     

    \( \frac { 1 } { 20 } \) A + \( \frac { 1 } { 25} \) B = A + \( \frac { 4 } { 75} \) B

     

     [\( \frac { 1 } { 20 } \)-\( \frac { 1 } { 25} \) ] A = [ \( \frac { 4 } { 75} \)-\( \frac { 1 } { 25} \)] B

     

     = \( \frac { 100 } { 75} \) = \(\frac { 4 } { 3 } \)
     

     Required ratio = 4 : 3


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