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6th Class Mathematics Ratio and Proportion Question Bank Ratio, Proportion & Unitary Method

  • question_answer
    If \[(3x+4y):\] \[(3x-4y)=\] \[(3c+8d):\] \[(3x-8d)\] then which of the following is true.

    A) \[xd=yc\]                    

    B)  \[2xd=yc\]

    C) \[2xd-cd\]                    

    D)  \[xy-cd\]

    Correct Answer: B

    Solution :

    \[\frac{3x+4y}{3x-4y}=\frac{3c+8d}{3c-8d}\] \[\bcancel{9xc}-24xd+12cy-\bcancel{32yd}\]\[=\bcancel{9xc}+24xd-12yc-\bcancel{32yd}\] \[-24xd-24xd=-12yc-12yc\] \[\overset{2}{\mathop{-\bcancel{48xd}}}\,=-\bcancel{24yc}\] \[2xd=yc\]


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