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  5. Ratio and Proportion

6th Class Mathematics Ratio and Proportion Question Bank Ration and Proportion

  • question_answer
    If \[x:y=4:5\], then \[(4x+5y):(5x-2y)\] is equal to

    A)  41 : 10

    B)  4 :5

    C)  16 : 25

    D)  3 : 10

    Correct Answer: A

    Solution :

    We have, x : y = 4 : 5 \[\Rightarrow 5x=4y\Rightarrow x=\frac{4}{5}y\] ?(i) Now, \[(4x+5y):(5x-2y)\] \[=\left[ 4\left( \frac{4}{5}y \right)+5y \right]:\left[ 5\left( \frac{4}{5}y \right)-2y \right]\](using (i)) \[=\left( \frac{16}{5}y+5y \right):(4y-2y)\] \[=\frac{41}{5}y:2y=41:10\]


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