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CMC Medical CMC-Medical VELLORE Solved Paper-2013

  • question_answer
    One-fifth a number is equal to\[\frac{5}{8}\]of another number. If 35 is added to the first number, it becomes four times of the second number, The second number is

    A)  25                                         

    B)  40

    C)  70                                         

    D)  125

    Correct Answer: B

    Solution :

                    Let the numbers be x and y. Then, \[\frac{1}{5}x=\frac{5}{8}y,\] \[\Rightarrow y=\frac{8}{25}x\] Now, \[x+35=4y\Rightarrow x+35=\frac{32}{25}x\] \[\Rightarrow \frac{7}{25}x=35\,x=\left( \frac{35\times 25}{7} \right)=125\] \[\therefore \]Second number \[y=\frac{8}{25}x=\left( \frac{8}{25}\times 125 \right)=40\]


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