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8th Class Mathematics Direct and Inverse Proportions Question Bank Direct and Inverse Proportions

  • question_answer
    If \[11.25\text{ }m\] of a uniform iron rod weighs \[42.75\text{ }kg,\]what will be the weight of \[6\text{ }m\]of the same rod?

    A)  \[22.8\,kg\]                      

    B)  \[25.6\,kg\]      

    C)  \[28\,kg\]          

    D)         \[26.5\,kg\]

    Correct Answer: A

    Solution :

    Let the required weight be x kg. The length and weight are in direct proportion. \[\therefore \] \[11.25:6:\,\,:42.75:x\] \[\Rightarrow \]               \[11.25\times x=6\times 42.75\] \[\Rightarrow \]               \[x=\frac{6\times 42.75}{11.25}\]  \[\Rightarrow \] \[x=22.8\]


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