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8th Class Mathematics Linear Equations in One Variable Question Bank Linear Equations in One Variable

  • question_answer
    How much pure alcohol should be added to \[400\text{ }ml\] of strength 15% to make its strength 32% ?

    A)  \[50\text{ }ml\]                              

    B)                         \[\text{75 }ml\]                              

    C)                         \[\text{100 }ml\]                            

    D)                         \[\text{150 }ml\]

    Correct Answer: C

    Solution :

    \[\frac{15}{100}\times 400=60\] \[\frac{60+x}{400+x}\times 100=32\] \[\Rightarrow \]               \[\frac{60+x}{400+x}=\frac{32}{100}=\frac{8}{25}\] \[\Rightarrow \]               \[x=100\,\,ml\]


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