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

  • question_answer
    If 30% of \[(A+B)=60%\] of \[(A-B),\] then find\[A:B\].

    A) \[4:2\]                          

    B)  \[3:1\]

    C) \[1:3\]                          

    D)  \[3:2\]

    Correct Answer: B

    Solution :

    30% of \[(A+B)=60%\] of\[(A-B)\] \[\frac{30}{100}(A+B)=\frac{60}{100}(A-B)\] \[1(A+B)=2((A-B)\] \[\Rightarrow \]\[A+B=2A-2B\] \[\Rightarrow \]\[A-2A=-2B-B\] \[-A=-3B\Rightarrow \frac{A}{B}=\frac{3}{1}\] \[\therefore \]\[A:B=3:1\]


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