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8th Class Mathematics Comparing Quantities Question Bank Percentage, Profit and Loss

  • question_answer
    A man's salary is increased by 10%. In order to have his salary back to the original amount, it must be reduced by x%, then value of x is

    A)  \[11\frac{1}{9}%\]                   

    B)  \[1\frac{11}{9}%\]            

    C)  \[11\frac{9}{11}%\]                 

    D)  \[9\frac{1}{11}%\]

    Correct Answer: D

    Solution :

    (d): Similar to Q5 10% increase \[\Rightarrow 1.1x\] Let decrease be p% \[\Rightarrow 1.1x\text{ }becomes\,1.1x\frac{\left( 100-p \right)}{100}=x.\] \[\Rightarrow 1.1\left( 100-p \right)=100\] \[\Rightarrow 110-1.1p=100\] \[\Rightarrow 1.1p=10\] \[\Rightarrow p=\frac{10}{1.1}=\frac{100}{11}=9\frac{1}{11}%\]


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