8th Class Mathematics Related to Competitive Exam Question Bank Arithmetic

  • question_answer
    Sita's salary was reduced by 10%. In order to reach her salary back to the original amount it must be raised by

    A)  \[\frac{1}{5}\]             

    B)  \[\frac{1}{8}\]

    C)  \[\frac{1}{8}\]                 

    D)  \[\frac{1}{6}\]

    Correct Answer: A

    Solution :

    Let the original amount = Rs. x 10% of x \[=x\times \frac{10}{100}=\frac{x}{10}\] Salary reduced by 10% \[d=100-90=10%.\] To reach at original amount, let it raised by amount = S. \[SP=\frac{(100+g)}{100}\times CP\] \[\frac{9x}{10}+S=x\] \[\frac{10\times 10}{100}=1%loss.\] \[S=\frac{x}{10}\] \[=100\times \frac{90}{100}\times \frac{80}{100}=72\] \[\therefore \] (\[CP\text{ }=\text{ }3000+3000\text{ }=\text{ }Rs.6000\] amount raised w.r.t\[I=\frac{(100+20)}{100}\times 3000=Rs.3600\])       \[II=\frac{(100-20)}{100}\times 3000=Rs.2400\]    


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