10th Class Mathematics Related to Competitive Exam Question Bank Commercial Mathematics

  • question_answer
    In how many years will a sum of Rs. 8000 at 10% per annum compounded semi-annually become Rs. 9261?

    A)  \[2\frac{1}{2}\]               

    B)         \[1\frac{1}{2}\]  

    C)  \[2\frac{1}{3}\]               

    D)        \[1\frac{1}{3}\]

    Correct Answer: B

    Solution :

     Rate \[=5%\] per half-yearly Let          time \[=2n\] half years =n years Then      \[8000{{\left( 1+\frac{5}{100} \right)}^{2n}}=9261\] \[\Rightarrow \]               \[{{\left( \frac{21}{20} \right)}^{2n}}=\frac{9261}{8000}={{\left( \frac{21}{20} \right)}^{3}}\] \[\therefore \]  \[2n=3\] or n


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