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

  • question_answer
    During a period of two years, a principal of Rs. 100 amounts to Rs. 121 at the annual compount rate of r%. The value of r will be

    A)  9                            

    B)         10  

    C)  \[\frac{21}{2}\]               

    D)         11

    Correct Answer: B

    Solution :

     Given, Sum \[(P)=Rs.100,\] Amount due \[(A)=Rs.121,\], Time \[(n)=2\]years, Rate \[(r)=?\] We know   \[A=P\left( 1+\frac{r}{100} \right)\] \[\therefore \]  \[121=100{{\left( 1+\frac{r}{100} \right)}^{2}}\] or            \[{{\left( 1+\frac{r}{100} \right)}^{2}}=\frac{121}{100}\] or \[1+\frac{r}{100}=\frac{11}{10}=1+\frac{1}{10}=1+\frac{10}{100}\] \[\therefore \] \[r=10%\]


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