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

  • question_answer
    The compound interest of Rs. 1,000 at the rate of 10% will be Rs. 210 in

    A)  one year            

    B)  two years  

    C)  three years      

    D)  four years

    Correct Answer: B

    Solution :

     Given Sum \[\text{(P)=}Rs.\text{ }1000,\]Rate \[=10%,\] C.I. \[=Rs.\text{ }210,\]Time \[(n)=?\] Now     \[C.I.=P\left[ {{\left( 1+\frac{r}{100} \right)}^{n}}-1 \right]\] \[\therefore \]                  \[210=1000\left[ {{\left( 1+\frac{10}{100} \right)}^{n}}-1 \right]\] or            \[{{\left( \frac{11}{10} \right)}^{n}}-1=\frac{210}{1000}=0.21\] or            \[{{\left( \frac{11}{10} \right)}^{n}}=1.21=\frac{121}{100}={{\left( \frac{11}{10} \right)}^{2}}\] \[\therefore \]  \[n=2\] years


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