8th Class Mathematics Comparing Quantities Question Bank Comparing Quantities

  • question_answer
    In how many years will a sum of \[Rs.\text{ }800\]at 10% per annum compounded semi-annually become \[Rs.\text{ }926.10\]?

    A)  \[1\frac{1}{3}\]                               

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

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

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

    Correct Answer: B

    Solution :

    Let the time be 'n' years. Then, \[800\times {{\left( 1+\frac{5}{100} \right)}^{2n}}=926.10\] \[\Rightarrow \]               \[{{\left( \frac{21}{20} \right)}^{2n}}={{\left( \frac{21}{20} \right)}^{3}}\] \[\Rightarrow \]               \[2n=3\Rightarrow n=\frac{3}{2}\] \[\therefore \]  \[n=1\frac{1}{2}\] years


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