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8th Class Mathematics Comparing Quantities Question Bank Comparing Quantities

  • question_answer
    Sam invested \[Rs.15000\]at the rate of \[10%\] per annum for one year. If the interest is compounded half-yearly, what is the amount received by Sam at the end of the year?

    A)  \[Rs.\,16500\]                                  

    B)                         \[Rs.16525.50\]     

    C)                         \[Rs.16537.50\]               

    D)                         \[Rs.18150\] 

    Correct Answer: C

    Solution :

    \[P=Rs.\,15000;\,\,R=10%\,p.a=5%\,per\] half-year; \[~T=1\] year \[~=2\]half-years. \[\therefore \] Amount \[=\left[ 15000\times {{\left( 1+\frac{5}{100} \right)}^{2}} \right]\] \[=Rs.\,\left( 15000\times \frac{21}{20}\times \frac{21}{20} \right)\]                 \[=Rs.\,16537.50\]


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