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

  • question_answer
    A sum of Rs. 1000 is lent to be returned in 11 monthly instalments of Rs. 100 each, interest being simple. The rate of interest is

    A)  91%                      

    B)         10%

    C)  11%                      

    D)         21%  

    Correct Answer: D

    Solution :

     \[Rs.1000+S.I.\] on \[Rs.1000\] for 11 months \[=Rs.1000+S.I.\] on \[Rs.100\] for \[(1+2+3+4+....+10)\] months \[Rs.1000\] S.I. on \[Rs.\text{ }100\] for 100 months \[=Rs.1000+S.I.\] on \[Rs.100\] for 55 months S.I. on \[Rs.100\]for 55 months                 \[=Rs.100\] \[\therefore \] Rate \[=\left( \frac{100\times 100\times 12}{100\times 55} \right)%=21\frac{9}{11}%\]


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