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

  • question_answer
    The difference between simple interest and compound interest at yearly intervals on Rs. 3000 for 2 years at 6% is

    A)  Rs. 20.80         

    B)         Rs. 15.80

    C)  Rs.10.80           

    D)         Rs.9.80

    Correct Answer: C

    Solution :

     Simple interest \[=\frac{6}{100}\times 2\times 3000=Rs.360\] Compound interest in first year = Simple interest in first year                 \[=\frac{6}{100}\times 2\times 3000=Rs.360\] Compound interest in 2nd year on \[(3000+180)\]                 \[Rs.3180=\frac{6}{100}\times 1\times 3180\]                 \[Rs.190.80\] \[\therefore \] Total Compound interest \[=Rs.\text{ }180+190.80\] \[=Rs.\,370.80\] Difference between SI and CI \[=Rs.\,\,370.80-Rs.360\] \[=Rs.10.80\]


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