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

  • question_answer
    A man borrows Rs, 12500 from a bank at 20% compound interest. At the end of every year he pays Rs. 2000 as part repayment. How much does he still owe to the bank after three such instalments?

    A)  Rs. 15600

    B)  Rs. 12864

    C)  Rs. 12000

    D)  Rs. 14320  

    Correct Answer: D

    Solution :

      Balance \[=Rs.\left[ 12500\times {{\left( 1+\frac{20}{100} \right)}^{3}} \right]\] \[=Rs.\left[ 2000\times {{\left( 1+\frac{20}{100} \right)}^{2}}+2000\times \left( 1+\frac{20}{100} \right)+2000 \right]\]                 \[=Rs.\left[ \left( 12500\times \frac{6}{5}\times \frac{6}{5}\times \frac{6}{5} \right) \right]\]                                 \[-\left[ \left( 2000\times \frac{6}{5}\times \frac{6}{5}+2000\times \frac{6}{5}+2000 \right) \right]\]                 \[=Rs.[21600-(2880+2400+2000)\]                 \[=Rs.14320\]


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