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

  • question_answer
    A sum of Rs. 11000 was taken as a loan. This is to be repaid in two equal instalments. If the rate of interest be 20% compounded annually, then the value of each instalment is

    A)  Rs. 8420

    B)  Rs. 7920

    C)  Rs. 7200  

    D)  Rs. 7000

    Correct Answer: C

    Solution :

    Let the value of each instalment be Rs. x. Then, (P.W. of Rs. x due 1 year hence) + (P.W. of Rs. x due 2 years hence) = Rs. 11000 \[\therefore \]  \[\frac{x}{\left( 1+\frac{20}{100} \right)}+\frac{x}{{{\left( 1+\frac{20}{100} \right)}^{2}}}=11000\] or            \[\frac{5x}{6}+\frac{25x}{36}=11000\] or            \[55x=36\times 11000\] or            \[x=\left( \frac{36\times 11000}{55} \right)=Rs.7200\]


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