SSC Sample Paper SSC CGL - Sample Paper-29

  • question_answer
    A builder borrows Rs. 2550 to be paid back with compound interest at the rate of 4% per annum by the end of 2 yr in two equal yearly instalments. How much will each instalment be?

    A) Rs. 1352           

    B) Rs. 1377

    C) Rs. 1275                       

    D) Rs. 1283

    Correct Answer: A

    Solution :

    Let each instalment be\[=Rs.\,x\] \[\therefore \]      \[x={{P}_{1}}{{\left( 1+\frac{4}{100} \right)}^{n}}\] \[\Rightarrow \] \[{{P}_{1}}=\left( \frac{25}{26} \right)x\]                              ?(i) Similarly, \[{{P}_{2}}={{\left( \frac{25}{26} \right)}^{2}}x\]                             ?(ii) \[\therefore \]      \[\left( \frac{25}{26} \right)x+{{\left( \frac{25}{26} \right)}^{2}}x=2550\] \[\Rightarrow \] \[\left( \frac{25}{26} \right)x+\left( 1+\frac{25}{26} \right)=2550\] \[\Rightarrow \] \[x=\frac{2550\times 26\times 26}{25\times 51}=1352\] \[\therefore \] Each instalment be Rs. 1352.


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