SSC Sample Paper SSC CGL - Sample Paper-12

  • question_answer
    At what per cent per annum Rs. 3000 amount to Rs. 3993 in 3 yr if the interest is compounded annually?

    A) 9%                               

    B) 10%    

    C) 11%                             

    D) 13%

    Correct Answer: B

    Solution :

    P = Rs. 3000, A = Rs. 3993, n = 3 yr \[A=P{{\left( 1+\frac{r}{100} \right)}^{n}}\]  \[\therefore \]     \[{{\left( 1+\frac{r}{100} \right)}^{n}}=\frac{A}{P}\]             \[{{\left( 1+\frac{r}{100} \right)}^{3}}=\frac{3993}{3000}=\frac{1331}{1000}\]             \[{{\left( 1+\frac{r}{100} \right)}^{3}}={{\left( \frac{11}{10} \right)}^{3}}\] \[\Rightarrow \]   \[1+\frac{r}{100}=\frac{11}{10}\] \[\Rightarrow \]   \[\frac{r}{100}=\frac{11}{10}-1\] \[\Rightarrow \]   \[\frac{r}{100}=\frac{11}{10}\] \[\Rightarrow \] \[r=\frac{100}{10}\]             R = 10%


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