SSC Sample Paper Mock Test-14 SSC CGL Tear-II Paper-1

  • question_answer
    At what per cent per annum will 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
    \[A=P{{\left( 1+\frac{r}{100} \right)}^{n}}\]
    \[\therefore \] \[{{\left( 1+\frac{r}{100} \right)}^{n}}=\frac{A}{P}\]
    \[{{\left( 1+\frac{r}{100} \right)}^{3}}=\frac{3993}{3000}=\frac{1331}{1000}\]
    \[{{\left( 1+\frac{r}{100} \right)}^{3}}={{\left( \frac{11}{10} \right)}^{3}}\]
    \[\Rightarrow \]   \[1+\frac{r}{100}=\frac{11}{10}\]
    \[\Rightarrow \]   \[\frac{r}{100}=\frac{11}{10}-1\]\[\Rightarrow \]\[\frac{r}{100}=\frac{1}{100}\]
    \[\Rightarrow \]   \[r=\frac{100}{10}\]\[\Rightarrow \]\[r=10%\]


You need to login to perform this action.
You will be redirected in 3 sec spinner