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SSC Sample Paper SSC CGL - Sample Paper-28

  • question_answer
    If the amount is 2.25 times of the sum after 2 yr at compound interest (compound annually), the rate of interest per annum is

    A) 25%                             

    B) 30%     

    C) 45%                             

    D) 50%

    Correct Answer: D

    Solution :

    Let the principal \[=Rs.\,P\] and the rate of interest \[=r%\] According to question, \[A=2.25P,\] \[n=2\,yr\] \[\therefore \]    \[2.25=P{{\left( 1+\frac{r}{100} \right)}^{2}}\] \[\Rightarrow \]   \[2.25={{\left( 1+\frac{r}{100} \right)}^{2}}\] \[\Rightarrow \]   \[1.5=1+\frac{r}{100}\] \[\Rightarrow \]   \[\frac{r}{100}=0.5\] \[\Rightarrow \]   \[r=50%\]


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