SSC Sample Paper Mock Test-9 SSC CGL Tear-II Paper-1

  • 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 :

    Suppose P = Rs. 100 and amount A = Rs. 225 \[A=P{{\left( 1+\frac{r}{100} \right)}^{r}}\] \[\Rightarrow \]\[225=100{{\left( 1+\frac{r}{100} \right)}^{2}}\] \[\Rightarrow \]\[\frac{225}{100}={{\left[ 1+\frac{r}{100} \right]}^{t}}\] \[\Rightarrow \]\[1+\frac{r}{100}=\frac{15}{10}\]\[\Rightarrow \]\[\frac{100+r}{100}=\frac{15}{10}\] \[\Rightarrow \]\[100+r=150\]\[\Rightarrow \]\[r=50%\]


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