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SSC Sample Paper SSC CGL - Sample Paper-5

  • 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)  30%                            

    B)  50%

    C)  20%                            

    D)  25%

    Correct Answer: B

    Solution :

    Suppose, \[P=100\] \[CI=225\] \[A=P{{\left( 1+\frac{r}{100} \right)}^{t}}\] Or         \[225=100{{\left( 1+\frac{r}{100} \right)}^{2}}\] Or         \[\frac{225}{100}={{\left[ 1+\frac{r}{100} \right]}^{2}}\] Or         \[\left( \frac{1+r}{100} \right)=\frac{\sqrt{225}}{\sqrt{100}}\]      Or         \[1+\frac{r}{100}=\frac{15}{10}\] Or         \[\frac{100+r}{100}=\frac{15}{10}\] Or         \[100+r=150\] Or         \[r=50%\]


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