SSC Sample Paper Mock Test-11 SSC CGL Tear-II Paper-1

  • question_answer
    At what rate "per cent per annum will a sum of Rs. 1000 amount of Rs. 1102.50 in 2 yr at compound interest?

    A) 5%

    B)  5.5%    

    C)  6%

    D)  6.5%

    Correct Answer: A

    Solution :

    According to the question,                        
    \[A=P{{\left( 1+\frac{R}{100} \right)}^{T}}\]\[\Rightarrow \]\[\frac{1102.50}{1000}={{\left( 1+\frac{R}{100} \right)}^{2}}\]
    \[\Rightarrow \]\[\frac{11025}{10000}={{\left( 1+\frac{R}{100} \right)}^{2}}\]\[\Rightarrow \]\[{{\left( \frac{105}{100} \right)}^{2}}={{\left( 1+\frac{R}{100} \right)}^{2}}\]
    \[\Rightarrow \]   \[1+\frac{R}{100}=\frac{105}{100}\]\[\Rightarrow \]\[\frac{R}{100}=\frac{5}{100}\]
    \[\therefore \]                  \[R=5%\]


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