Railways Sample Paper RRB (Group D) Sample Test Paper-7

  • question_answer
    At what rate per cent per annum will a sum of Rs. 1, 000 amount to Rs. 1,102.50 in 2 years at compound interest?

    A)  5                    

    B)  5.5

    C)  6                    

    D)  6.5

    Correct Answer: A

    Solution :

    [a] \[A=p{{\left( 1+\frac{R}{100} \right)}^{T}}\] \[\Rightarrow \,\,\,\frac{1102.50}{1000}={{\left( 1+\frac{r}{100} \right)}^{2}}\] \[\Rightarrow \,\,\,\frac{11025}{10000}={{\left( 1+\frac{r}{100} \right)}^{2}}\] \[\Rightarrow \,\,\,{{\left( \frac{105}{100} \right)}^{2}}={{\left( 1=\frac{r}{100} \right)}^{2}}\] \[\Rightarrow \,\,\,1+\frac{r}{100}=\frac{105}{100}\] \[\Rightarrow \,\,\,\frac{r}{100}=\frac{105}{100}-\,1\] \[\Rightarrow \,\,\,r=5%\]


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