CLAT Sample Paper CLAT Sample Paper-1

  • question_answer
    A certain sum amounts to Rs 8988.3 in two years and to Rs 9528.128 in three years at compound interest per annum. What is the principal and rate of interest?

    A)  Rs 12000, 5%    

    B)  Rs 6000, 8%

    C)  Rs 8000, 6%      

    D)  Rs 10000, 8.5%

    Correct Answer: C

    Solution :

    \[\frac{P{{\left( 1+\frac{r}{100} \right)}^{3}}}{P{{\left( 1+\frac{r}{100} \right)}^{2}}}=\left( 1+\frac{r}{100} \right)\] \[\therefore \] \[\frac{9528.128}{8988.8}=\left( 1+\frac{r}{100} \right)\] \[\Rightarrow \] \[\left( 1+\frac{84270}{1404500} \right)=\,\left( 1+\frac{r}{100} \right)\] \[\Rightarrow \] \[\left( 1+\frac{6}{100} \right)=\left( 1+\frac{r}{100} \right)\] \[\Rightarrow \] \[r=6%\] So, \[8988.8=P{{\left( 1+\frac{6}{100} \right)}^{3}}\] \[\therefore \] \[P=8000\]


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