CLAT Sample Paper CLAT Sample Paper-4

  • question_answer
    If in a certain number of years Rs 3000 amount to Rs 4320 at compound interest, in half that time Rs 3000 will amount to

    A)  Rs 3400          

    B)  Rs 3600

    C)  Rs 3800          

    D)  Rs 3520

    Correct Answer: B

    Solution :

    Let r% be the rate and n yr be the time. Then,              \[4320=3000\,{{\left( 1+\frac{r}{100} \right)}^{n}}\] \[\Rightarrow \] \[{{\left( 1+\frac{r}{100} \right)}^{n}}=\frac{4320}{3000}=1.44\] \[\Rightarrow \] \[{{\left( 1+\frac{r}{100} \right)}^{n/2}}=\sqrt{1.44}=1.2\] In \[\frac{n}{2}yr\], Rs 3000 will amount to \[3000\,{{\left( 1+\frac{r}{100} \right)}^{n/2}}=3000\times 1.2\] = Rs 3600


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