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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-3

  • question_answer
    A sum of money becomes eight times in 3 years, if the rate is compounded annually. In how much time will the same amount at the same compound rate become sixteen times?

    A)  6 years            

    B)  4 years  

    C)  8 years

    D)         5 years

    Correct Answer: B

    Solution :

     Let the principal be Rs. 1. \[\therefore \]\[A=P{{\left( 1+\frac{R}{100} \right)}^{T}}\] \[\Rightarrow \]\[8=1{{\left( 1+\frac{R}{100} \right)}^{3}}\Rightarrow {{2}^{3}}={{\left( 1+\frac{R}{100} \right)}^{3}}\] \[\Rightarrow \]   \[={{\left( 1+\frac{r}{100} \right)}^{3}}={{2}^{4}}={{\left( 1+\frac{r}{100} \right)}^{4}}\] \[\therefore \]Time\[=4\]years


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