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SSC Quantitative Aptitude Simple Interest Question Bank Simple and Compound Interest (II)

  • question_answer
    The simple interest on a sum of money is \[\frac{8}{25}\] of the sum. If the number of years is numerically half the rate per cent per annum, then the rate per cent per annum is [SSC CGL Tier II, 2016]

    A) \[5\]

    B) \[4\]

    C) \[8\]

    D) \[6\frac{1}{4}\]

    Correct Answer: C

    Solution :

    [c] Let the amount is Rs. x and rate of SI is r%. Then, number of years \[=\frac{r}{2}\] \[\therefore \]      \[\frac{8}{25}\times x=\frac{x\times r\times \frac{r}{2}}{100}\]\[\Rightarrow \]\[8=\frac{{{r}^{2}}}{2\times 4}\] \[\therefore \]      \[r=\sqrt{16\times 4}=4\times 2=8%\]


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