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

  • question_answer
    The simple interest on a sum of money is \[\frac{1}{9}\] of the principal and the number of years is equal to rate per cent per annum. The rate per annum is

    A) \[3%\]                           

    B) \[\frac{1}{3}%\]

    C) \[3\frac{1}{3}%\]            

    D)        \[\frac{3}{10}%\]

    Correct Answer: C

    Solution :

    \[\frac{\text{Simple}\,\,\text{interest}}{\text{Principal}}\text{=}\frac{\text{1}}{\text{9}}\] If the annual rate of interest be\[r%\], then Rate\[\text{=}\frac{\text{S}\text{.I}\text{. }\!\!\times\!\!\text{ 100}}{\text{Principal}\,\,\text{ }\!\!\times\!\!\text{ }\,\,\text{Time}}\] \[\Rightarrow \]   \[r=\frac{1}{9}\times \frac{100}{r}\Rightarrow {{r}^{2}}=\frac{100}{9}\] \[\Rightarrow \]   \[r=\sqrt{\frac{100}{9}}=\frac{10}{3}=3\frac{1}{3}%\]


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