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

  • question_answer
    The simple interest on any amount is \[\frac{2}{9}\] of principal. If number of years is twice the rate of interest, then for how many years that amount was given?

    A) 2

    B) \[6\frac{2}{3}\]

    C) 4

    D) None of these

    Correct Answer: B

    Solution :

    [b] Let \[P=Rs.\,x,\] \[SI=\text{Rs}.\frac{2}{8}x,\] \[r=r%,\] \[\therefore \]      \[SI=\frac{P\times r\times t}{100}\] \[\Rightarrow \]   \[\frac{2}{9}x=\frac{x\times r\times 2r}{100}\] \[\Rightarrow \]   \[\frac{100}{9}={{r}^{2}}\] \[\Rightarrow \]   \[r=\frac{10}{3}%\] Hence, time \[=\frac{2\times 10}{3}=\frac{20}{3}=6\frac{2}{3}yr\]


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