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

  • question_answer
    A sum of Rs. 3200 invested at 10% per annum compounded quarterly amounts to Rs. 3362. Compute the time period.

    A) \[\frac{1}{2}yr\]

    B) \[1\,yr\]

    C) \[2y\]

    D) \[\frac{3}{4}y\]

    Correct Answer: A

    Solution :

    [a] \[A=P{{\left( 1+\frac{r}{100} \right)}^{n}}\] \[\Rightarrow \]   \[3362=3200{{\left( 1+\frac{10}{400} \right)}^{n}}\] \[\Rightarrow \]   \[\frac{3362}{3200}={{\left( \frac{41}{40} \right)}^{n}}\]\[\Rightarrow \]\[\frac{1681}{1600}={{\left( \frac{41}{40} \right)}^{n}}\] \[\Rightarrow \]   \[n=2\] quarter \[=\frac{1}{2}yr\]


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