SSC Sample Paper SSC CGL - Sample Paper-21

  • question_answer
    Seema invested amount of Rs. 16000 for two years at compound interest and received an amount of Rs. 17640 on maturity. What is the rate of interest?

    A) 8% per annum   

    B) 5% per annum

    C) 4% per annum   

    D) Data inadequate

    Correct Answer: B

    Solution :

    Given that, \[A\,\text{=}\,\,\text{Rs}\text{.}\,16000,\] \[\text{ }A=Rs.17640,\] \[n=2yr\] \[\therefore \]      \[A=P{{\left( 1+\frac{r}{100} \right)}^{n}}\] \[\Rightarrow \]   \[\frac{17640}{16000}={{\left( 1+\frac{r}{100} \right)}^{2}}\] \[\Rightarrow \]   \[\frac{441}{400}={{\left( 1+\frac{2}{100} \right)}^{2}}\] \[\Rightarrow \]   \[{{\left( \frac{21}{20} \right)}^{2}}={{\left( 1+\frac{r}{100} \right)}^{2}}\] \[\Rightarrow \]   \[\frac{r}{100}=\frac{1}{20}\] \[\Rightarrow \] \[r=5%\]


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