CLAT CLAT Solved Paper-2012

  • question_answer
    In a factory, the production of scooters rose to 48400 from 40000 in 2 yr. The rate of growth per annum is

    A)  20%                           

    B)  10%    

    C)  30%                           

    D)  8%

    Correct Answer: B

    Solution :

    Ans.  From the formula, \[A=P{{\left( 1+\frac{r}{100} \right)}^{n}}\], we have \[48400=40000\,{{\left( 1+\frac{r}{100} \right)}^{2}}\] \[\Rightarrow \]  \[\frac{484}{400}=\,{{\left( 1+\frac{r}{100} \right)}^{2}}\Rightarrow \,\,{{\left( 1+\frac{r}{100} \right)}^{2}}={{\left( \frac{22}{20} \right)}^{2}}\] \[\Rightarrow \] \[1+\frac{r}{100}=\frac{22}{20}\,\Rightarrow \,1+\frac{r}{100}=\frac{11}{10}\] \[\Rightarrow \] \[\frac{r}{100}=\frac{1}{10}\] \[\therefore \] \[r=10%\]


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