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SSC Sample Paper SSC CGL - Sample Paper-28

  • question_answer
    The population of a village increases by 20% in one year and decrease by 20% by the next year. If at the beginning of the third year, the population is 5184, what was the population in the first year?

    A) 5400

    B) 5500

    C) 5600                            

    D) 5800

    Correct Answer: A

    Solution :

    Present populations     after 1 yr Next year
    x \[x+20%\] of \[x\left( x+\frac{x}{5} \right)-20%\] of \[\left( x+\frac{x}{5} \right)\]
    or or
    x \[\left( x+\frac{x}{5} \right)\] \[\frac{4}{5}\left( x+\frac{x}{5} \right)\]
    By given condition, \[\frac{4}{5}\left( x+\frac{x}{5} \right)=5184\] \[\Rightarrow \]   \[\frac{4}{5}\times \frac{6x}{5}=5184\] \[\Rightarrow \]   \[x=\frac{5184\times 25}{24}=5400\]                


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