8th Class Mathematics Comparing Quantities Question Bank Comparing Quantities

  • question_answer
    The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 6, 31, 680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago?

    A)  9,00,000                    

    B)  5.00,000        

    C)  6,00,000        

    D)         7,00,000        

    Correct Answer: D

    Solution :

    Let the population two years ago \[=x\] After 1 year, it remained \[=x-\frac{6}{100}x\] After 2 years, it remained \[=\left( x-\frac{6x}{100} \right)-\left( x-\frac{6x}{100} \right)\times \frac{4}{100}\] Since, present population = population after 2 years \[\Rightarrow 631680=x-\frac{6x}{100}-\frac{4x}{100}+\frac{24x}{10000}\] \[\Rightarrow 631680=\frac{10000x-600x-400x+24x}{10000}\] \[\Rightarrow 631680=\frac{9024x}{10000}\] \[\Rightarrow \frac{631680\times 10000}{9024}=x\] \[\Rightarrow x=700000\] Thus, the population two years ago was 700000


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