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8th Class Mathematics Rational Numbers Question Bank Rational Numbers

  • question_answer
    Rahul read \[\frac{2}{5}\]th of a book on the first day. He read \[\frac{1}{3}\]rd more on second day than he read on the first day. 15 pages were left for the third day. The number of pages in the book is

    A)  100                             

    B)  105            

    C)  225

    D)  250

    Correct Answer: C

    Solution :

    (c): Let the number of pages in the book be x. \[\frac{2x}{5}+\frac{2x}{5}\left( \frac{x}{3}\times \frac{2}{5} \right)+15=x\] \[\Rightarrow \frac{4x}{5}+\frac{2x}{15}+15=x\] \[\Rightarrow \frac{12x+2x+225}{15}=x\] \[\Rightarrow 14x+225=15x\] \[\Rightarrow 15x-14x=225\] \[\therefore x=225\]                               


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