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8th Class Mathematics Rational Numbers Question Bank Rational Numbers

  • question_answer
    Santosh divides his herd of n cows among his four sons so that the first son gets one- half the herd, the second son gets one-fourth, the third son gets one-fifth and the fourth son gets 7 cows. The value of n is.

    A)  80                               

    B)  100            

    C)  140

    D)  180

    Correct Answer: C

    Solution :

    (c): \[\left( \frac{n}{2}+\frac{n}{4}+\frac{n}{5} \right)+7=n\] \[\Rightarrow \left( \frac{10n+5n+4n}{20} \right)+7=n\] \[\Rightarrow \frac{19n}{20}+7=n;\Rightarrow n-\frac{19n}{20}=7\] \[\therefore \frac{n}{20}=7\Rightarrow n=140\]    


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