4th Class Mathematics Fractions Question Bank Fractions

  • question_answer
    Aneesh spent \[\frac{3}{7}\] of his money on a shirt and _ \[\frac{1}{2}\]of the remainder on a pair of trousers. If he had Rs. 23 left, how much did Aneesh spend altogether?

    A)  Rs. 23            

    B)    Rs. 57.50       

    C)    Rs. 52.50      

    D)    Rs. 80.50

    Correct Answer: B

    Solution :

    Total money spent by Aneesh \[=\frac{3}{7}+\frac{1}{2}\times \left( 1-\frac{3}{7} \right)=\frac{3}{7}+\frac{2}{7}=\frac{5}{7}\] Amount left with him = Rs. 23             \[\therefore \] \[\left( 1-\frac{5}{7} \right)=\] Rs. \[23\Rightarrow \frac{2}{7}=\]Rs. 23             \[\Rightarrow \]  \[\frac{2}{7}\times \frac{7}{2}=\] Rs. \[23\times \frac{7}{2}\Rightarrow 1=\] Rs. \[\frac{161}{2}\] \[\therefore \]Total money Aneesh had = Rs. \[\frac{161}{2}\] \[\therefore \] Amount he spent \[=\frac{5}{7}\times \] Rs. \[\frac{161}{2}\] = Rs. \[\frac{5\times 23}{5}=\] Rs. \[\frac{115}{2}=\] Rs. 57.50


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