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SSC Sample Paper SSC CGL - Sample Paper-18

  • question_answer
    Three friends had dinner at a restaurant. When the bill was received, Amita paid \[\frac{2}{3}\] as much as Veena paid and Veena paid \[\frac{1}{2}\] as much as Tanya paid. What fraction of the bill did Veena pay?

    A) \[\frac{1}{3}\]                          

    B) \[\frac{3}{11}\]

    C) \[\frac{12}{31}\]                                   

    D) \[\frac{5}{8}\]

    Correct Answer: B

    Solution :

    Let Tanya's share \[=Rs.\,x.\] Then, Veena's share \[=Rs.\left( \frac{x}{2} \right)\] Amita's share \[=Rs.\left( \frac{2}{3}\times \frac{x}{2} \right)=Rs.\left( \frac{x}{3} \right)\] Total bill \[=Rs.\left( x+\frac{x}{2}+\frac{x}{3} \right)=Rs.\left( \frac{11x}{6} \right)\] \[\therefore \] Required fraction \[=\left( \frac{x}{2}\times \frac{6}{11x} \right)=\frac{3}{11}\]


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