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Q.) Three friends had dinner at a restaurant. When the bill was received, Roopa paid 2/3 as much as Shilpa paid and Silpa paid 1/2 as much as Deepa paid. What fraction of the bill did Shilpa pay?

(A) 15/24

(B) 12/31

(C) 3/11

(D) 1/3

Solution :

Let the amount paid be Deepa be X Rs.

Amount paid by Silpa = $\frac { X }{ 2 } $

Amount paid by Silpa = $\frac { 2 }{ 3 } *\frac { X }{ 2 } =\frac { X }3 $

Hence the fraction of bill paid be Shilpa =$ \frac { \frac { X }{ 3 } }{ X } =\frac { 1 }{ 3 } $

Hence , Option(D)