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NMAT 2008 Question-3

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)

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