Question

Three friends had dinner at a restaurant. When the bill was received, Amita paid $2/3$ as much as Veena paid and Veena paid $1/2$ as much as Tanya paid. What faction of the bill did Veena pay?

• A. $1/3$
• B. $3/11$
• C. $12/13$
• D. $5/8$

Answer 1

Answer: (B)

$3/11$

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