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 fraction of the bill did Veena pay?

(b) 3/11. Explanation: Let Tanya's share =₹ x. Then, Veena's share =₹ (x/2), Amita's share =₹ (2/3 × x/2)=₹ (x/3). Total bill =₹ (x+x/2+x/3)=₹ (11 x/6). ∴ Required fraction = (x/2 × 6/11 x)=3/11.

Three friends had dinner at a restaurant. When the bill was received, Amita paid 2/3 as much as Veena paid… · ABC26GN1130

Subject: General Aptitude · Chapter: Simplification · Exam: SNAP 2005

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)$\frac{5}{8}$

Answer

Answer (as printed): B

Explanation

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

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for Simplification

1. Practise the PYQsPrevious-year questions, with answers

· Browse this chapter in the app