Question

Mark (✓) against the correct answer
A vendor bought lemons at 6 for a rupee and sold them at 4 for a rupee. His gain % is

(a) 50%
(b) 40%
(c) $33\frac{1}{3}\%$
(d) $16\frac{2}{3}\%$

Answer 1

(a) 50%

CP of six lemons = Re 1
CP of one lemon = $\mathrm{Rs}\frac{1}{6}$

CP of four lemon = $\mathrm{Rs}\frac{4}{6}$
SP of four lemon = Re 1

Gain = $1-\frac{4}{6}=\frac{2}{6}=\mathrm{Rs}\frac{1}{3}$
$$\begin{gathered} \mathrm{Gain}\%=\left(\frac{\mathrm{Gain}}{CP}\times 100\right) \\ =\left(\frac{3}{2\times 3}\times 100\right) \\ =\frac{100}{2} \\ =50 \end{gathered}$$