Question

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

Let the total lemons be 12.

CP of 6 lemons = ₹1
then, CP of 12 lemons = ₹2

Also, SP of 4 lemons = ₹1
then, SP of 12 lemons = ₹3

Therefore, SP is more than CP.

So, Gain = SP − CP
= ₹3 − ₹2
= ₹1

$$\begin{gathered} \mathrm{Gain}\mathrm{percent}=\frac{\mathrm{Gain}}{\mathrm{CP}}\times 100 \\ =\frac{1}{2}\times 100 \\ =50\% \end{gathered}$$

Hence, the correct option is (a).