If selling price of an article is $$\frac{4}{3}$$ of its cost price, the profit in the transaction is -

A. $$16\frac{2}{3}$$ %

B. $$20\frac{1}{2}$$ %

C. $$25\frac{1}{2}$$ %

D. $$33\frac{1}{3}$$ %

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & {\text{Let C}}{\text{.P}}{\text{.}} = {\text{Rs}}{\text{. }}x. \cr & Then,S.P. = {\text{Rs}}.\frac{{4x}}{3} \cr & Gain = {\text{Rs}}.\left( {\frac{{4x}}{3} - x} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}\frac{x}{3} \cr & \therefore {\text{Gain }}\% \cr & = \left( {\frac{x}{3} \times \frac{1}{x} \times 100} \right)\% \cr & = 33\frac{1}{3}\% \cr} $$