Anand marks up the price of an article by 50% and then allows a discount of 20% and sells it to Balaji who sells it for Rs. 20, more than what he purchased for, this selling price is 30% more then the original cost price of the article. Then Balaji's profit % is = ?

Solution(By Examveda Team)

Let original cost price = 100 units
$$\eqalign{ & {\text{Cost price of Balaji }} \cr & {\text{ = 100}} \times \frac{{150}}{{100}} \times \frac{{80}}{{100}} \cr & {\text{ = 120 units}} \cr & {\text{Selling price of Balaji }} \cr & {\text{ = }}\frac{{130}}{{100}} \times 100\, \cr & {\text{ = 130 units}} \cr & {\text{Profit of Balaji }} \cr & {\text{ = 130}} - 120 \cr & = {\text{10 units}} \cr & {\text{Profit percent }} \cr & {\text{ = }}\frac{{10}}{{120}} \times 100 \cr & {\text{ = 8}}{\text{.33}}\% \cr} $$
Note: There is no use of Rs. 20 given in the question