​If the selling price of an article is $$\frac{5}{4}$$​ of its cost price, then the profit obtained in the transaction is: ​

Correct option is D

Given:

​the selling price of an article is $$\tfrac{5}{4}$$ of its cost price 

Formula Used: ​

Profit % = $$\frac{\text{Profit}}{CP}\times 100$$​

Solution:

​If the selling price of an article is $$\tfrac{5}{4}$$​​ of its cost price,​

By ratio method,

​Selling price = $$\frac{5}{4}\times$$​ Cost price

​$$\frac{\text{Selling price}}{\text{Cost price}}$$ = $$\frac{5}{4}$$

Cost price : Selling price

4 : 5

Selling price is 1 more than cost price

So that profit is 1 on cost price,

Profit% = $$\frac{1}{4}\times100$$

​​Profit% = 25%

Thus, option (d) is correct.