The selling price of an article is ₹ 150 . Find the profit percentage, if the cost price of the article is 82.5% of the selling price.

Correct option is C

Given:
Selling Price (SP) = ₹ 150
Cost Price (CP) = 82.5% of SP
Formula Used:
Profit = SP - CP
Profit Percentage = $$\frac{Profit}{CP}$$​ × 100
Solution:
Find the relation between SP and CP:
CP = 0.825 × SP
Calculate the profit in terms of SP:
Profit = SP - 0.825 × SP = 0.175 × SP
Calculate the Profit Percentage:
Profit % = $$\frac{0.175 × SP}{0.825 × SP} × 100$$​​

Profit % = $$\frac{175}{825} × 100$$​​

= $$\frac{7}{33} × 100 \approx 21.2121...\%$$​​
Final Answer
So the correct answer is (c)