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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.
Question

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.

A.

22.21%

B.

23.21%

C.

21.21%

D.

20.21%

Correct option is C

Given:
Selling Price (SP) = ₹ 150
Cost Price (CP) = 82.5% of SP
Formula Used:
Profit = SP - CP
Profit Percentage = ProfitCP \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 % = 0.175×SP0.825×SP×100\frac{0.175 × SP}{0.825 × SP} × 100​​

Profit % = 175825×100\frac{175}{825} × 100​​

733×10021.2121...%\frac{7}{33} × 100 \approx 21.2121...\%​​
Final Answer
So the correct answer is (c)

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