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Question:

In festival season, a shopkeeper allows a discount of 10% on every item. Even after giving the discount, he makes a profit of 20%. If he does not give any discount, then what will be his profit percent?

(correct to 2 decimal places)

Explanation:

Let the cost price of the article = 100C

Profit = 20%

Selling price of the article = $\frac{120}{100}$ × 100C = 120C

Discount = 10%

$\frac{90}{100}$ × Marked price = 120C

Marked price of the article = $\frac{400}{3}$C

When no discount is provided,

Selling price = $\frac{400}{3}$C

Profit% = $\frac{{\displaystyle \frac{400}{3}}C-100C}{100C}$ × 100

= 33.33%

Hence, the correct answer is Option C