A shopkeeper sold a TV set for Rs 17940 with a discount of 8% and earned a profit of 19.6%. What would have been the percentage of profit earned if no discount was offered?

Let the marked price of the TV set be Rs x. 

Discount = 8% 

Selling price of the TV = 92 % of Rs x = Rs  (92X / 100) 

(92X / 100) = 17940  

⇒ x = [Rs  17940 × 100] / 92 = Rs 19500 

Selling price = Rs 17940, Profit = 19.6% 

Cost price = Rs (17940 × 100) / (119.6) = Rs 15000 

No discount been offered selling price would have been Rs 19500.

Profit = Rs 19500 – Rs 15000 = Rs 4500 

Profit percentage = (4500 / 15000) * 100 = 30%

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