A shopkeeper sold a jacket after giving two successive discounts of 10% and 20% on its marked price. He still made a profit of 20%. If the total discount given by him was Rs. 280, find the cost price of the jacket.

ATQ, Let the marked price of the jacket be Rs. 100. First discount = 10% Price after first discount = 100 − 10 = Rs. 90 Second discount = 20% Discount on Rs. 90 = 20% of 90 = 18 Price after second discount = 90 − 18 = Rs. 72 So, after two successive discounts, selling price becomes 72% of the marked price. Therefore, total discount = 100% − 72% = 28% of the marked price. Given total discount = Rs. 280 So, 28% of marked price = 280 Marked price = 280 × 100 ÷ 28 = Rs. 1000 Now, selling price = 72% of marked price Selling price = 1000 × 72 ÷ 100 = Rs. 720 The shopkeeper made a profit of 20%. So, selling price = 120% of cost price 120% of cost price = 720 Cost price = 720 × 100 ÷ 120 = 720 × 5 ÷ 6 = Rs. 600