The cost price of an article is Rs. (x + 1000). A shopkeeper marked it 25% above the cost price and sold it after giving a discount of 20% for Rs. 4800. If he marked the same article 40% above the cost price and allowed a discount of 25%, then find the profit percent.

ATQ, Let the cost price of the article be CP. Given cost price = Rs. (x + 1000) First case: The shopkeeper marked the article 25% above the cost price. So, marked price = 125% of CP He gave a discount of 20%. So, selling price = 80% of marked price. Therefore, selling price as a percentage of cost price = 125 × 80/100 Selling price as a percentage of cost price = 100% Given selling price = Rs. 4800 So, 100% of CP = Rs. 4800 CP = Rs. 4800 Now, cost price = x + 1000 So: x + 1000 = 4800 x = 4800 − 1000 x = 3800 Second case: The shopkeeper marks the same article 40% above the cost price. So, marked price = 140% of CP He allows a discount of 25%. So, selling price = 75% of marked price. Therefore, selling price as a percentage of cost price = 140 × 75/100 Selling price as a percentage of cost price = 105% This means the article is sold at 105% of its cost price. Cost price = 100% Selling price = 105% Profit percent = 105% − 100% Profit percent = 5%