Rahul marked an article 50% above its cost price and then offered a discount of 20% on the marked price. He made a profit of Rs. 600. If he sells the same article at a profit of 35%, find the difference between the two profits.

ATQ, Let cost price of the article = Rs. 100 Marked price is 50% above cost price. So, marked price = 100 + 50 = Rs. 150 Discount allowed = 20% on marked price Selling price after discount = 150 × 80/100 Selling price = 150 × 4/5 = Rs. 120 So, when cost price is Rs. 100, selling price is Rs. 120. Profit = 120 − 100 = Rs. 20 It means the profit percentage is 20%. Given actual profit = Rs. 600 So, 20% of cost price = Rs. 600 Cost price = 600 × 100/20 Cost price = Rs. 3000 Now, if he sells the same article at 35% profit: Profit at 35% = 3000 × 35/100 Profit at 35% = 3000 × 7/20 = 21000/20 = Rs. 1050 Previous profit = Rs. 600 Difference between the two profits = 1050 − 600 = Rs. 450