A shopkeeper sells an item at a profit of 25% and dishonestly uses a weight that is 30% less than the actual weight. Find his total profit %.

Explanation

To calculate the total profit percentage, we need to consider both the profit margin of 25% and the dishonest practice of using a weight that is 30% less than the actual weight. Step-by-Step Solution: 1. Let the Actual Cost Price (CP) of the item per kg be 100 units. 2. Selling Price (SP): Since the shopkeeper sells at a 25% profit, the SP for 1 kg would be: SP = CP + 25% of CP = 100 + 25 = 125 units. 3. Effective Weight: The shopkeeper is using a weight that is 30% less than the actual weight. Therefore, he is actually giving only 70% of the weight. So, instead of selling 1 kg, he is selling only 1 kg × 0.70 = 0.70 kg. 4. Effective Selling Price per kg: The shopkeeper charges for 1 kg (125 units) but only gives 0.70 kg. Effective SP per kg = 125 / 0.70 = 178.57 units (approximately). 5. Total Profit Percentage: Now, we calculate the total profit percentage: Total Profit % = ((178.57 - 100) / 100) × 100 = 78.57%. Conclusion: The shopkeeper's total profit percentage is approximately 78.57%.