Calculation of Profit Percentage in a Rice Purchase Scenario

The scenario presented involves a shopkeeper buying 80 kg of rice at a 10% discount, receiving 1 kg of rice free for every 20 kg purchased. We will calculate the profit percentage he would make if he sells the rice at its marked price.

Understanding the Problem

For simplicity, let's assume that the marked price of rice is x Rs/kg. Given that the shopkeeper bought 80 kg of rice, let's break down the calculations step by step.

Step-by-Step Calculation

Step 1: Calculate the Cost Price (CP)

First, we need to determine the cost price (CP) of the rice.

The shopkeeper bought 80 kg of rice at a 10% discount. Therefore, the discounted price is 90% of the original price. CP of 80 kg 80 kg * (100 - 10)% of x 80 kg * 90% of x 80 kg * 0.9x 72x Rs. In addition, the shopkeeper received 4 kg of rice for free because he bought 80 kg (20 kg * 4). Therefore, the total cost price (CP) 72x - 4x 72x-4x 72x Rs.

Step 2: Calculate the Selling Price (SP)

The shopkeeper sells the rice at the marked price.

Total weight of rice received 80 kg 4 kg (free rice) 84 kg. SP of 84 kg 84 kg * x 84x Rs.

Step 3: Calculate the Profit and Profit Percentage

Profit SP - CP

Profit 84x - 72x 12x Rs.

Profit Percentage (Profit / CP) * 100

Profit Percentage (12x / 72x) * 100 (12/72) * 100 16.67%

Example with a Specific Marked Price

Let's assume the marked price is 10 Rs/kg for simplicity.

The cost of 80 kg of rice is 800 Rs. Discount of 10% means the shopkeeper pays 90% of the cost price, which is 720 Rs. Total weight of rice received 80 kg 4 kg (free rice) 84 kg. SP for 84 kg at 10 Rs/kg is 840 Rs. Profit 840 Rs - 720 Rs 120 Rs. Profit Percentage (120 / 720) * 100 16.67%

Conclusion

Based on the calculations, the shopkeeper would make a profit percentage of approximately 16.67% if he sells the rice at the marked price of 10 Rs/kg. The exact profit percentage can be calculated similarly for any other marked price.